STATLIT SAMPLE FINAL EXAM - FCAMPENA€¦ · 1 STATLIT SAMPLE FINAL EXAM MULTIPLE CHOICE: On the answer sheet provided, SHADE COMPLETELY the letter of the correct answer. If the correct

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STATLIT SAMPLE FINAL EXAM MULTIPLE CHOICE: On the answer sheet provided, SHADE COMPLETELY the letter of the correct answer. If the correct answer is not among the given choices, shade the letter ‘E’. For numbers 1 to 3: A researcher wants to determine the proficiency in solving math problems stated in Filipino of elementary students in Bahaghari Elementary School, Manila. To do this, she obtains a sample of 92 students from the school and gives them a mathematics quiz written in Filipino. She then records the quiz scores of the students. 1. What is the population of the study ?

A. All grade 3 students in Bahaghari Elementary School

B. All Filipino students in all elementary schools

C. All elementary students in Manila

D. All elementary students in Bahaghari Elementary School

2. What is the variable of interest of the researcher?

A. Elementary schools C. Filipino quiz scores

B. Mathematics quiz scores D. IQ

3. Suppose the students in the sample had an average of 75% on their quiz scores. The researcher then uses this information

to estimate the average of all the students in Bahaghari Elementary School. Which branch of statistics is applied by the

researcher?

A. Descriptive Statistics C. Mathematical Statistics

B. Inferential Statistics D. Probability

4. The professors in a university are yearly evaluated by an instrument using a 5- level Likert scale: 5 outstanding 4: very good 3: good 2: moderately good 1: needs improvement. Which of the following is TRUE about the evaluation ratings?

A. It is quantitative. B. It is in the ordinal level of measurement. C. It is in the interval level of measurement. D. It is discrete.

For numbers 5 & 6: The following table gives the names, year levels, and weekly allowances of the following college students.

Name Year Level Weekly Allowance (in PhP)

John Freshman 3,000

Reggie Senior 2,000

Mark Junior 1,500

David Senior 2,000

Joy Freshman 1,000

5. Which statement is TRUE about the variable ‘year level’?

A. It is qualitative. B. It is in the nominal level of measurement. C. Both A and B. D. Neither A nor B.

6. Which statement is TRUE? A. The only measure of central tendency appropriate to summarize year level is the mean. B. The only measure of central tendency appropriate to summarize the weekly allowances is the standard deviation.. C. The mode of the weekly allowances is 1,500 pesos. D. The range of the distribution of weekly allowances is 2,000.

7. The figure on the right shows the frequency curves of two symmetric distributions A and B. Which of the following must be true? A. The median of data A is less than the median of data B. B. The mode of data A is less than the mode of data B. C. The mean of data A is greater than the mean of data B. D. The dispersion of data B is greater than that of data A. For numbers 8 & 9: The administrators of a university are trying to determine whether they have an adequate amount of parking. They take a random sample of 20 entering freshmen and ask them what mode of transportation they will use in going to school. The responses are given in the table below.

Bus Car Bus Jeep Bus

Bus Bus Bus Bus Train

Jeep Jeep Car Train Walk

Bus Car Train Bus Car

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8. Which statement is TRUE?

A. The mode of transportation that is most popular is the bus. B. The only measure of central tendency appropriate to summarize the data is the mean. C. The least popular mode of transportation is the train. D. The data shows that there are two modes of transportation: private and public.

9. From the given data, which graph is most appropriate to present the proportions or percentages of students using these modes of transportations?

A. line graph B. boxplot C. stemplot D. circle graph 10. The starting incomes for a sample of graduates from a particular university was recorded and summarized in the following frequency distribution table:

Starting Salary (in PhP1000) Frequency

10-14 2

15-19 5

20-24 10

25-29 6

30-34 2

If a starting salary of P 25 000 is considered as high, what percentage of these graduates has high salaries?

A. 40 % B. 32 % C. 24 % D. 8 % 11. The following graph shows a shop’s monthly sales of umbrellas for the year.

How many more umbrellas were sold in June than in November?

A. 45 B. 40 C. 35 D. 30

0

5

10

15

20

25

30

35

40

45

50

Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

Nu

mb

er o

f U

mb

rella

s So

ld

Months

3

12.. The following graph lists the poverty incidence, that is, percentage of poor people to total population, disaggregated by urban-rural classification from 1985 to 1994. Which of the following statements is TRUE?

A. The national poverty incidences declined from 1985 to 1994. B. The rural poverty incidences declined from 1985 to 1994. C. The national poverty incidence declined from 1988 to 1991, yet the urban-rural incidences increased. D. The national, urban and rural poverty incidences declined from 1991 to 1994. For numbers 13 to 16: Ten new employees of a certain company were partitioned into 2 groups with 5 members each by their team leader. The team leader measured the time taken by these new employees to learn a job. The following are the results and their respective summary statistics:

Number of Minutes taken to learn a job

Group 1 21 17 20 17 14

Group 2 18 16 18 17 19

13. Which of the following is(are) TRUE about the data in group 1?

A. The average time taken by new employees to learn a job is 17.6. B. The standard deviation of the time taken by new employees to learn a job is 2.775. C. Both A and B. D. Neither A nor B.

14. Which of the following is(are) TRUE about the data in group 2?

A. The average time taken by new employees to learn a job is 17.6. B. The standard deviation of the time taken by new employees to learn a job is 1.14. C. Both A and B. D. Neither A nor B.

15. What comparisons can you make between the time taken by new employees to learn a job in Group 1 and in Group 2

based on the mean and standard deviation of the data sets? A. Time taken by new employees in Group 1 is better and less consistent than in Group 2. B. Time taken by new employees in Group 1 is better and more consistent than in Group 2. C. Time taken by new employees in Group 2 is better and less consistent than in Group 1. D. Time taken by new employees in Group 2 is better and more consistent than in Group 1.

16. Which of the following is(are) FALSE about the given information about groups 1 and 2?

A. The mode of the time taken by new employees in group 1 to learn a job is 17. B. The median of the time taken by new employees in group 2 to learn a job is 17. C. The mode and the median of the time taken by new employees in group 1 to learn a job are equal. D. The range of the time taken by new employees in group 2 to learn a job is 3.

17. A study was performed to investigate the association between lead exposure and developmental features in children 5

years old and above. It defined a control group of children whose blood-lead levels were less than 40 g/100ml and an

exposed group of children who had blood-lead levels greater than or equal to 40 g/100ml. The Wechsler full-scale IQ score (a measure of intellectual development) for the two groups are displayed below.

Poverty Statistics

0

10

20

30

40

50

60

1985 1988 1991 1994

Year

Po

vert

y I

ncid

en

ce

National

Urban

Rural

4

Box Plot (Spreadsheet3 10v*124c)

Median

25%-75%

Min-Max Control Exposed

group

40

60

80

100

120

140

160

IQ

Which of the following can be inferred from the box plots?

A. Children with less blood –lead levels have higher IQ. scores. B. Children with greater blood –lead levels have higher IQ scores. C. The control group has less dispersed distribution of IQ scores. D. The exposed group has widely spread distribution of IQ scores

For numbers 18 to 20: Below is a stem and leaf display of the birth weights (in ounces) of 50 consecutive deliveries at a certain hospital (serving a low-income population).

Stem-and-Leaf Display

for birthweight

Stem unit: 10

Leaf unit 1

5 2

6

7 0 1 1 6

8 2 3 6 9

9 2 4 6 8

10 0 0 1 3 5 6 7 7 7

11 0 0 1 4 4 5 6 6 8 9

12 0 0 1 1 3 3 4 7 8 9 9

13 0 2 3 6 8

14 0

15 7

18. Which is(are) TRUE about the given data? A. The heaviest baby born weighs 157 oz. B. Most of the babies born weigh 107 oz. C. The range is 100. D. The median of the distribution is 100 oz.

19. What is the median birth weight of the given data?

A. 110 oz. B. 111 oz. C. 112.5 oz D. 114 oz.

20. Which is TRUE about the first quartile of the given data? A. Twenty five percent of the birth weights are less than or equal to 100 oz. B. Twenty five percent of the birth weights are less than or equal to 93 oz. C. Twenty five percent of the birth weights are less than or equal to 92 oz. D. Twenty five percent of the birth weights are less than or equal to 13 oz 21. It is possible that a distribution of data may not actually contain one of the measures of central tendency. Which one might that be?

A. median B. mean C. mode D. variance 22. Which is TRUE about a right skewed distribution?

A. The median equals the mean. B. The mean is less than the mode. C. The mean is less than the median. D. The mean is greater than the median.

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23. A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss?

A. 0 B. 1/16 C. 1/8 D. ½

24. From a standard deck of cards, one card is drawn. What is the probability that the card is black and a jack?

A. 1/2 B. 1/13 C. 1/26 D. 1/52

25. A pair of dice is rolled and the resulting number is odd. Which of the following events is the complement of this event?

A. a number greater than 8 is rolled C. a number less than 5 is rolled B. an even number is rolled D. a multiple of 5 is rolled

26. A bottle contains 8 marbles: 3 are red and 5 are blue. You are to take a marble from the bottle without looking. What is the probability that you will pick a red marble?

A. 1/3 B. 3/8 C. 5/8 D. 3/5

27. Two cards are drawn at random from a standard deck of 52 cards, without replacement. What is the probability of drawing a 7 and a king in that order?

A. 1/169 B. 1/13 C. 4/169 D. 4/13

28. What is the sample space when a pair of coin is tossed? A. {H,T} B. {HH,TT,TH} C. {TT,HT,HH,TH} D. {T,H,T,H}

29. A survey on ice cream preference consisting of 100 kids was conducted. Among these kids, 30 like chocolate-flavored ice

cream, 50 like strawberry-flavored ice cream and 5 love both flavors. What is the chance of picking a kid who loves strawberry or chocolate?

A. 0.75 B. 0.05 C. 0.3 D. 0.5

30. A basketball team’s 2-point field goal percentage is 45% while its 3-point field goal percentage in 30%. Which of the following statement is true?

A. The expected value of the 2-pt shot is better than the 3-pt shot. B. The expected value of the 3-pt shot is better than the 2-pt shot. C. The expected value of the 2-pt shot is the same as the 3-pt shot. D It does not really matter which expected value is better.

31. A game consists of choosing one out of 50 envelopes. Five of these envelopes have P500, 10 has P200, 15 has P100 while the rest has P50. If this was to be a fair game, how much should be paid to play?

A. 80 B. 100 C. 120 D. 140

32. The random variable X refers to the number of heads in three tosses of a fair coin. What value of the random variable represents the event {HHT, THH, HTH}?

A. 0 B. 1 C. 2 D. 3 33. Suppose that in a game of tossing a coin, you win PhP100.00 when a tail comes out and you lose Php100.00 otherwise. Let the random variable Z be the amount placed for bet in this game. What is the expected amount in this game in Php?

A. 0 B. 100 C. -100 D. 200

34. Suppose that in a game of tossing two coins, you win PhP100.00 when two heads come out and you lose Php50.00 otherwise. Let the random variable Z be the amount placed for bet in this game.

What is the expected amount in this game? A. gain of Php100 C. loss of Php12.50 B. loss of Php 50 D. gain of Php12.50

35. Suppose that in a game of rolling two dice, you win PhP50.00 when a “double” comes out and you lose Php30.00 otherwise. Let the random variable Z be the amount placed for bet in this game

What is the expected amount in this game? A. gain of Php10 C. gain of Php 33.33 B. loss of Php 16.67. D. loss of Php 30

For numbers 36 to 39: The loaves of bread distributed to local stores by a certain bakery have an average length of 30 centimeters and a standard deviation of 2 centimeters. (Please refer to the given statistical outputs below) Normal Probabilities

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Common Data

Mean 30

Standard Deviation 2

Probability for a Range

Probability for X <= From X Value 29.3

X Value 31.7 To X Value 33.5

Z Value 0.85 Z Value for 29.3 -0.35

P(X<=31.7) 0.802337457 Z Value for 33.5 1.75

P(X<=29.3) 0.3632

Probability for X > P(X<=33.5) 0.9599

X Value 25.5 P(29.3<=X<=33.5) 0.5968

Z Value -2.25

P(X>25.5) 0.9878 Find X and Z Given Cum. Pctage.

Cumulative Percentage 90.00%

Probability for X<31.7 or X >25.5 Z Value 1.281552

P(X<31.7 or X >25.5) 1.7901 X Value 32.5631

Find X and Z Given Cum. Pctage.


Z Value -1.281552

X Value 27.4369

Assuming that the lengths are normally distributed, 36. What proportion of the loaves are longer that 31.7 cm?

A. 0.8023 B. 0.1977 C. 0.85 D. 0.15

37. What proportion of the loaves are between 29.3 and 33.5 cm? A. 0.3632 B. 0.9599 C. 0.5968 D. 0.9878

38. Below what value do we get the shortest 10% of all the loaves of bread distributed by this bakery? A. 1.28 B. 32.56 C. 27.44 D. 10

39. Determine the z-value that will give an area of 0.9 to the left. A. -1.2815 B. 1.2815 C. 27.4369 D. 32.5631 For numbers 40 to 44: The distribution of midterm exam scores in STATLIT is normal with mean 81 and standard deviation 6. ( Please refer to the given statistical output s below) Normal Probabilities

Common Data

Mean 81

Standard Deviation 6

Probability for a Range

Probability for X <= From X Value 85

X Value 93 To X Value 93

Z Value 2 Z Value for 85 0.666667

P(X<=93) 0.9772499 Z Value for 93 2

P(X<=85) 0.7475

Probability for X > P(X<=93) 0.9772

X Value 85 P(85<=X<=93) 0.2297

Z Value 0.6666667

P(X>85) 0.2525 Find X and Z Given Cum. Pctage.


Probability for X<93 or X >85 Z Value -0.67449

P(X<93 or X >85) 1.2297 X Value 76.95306



Z Value 0.6744898

X Value 85.0469

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Probability for X >

X Value 95

Z Value 2.3333333

P(X>95) 0.0098



Z Value 0.67449

X Value 85.04694

40. What is the probability that a randomly chosen STATLIT student has a midterm exam score below 93?

A. 0.9772 B. 0.0228 C. 0.2297 D. 0.7475 41. What is the probability that a randomly chosen STATLIT student has a midterm exam score below 85?

A. 0.9772 B. 0.0228 C. 0.2297 D. 0.7475 42. What is the probability that a randomly chosen STATLIT student has a midterm exam score between 85 and 93?

A. 0.9772 B. 0.0228 C. 0.2297 D. 0.7475 43. How many students got a grade greater than 95 if 500 students took the exam?

A. 10 B. 490 C. 5 D. 495 44. Above what score do we get the top 25%?

A. 85 B. 77 C. 67 D. 75 45. Which statement is NOT TRUE?

A. The mean, median and mode of a normal distribution are all equal. B. The total area under the normal curve is less than 1. C. The normal distribution is a discrete distribution. D. The standard normal distribution is specified by a mean of 0 and a standard deviation of 1.

46. Which of the following is/are TRUE about estimators and estimates?

I. An estimator is a random variable. II. Several estimates is associated with an estimator

A. I only B. II only C. Both I and II D. Neither I nor II

47. Which of the following is(are) TRUE?

A. Increasing the level of confidence will result to a longer confidence interval. B. Increasing the sample size will result to a longer confidence interval. C. Both A and B D. Neither A nor B

48. Which of the following is(are) TRUE about estimation?

A. It is concerned with assigning value(s) to unknown population parameter(s).

B. Information provided by sample data is used in estimating the unknown population parameter(s).

C. Both A and B

D. Neither A nor B 49. Which of the following statement/s is/are TRUE about a 90% confidence interval estimate of the true population proportion?

I. The computed interval estimate is one of the 90% of such intervals that contain the true value of the population proportion. II. The interval is expected to be shorter if the sample size is increased.

A. I only C. Both I and II B. II only D. Neither I nor II

50. A prospective entrepreneur wanted to know the proportion of students who eats lunch in the university canteen. He decided to take a random sample of 100 students and asked whether or not they take their lunch in the university canteen. Forty-five said yes. An unbiased estimate of the true proportion of students who take their lunch in the student canteen is ______.

A. 45/50 C. 45 B. 45/100 D. 100

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For numbers 51 to 55: Consider the following and the provided statistical outputs.

An auditor for the state insurance department wants to determine the proportion of claims that are paid by a health insurance company within 2 months of receipt of the claim. A random sample of 200 claims is selected, and it is determined that 80 were paid out within 2 months of the receipt of the claim. Refer to the following statistical outputs.

Confidence Interval Estimate for the Proportion Confidence Interval Estimate for the Proportion

Data Data

Sample Size 200 Sample Size 200

Number of Successes 80 Number of Successes 80

Confidence Level 95% Confidence Level 99%

Intermediate Calculations Intermediate Calculations

Sample Proportion 0.4 Sample Proportion 0.4

Z Value -1.95996398 Z Value -2.575829304

Standard Error of the Proportion 0.034641016 Standard Error of the Proportion 0.034641016

Confidence Interval Confidence Interval

Interval Lower Limit 0.332104856 Interval Lower Limit 0.310770655

Interval Upper Limit 0.467895144 Interval Upper Limit 0.489229345

Confidence Interval Estimate for the Proportion Confidence Interval Estimate for the Proportion

Data Data

Sample Size 200 Sample Size 200

Number of Successes 120 Number of Successes 120



Sample Proportion 0.6 Sample Proportion 0.6

Z Value -1.95996398 Z Value -2.575829304

Standard Error of the Proportion 0.034641016 Standard Error of the Proportion 0.034641016

Confidence Interval Confidence Interval

Interval Lower Limit 0.532104856 Interval Lower Limit 0.510770655

Interval Upper Limit 0.667895144 Interval Upper Limit 0.689229345

Sample Size Determination Sample Size Determination

Data Data

Estimate of True Proportion 0.4 Estimate of True Proportion 0.4

Sampling Error 0.05 Sampling Error 0.05



Z Value -1.95996398 Z Value -2.575829304

Calculated Sample Size 368.7800468 Calculated Sample Size 636.9500737

Sample Size Determination Sample Size Determination

Data Data

Estimate of True Proportion 0.8 Estimate of True Proportion 0.8

Sampling Error 0.05 Sampling Error 0.05



Z Value -1.95996398 Z Value -2.575829304

Calculated Sample Size 245.8533645 Calculated Sample Size 424.6333825

51. A point estimate of the true proportion of claims that are paid by a health insurance company within 2 months of

receipt of the claim is ______.

A. 0.4 B. 0.6 C. 80 D. 120

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52. Which of the following is a 95% confidence interval for the true proportion of claims that are paid by a health insurance company within 2 months of receipt of the claim?

A. [0.3108, 0.4892] C. [0.5108, 0.6892]

B. [0.3321, 0.4679] D. [0.5321, 0.6679]

53. What can we assert with 95% confidence about the possible size of our error e if we estimate the true proportion of claims that are paid by a health insurance company within 2 months of receipt of the claim to be the point estimate given in number 51?

A. 0.0679 B. 0.0892 C. 0.1358 D. 0.1785

54. Suppose 90% or more claims are supposed to be paid within 2 months of their receipt, otherwise the auditor will report to the state insurance department the poor payment performance of the health insurance company. Based on the constructed confidence interval above, which of the following is(are) TRUE?

A. The health insurance company pays majority of claims within 2 months of receipt of the claim.

B. The auditor should report the poor payment performance of this company.

C. Both A and B

D. Neither A nor B

55. How large a sample is needed if we wish to be 99% confident that our estimate will be within 0.05 of the true proportion of claims that are paid by a health insurance company within 2 months of receipt of the claim?

A. 246 B. 369 C. 425 D. 637 For numbers 56 to 57, consider the following graph:

Percentage Distribution of Households by Type of Fuel Used for Cooking, Philippines 2000

Source: NSO, 2000 Census of Population and Housing

56. In the 1990, more than 50% of all households in the Philippines used ______ for cooking? A. LPG B. Wood C. Kerosene D. Charcoa

57. From 1990 to 2000, the use of _______ for cooking increased. A. LPG B. Wood C. Kerosene D. Charcoal

For numbers 58 to 60, consider the following problem:

A survey was conducted among students from a university and respondents were asked how many

times they log in to the social network Facebook. Seventeen of the respondents had the following

answers.

7 7 7 7 7 5 7 7 5 6 5 7 4 7 7 7 6

58. What is the mean number of log-ins per week? D. 108 B. 17 C. 7.35 D. 6.35

59. What is the range? A. 4 B. 3 C. 6 D. 7

60. What can we say about the Median and/or the Mode? A. The median is greater than the mode. B. The mode is greater than the median. C. They are equal D. The mode does not exist.

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For numbers 61 to 64, consider the following problem: The following table provides the summary statistics for the yearly salaries (in dollars, by Job Code) of

an airline company:

Job Code Minimum Maximum Mean Median

Standard Deviation

FLTAT1 21000 30000 25642.86 25500 2951.066114

FLTAT2 32000 38000 35111.11 35000 1906.301898

FLTAT3 41000 48000 44250 44000 2301.185465

PILOT1 65000 73000 69500 70000 2976.095237

PILOT2 75000 86000 80111.11 81000 3756.47589

PILOT3 92000 112000 99875 97500 7623.975341

61. If the company has an even number of PILOT3 employees, which of the following is FALSE about the median of PILOT3? A. Half of the PILOT3 employees have a salary less than 97500. B. One of the PILOT3 employees has a salary equal to the median. C. 97500 is the 50th percentile among PILOT3 salaries. D. None of the PILOT3 employees has a salary equal to the median.

62. Which of the following values is the range of FLTAT3? A. 9000 B. 6000 C. 8000 D. 7000

63. Using the coefficient of variation, which job code has the most variable salaries? A. FLTAT1 B. FLTAT3 C. PILOT1 D. PILOT2

64. Which of the following job codes has negatively skewed salaries? A. FLTAT2 B. FLTAT3 C. PILOT1 D. PILOT3

For questions 65 to 67: In a survey of students, the following data were obtained on students’ first reason for application to the school for which they matriculated.

Enrollment Status Reason for Application

School Quality School Convenience

Male 420 390

Female 400 590

If a student is randomly chosen from this group,

65. What is the probability that a student’s first reason for application is school quality?

A. 90

41 B.

90

49 C.

20

9 D.

20

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66. What is the probability that a student is a female and her first reason for application is school

convenience?

A. 7

30 B.

2

9 C.

40

99 D.

59

180

67. Given that the student is a female, what is the probability that her first reason for application is

school convenience?

A. 89

39 B.

89

38 C.

99

40 D.

99

59

68. One card is drawn from a standard 52 card deck, the card is returned. A second card is drawn. In describing the occurrence of two possible events, getting a King and getting a Queen, these two events are said to be

A. independent. C. random variables. B. mutually exclusive. D. conditionally dependent.

69. Which of the following numbers cannot be a probability?

A. 1 B. 0 C. 20% D. -0.000001

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70. When two dice are rolled, find the probability that the sum is 4.

A. 1/36 B. 1/12 C. 4/36 D. 0

71. Compute the expected value of the following probability distribution:

X=x 0 1 2 3

P(x=x)

A. 5/2 B. 2 C. 3/2 D. 0

72. In a gambling game, a man is paid $5 if he gets all heads or all tails when three coins are tossed,

and he will pay out $3 if either one or two heads show. What is his expected gain?

A. 7/2 B. 3 C. -4 D. -1

73. Suppose the expected value of the following probability distribution is 83/15, find the missing value

of the random variable X.

X=x 2 3 5 ? 10

P(X=x)

A. 6 B. 8 C. 9 D. 7

74. Let X represent the sum of the faces when two dice are rolled. Compute the expected value of the

random variable X.

A. 5 B. 6 C. 7 D. 8

75. Which of the following is NOT true about the standard normal probability distribution?

A. The mean is equal to 1.

B. The distribution is symmetric with respect to the mean.

C. The variance is equal to 1.

D. The standard deviation is equal to 1.\

For numbers 76 to 79, consider the following problem and the PHStat2 outputs that follow: The burning times of candles produced by the Flasho Candle Company are found to be normally distributed with a mean time of 92 minutes and a standard deviation of 23 minutes. (Round off to four decimal places)

Probability for X <=

X Value 120

Z Value 1.2173913

P(X<=120) 0.8882723

Probability for X <=

X Value 60

Z Value -1.391304

P(X<=60) 0.0820666



Z Value 1.475791



Z Value -1.475791

76. Find the probability that a single candle chosen at random from this population will burn less than 60 minutes. A. 0.0821 B. 0. 9179 C. 0. 8883 D. 0.1117

77. Find the probability that a single candle chosen at random from this population will burn over

120 minutes.

A. 0.0821 B. 0. 9179 C. 0. 8883 D. 0.1117

78. Find the probability that a single candle chosen at random from this population will burn

between 60 and 120 minutes.

A. 0.1117 B. 0.8062 C. 0.8883 D. 0.1938

79. Above what value do we get the longest 7% of burning times of the candles?

A. -1.4758 B. 1.4758 C. 58.0566 D. 125.943

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For numbers 80 to 83, consider the following problem and the PHStat2 outputs that follow:

Filipinos have varying opinions about the state of the nation. A recent survey of 100 adult Filipinos was conducted. In response to the question, “Is the Philippines going through a period of good times or bad times right now?”, 65 of them answered “good times”. Confidence Interval Estimate for the Prop

Data

Sample Size 100

Number of Successes 65

Confidence Level 99%

Intermediate Calculations

Sample Proportion 0.65

Z Value -2.5758293

Standard Error of the Proportion 0.04769696

Interval Half Width 0.122859227

Confidence Interval

Interval Lower Limit 0.527140773

Interval Upper Limit 0.772859227

Confidence Interval Estimate for the Prop

Data

Sample Size 100


Confidence Level 95%



Z Value -1.95996398

Standard Error of the Proportion 0.04769696

Interval Half Width 0.093484324

Confidence Interval

Interval Lower Limit 0.556515676

Interval Upper Limit 0.743484324

80. What is the population of interest?

A. All Filipino adults. B. All Filipino adults who answered “good times”. C. All Filipino adults who answered “bad times”. D. All Filipino adults who answered the survey.

81. The point estimate for the proportion of Filipinos who think that the Philippines is going through a period of bad times is A. 0.65 B. 0.56 C. 0.74 D. 0.35

82. Which of the following is the 95% confidence interval for the true proportion of adult

Filipinos who think that the Philippines is going through a period of good times? A. [0.5271, 0.7729] C. [0.2964, 0.9036] B. [0.1452, 0.6548] D. [0.5565, 0.7435]

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83. Based on the constructed 95% confidence interval , which of the following is(are) valid conclusions? A. The proportion of adult Filipinos who think that the Philippines is going through a period

of good times is greater than 50%. B. Only a minority of adult Filipinos think that the Philippines is going through a period of

good times. C. Both A and B D. Neither A nor B

For numbers 84 to 88, consider the following problem, and the PHStat2 outputs that follow:

Ten years ago, tax officials in a certain municipality hired a consulting firm to assess the value of every house. The firm found that 65% of the houses were undervalued. Test at a 0.05 level of significance if this percentage has changed if 95 out of a sample of 150 houses assessed are found to be undervalued.

50. he appropriate null and alternative hypotheses for the problem are

A. 65.:

65.:

1

0

PH

PH C.

65.:

65.:

1

0

PH

PH

B. 65.:

65.:

1

0

PH

PH D.

65.:

65.:

1

0

PH

PH

84. Which of the following is an example of a Type I error? A. We conclude that the percentage of houses that are undervalued has changed, when it

has indeed changed. B. We conclude that the percentage of houses that are undervalued has changed, when in

fact it has not changed. C. We conclude that the percentage of houses that are undervalued has not changed,

when it has changed. D. We conclude that the percentage of houses that are undervalued has not changed,

when in fact it has not changed.

85. The sample proportion of houses that are undervalued is A. 0.9500 B. 0.6333 C. 0.6587 D. 0.3321

86. The p-value of the appropriate test for this problem is

A. 0.6687 B. 0.3343 C. 0.4219 D. 1.9600

Z Test of Hypothesis for the Proportion

Data

Null Hypothesis p= 0.65

Level of Significance 0.05


Sample Size 150



Standard Error 0.038944405

Z Test Statistic -0.427960493

Lower-Tail Test

Lower Critical Value -1.644853627

p-Value 0.334339942

Z Test of Hypothesis for the Proportion

Data

Null Hypothesis p= 0.65

Level of Significance 0.05


Sample Size 150



Standard Error 0.038944405

Z Test Statistic -0.427960493

Two-Tailed Test

Lower Critical Value -1.959963985

Upper Critical value 1.959963985

p-Value 0.668679884

14

87. At a 0.05 level of significance, what is the decision after performing the test of hypothesis? A. Reject the null hypothesis. B. Do not reject the null hypothesis. C. It cannot be determined. D. The test has to be repeated.

88. If the test led to the non-rejection of H0, at =5%, which of the following is(are) valid conclusion(s)? A. The percentage of houses that are undervalued is not significantly different from 0.65. B. The houses are not undervalued. C. Both A and B. D. Neither A nor B

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STATLIT SAMPLE FINAL EXAM - FCAMPENA€¦ · 1 STATLIT SAMPLE FINAL EXAM MULTIPLE CHOICE: On the answer sheet provided, SHADE COMPLETELY the letter of the correct answer. If the correct