Unit OneTest Review

Question One

Scores on the math section of the SAT are normally distributed with a mean of 650 and a standard deviation of 50. What percentage of the math scores are between 500 - 800?

99.7%

Question Two

Weight is normally distributed with a mean of 100 lbs and a standard deviation of 15. What percentage of people fall between 70 - 100?

47.75%

Question Three

Scores on the Social Studies section of the GHSGT are normally distributed with a mean of 210 and a standard deviation of 20. What is the percent of social studies scores that fall between 190 - 270?

84%

Question Four

Soccer goals by year are normally distributed with a mean of 55 and a standard deviation of 3. Find the z-score for 50.

-1.67

Question Five

Juan’s grades are normally distributed with a mean of 78 with a standard deviation of 5. What is the z-score for 85?

1.40

Question Six

The temperatures for September are normally distributed with a mean of 94º and standard deviation of 2º. What is the z-score for 91º?

-1.50

Question Seven

Snowfall in January is normally distributed with a mean of 4.5” and a standard deviation of .5”. What percent of the data is below 5.1”?

88.49%

Question Eight

Love Poems in Mr. Kirkpatrick’s mailbox average 7 per day with a standard deviation of 2. What percent of the data is more than 9?

15.87%

Question Nine

Find the percent that gives the following z-score: 1.57

94.18%

Question Ten

Find the percent that gives the following z-score: -.42

33.72%

Question Eleven

Find the z-score that is closest to having the exact percentage of 56%

.15

Question Twelve

Find the z-score that is closest to having the exact percentage of 21%

-.81

Question Thirteen

What are the two z-scores that contain middle 30% of the data?

-.39, .39

Question Fourteen

What are the two z-scores that contain middle 80% of the data?

-1.28, 1.28

Question Fifteen

Gas mileage for a Toyota Prius is 44 mpg with a standard deviation of 3. The middle 60% of these cars have a mileage between _____ and _____.

41.5, 46.5

Question Sixteen

Gas mileage for a Toyota Tacoma is 21 mpg with a standard deviation of 2. The middle 64% of these cars have a mileage between _____ and _____.

19.2, 22.8

Question Seventeen

A sample of 64 juniors at Southeast have an average IQ of 76 with a standard deviation of 4. Construct a 95% Confidence level for mean IQ.

75.02, 76.98

Question Eighteen

A sample of 30 freshmen at Southeast have an average IQ of 50 with a standard deviation of 3. Construct a 99% Confidence level for mean IQ.

48.59, 51.41

Question Nineteen

A recent study was conducted at Southeast High School to examine who was the most loved teacher. Of the 30 students polled, 60% selected Mr. Kirkpatrick. Construct a 95% Confidence Interval for the population percentage for Mr. Kirkpatrick.

42.6%, 77.4%

Question Twenty

A recent study was conducted at Southeast High School to examine who was the most hated teacher. Of the 50 students polled, 85% selected Mr. Appelman. Construct a 99% Confidence Interval for the population percentage for Mr. Appelman.

72.1%, 97.9%