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

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In the book Business Research Methods, Donald R. Cooper and . 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 ≤
t=
(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.
Reject
Do not reject
Do not reject
Do not reject
Very strong
A Group
3.214
X₁
$1,352
$1= 224
Confidence interval [
B Group
X2 = $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 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 Ha: μA - μB>
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 - μ B > 0
(c) Use the equal variances procedure to calculate a 95 percent confidence interval for the difference between the mean weekly sales
obtained when type A training is used and the mean weekly sales obtained when type B training is used. Interpret this interval. (Round
your answer to 2 decimal places.)
Transcribed Image Text:In the book Business Research Methods, Donald R. Cooper and . 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 ≤ t= (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. Reject Do not reject Do not reject Do not reject Very strong A Group 3.214 X₁ $1,352 $1= 224 Confidence interval [ B Group X2 = $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 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 Ha: μA - μB> 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 - μ B > 0 (c) Use the equal variances procedure to calculate a 95 percent confidence interval for the difference between the mean weekly sales obtained when type A training is used and the mean weekly sales obtained when type B training is used. Interpret this interval. (Round your answer to 2 decimal places.)
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