Consultant a has 10 years of experience while

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samples of service ratings for two financial consultants are summarized below. Consultant A has 10 years of experience while consultant B has 1 year of experience. Using 5% level of significance, test to see whether the consultant with the more experience has the higher population mean service rating. Table 1 Consultant A Consultant B a. Formulate the appropriate null and alternative hypotheses. b. Compute the value of the test statistic. c. What is your conclusion? d. What can you say about the p-value? 15
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16 e. Construct a 95% confidence interval for the difference between the means of the two populations. What is your conclusion based on this confidence interval? f. In Table 1 make only the following changes: , and . Which test statistic would you compute, t or z? g. In Table 1 make only the following changes: , and . Compute the test statistic. What is your conclusion at the 5% level of significance? h. In Table 1 make only the following changes: , and . Construct a 95% confidence interval for the difference between the means of the two populations. 16
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Q2. To determine the effectiveness of a new weight control diet, ten randomly selected students observed the diet for 6 weeks with the results shown below. Dieter Weight Before Weight After A 138 135 B 151 147 C 129 132 D 125 127 E 168 155 F 139 131 G 152 144 H 140 142 I 137 137 J 180 180 a. Formulate the null and alternative hypotheses to see if this diet is effective. b. Find the mean and standard deviation of the differences. c. Compute the value of the test statistic. d. What is your conclusion at 5% level of significance? e. Construct a 95% confidence interval estimate for the average amount lost on this diet. Does your conclusion change based on this confidence interval? 17
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