INTRODUCTION TO STATISTICS ECON1005 Academic Year 2014/2015, Semester I

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Graded Assignment #3

This assignment is to be prepared as a WORD document. It is based on your understanding of the subject matter cover in Unit 8. The deadline for uploading this Graded Assignment is 3:30pm EC Time on Monday November 10th, 2014. This assignment has an allocation of 4 marks. This is NOT a group assignment. It is expect that you will do your own work. Presentation of another person's work will be severely penalized.

Upload your submission to the appropriate drop box for grading by your etutor. Note that your assignment should be entitled: Your First Name Your Last Name ECON1005 Assignment #3. For example: Mary McDonald ECON1005 Assignment #3

Question 1 [10 marks] A sample of 40 sales receipts from a grocery store has x = $137 and s = $30.2. Assist the owner of the grocery store to these values to test, at the 5% level of significance, whether or not the mean sales at the grocery store is different from $150. (a) State the null and alternative hypotheses for the test. (b) Calculate the test statistics. (c) Determine the rejection region(s) for the test. (d) State the conclusion for the test giving reasons for your answer. Question 2 [10 marks] A study was conducted to investigate the association between the service at a famous restaurant and gender of the patrons. Randomly selected patrons were asked to indicate their level of satisfaction with the service at the restaurant. The data was inputted into MINITAB version 17 for analysis. See Exhibit 1 below.

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INTRODUCTION TO STATISTICS ECON1005 Academic Year 2014/2015, Semester I

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Exhibit 1 Chi-Square Test for Association: level of satisfaction, gender Rows: Level of Satisfaction Columns: Gender Male Female All Very Satisfied 38 72 110 42.31 67.69 0.4386 0.2741 Satisfied 33 57 90 34.62 55.38 0.0754 0.0471 Neutral 42 38 80 30.77 49.23 4.0992 2.5620 Dissatisfied 26 44 70 26.92 ? 0.0316 0.0198 Very Dissatisfied 11 29 40 15.38 24.62 1.2496 ?? All 150 240 390 Cell Contents: Count Expected count Contribution to Chi-square Pearson Chi-Square = 9.579, DF = ???, P-Value = 0.048 (a) State the null and alternative hypotheses for the test. (b) Determine the missing values ?, ?? and ???. (c) State the conclusion for the test giving reasons for your answer.

Total marks 20 [Graded out of 4]