Hypothesis Testing and Confidence Intervals

Complete the following four hypotheses, using α = 0.05 for each. The week 5 spreadsheet can be used in these analyses.
 1. Mean sales per week exceed 42.5 per salesperson
 2. Proportion receiving online training is less than 55%
 3 Mean calls made among those with no training is at least 145
 4. Mean time per call is 14.7 minutes
• Using the same data set from part A, perform the hypothesis test for each speculation in order to see if there is evidence to support the manager’s

belief. Use the Eight Steps of a Test of Hypothesis from Section 9.1 of your text book as a guide. You can use either the p-value or the critical values to

draw conclusions. Be sure to explain your conclusion and interpret that to the claim in simple terms
• Compute 99% confidence intervals for the variables used in each hypothesis test, and interpret these intervals.
• Write a report about the results, distilling down the results in a way that would be understandable to someone who does not know statistics. Clear

explanations and interpretations are critical.
Format for report:
A. Summary Report (about one paragraph on each of the four speculations)
B. Appendix with the calculations of the Eight Elements of a Test of Hypothesis, the p-values, and the confidence intervals. Include the Excel formulas

or spreadsheet screen shots used in the calculations.

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