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RES/342 ANSWERS Applications 4 – Final Examination (25 points) Name: Read this carefully : Type your name on the line above. This is an individual examination. You must answer the applications on this form. Non-use of the form will result in a deduction of ½ of the points for each exercise, not including any deductions that may be made based on your results. You must s how all formulas (by number or the exact formula) and calculations . Note there is a box in each test statistic part of the application. After you show your calculations, type only the test statistics value in the box provided . If you use Excel or any other software to calculate the test statistic, you must embed the spreadsheet/worksheet into the applications and not as an attachment. Complete the following applications: Part 1: 5 points Part 2: 5 points Part 3: 5 points Part 4: 5 points Part 5: 5 points

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1 . Hugger Polls contends that an agent conducts a mean of 53 in-depth home surveys every week. A streamlined survey form has been introduced, and Hugger wants to evaluate its effectiveness. The number of in-depth surveys conducted during a week by a random sample of agents are: 53 57 50 55 58 54 60 52 59 62 60 60 51 59 56 At the .05 level of significance, can we conclude that the mean number of interviews conducted by the agents is more than 53 per week? Use a standard deviation of 3.7378. If you use Excel, embed the spreadsheet/worksheet into this exercise. a. Set up the null hypothesis and alternative hypothesis. H 0 : µ < 53 H 1 : µ > 53 b. State the decision rule. Reject H 0 if t > 1.761 ( df = 14) c. Show calculations for the test statistic.
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