In the book Business Research Methods, Donald R. Cooper and . William Emory (1995) discuss a manager who wishes to comparethe effectiveness of two methods for training new salespeople. The authors describe the situation as follows:The company selects 22 sales trainees who are randomly divided into two equal experimental groups-one receives type A and theother type B training. The salespeople are then assigned and managed without regard to the training they have received. At the year'send, the manager reviews the performances of salespeople in these groups and finds the following results:Average Weekly Sales.Standard DeviationHO: μA - μB ≤t=(a) Set up the null and alternative hypotheses needed to attempt to establish that type A training results in higher mean weekly salesthan does type B training.RejectDo not rejectDo not rejectDo not rejectVery strongA Group3.214X₁$1,352$1= 224Confidence interval [B GroupX2 = $1,000$2 = 286(b) Because different sales trainees are assigned to the two experimental groups, it is reasonable to believe that the two samples areindependent. Assuming that the normality assumption holds, and using the equal variances procedure, test the hypotheses you set upin part a at level of significance .10, .05, .01 and .001. How much evidence is there that type A training produces results that aresuperior to those of type B? (Round your answer to 3 decimal places.)0 Ha: μA - μB>0HO with a equal to 0.10.HO with a equal to 0.05HO with a equal to 0.01HO with a equal to 0.001evidence that µA - μ B > 0(c) Use the equal variances procedure to calculate a 95 percent confidence interval for the difference between the mean weekly salesobtained when type A training is used and the mean weekly sales obtained when type B training is used. Interpret this interval. (Roundyour answer to 2 decimal places.)

It is given that: For group A:x¯1 (sample mean)=1352s1 (sample standard deviation)=224For group…

In the book Business Research Methods, Donald R. Cooper and C. William Emory (1995) discuss a manager who wishes to compare the effectiveness of two methods for training new salespeople. The authors describe the situation as follows: The company selects 22 sales trainees who are randomly divided into two equal experimental groups-one receives type A and the other type B training. The salespeople are then assigned and managed without regard to the training they have received. At the year's end, the manager reviews the performances of salespeople in these groups and finds the following results: Average Weekly Sales. Standard Deviation HO: μA - μB s A Group $1,352 $1 224 (a) Set up the null and alternative hypotheses needed to attempt to establish that type A training results in higher mean weekly sales than does type B training. t= Reject Do not reject Do not reject Do not reject Very strong X₁ 3.214 B Group X2= $1,000 $2286 o Ha: μA-μB> (b) Because different sales trainees are assigned to the two experimental groups, it is reasonable to believe that the two samples are independent. Assuming that the normality assumption holds, and using the equal variances procedure, test the hypotheses you set up in part a at level of significance .10, .05, .01 and .001. How much evidence is there that type A training produces results that are superior to those of type B? (Round your answer to 3 decimal places.) 0 HO with a equal to 0.10. HO with a equal to 0.05 HO with a equal to 0.01 HO with a equal to 0.001 evidence that μA - μB> 0

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.5: Interpreting Data

Problem 1C