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A company wanted to know if attending a course on "how to be a successful salesperson" can increase the average sales of its employees. The company sent six randomly selected salespersons to attend this course. The following table gives the 1 week sales of these salespersons before and after they attended the course. Calculate the difference (d)and find d. Using a 5% level of significance can you conclude that the mean weekly sales for all salespersons increase as a result of attending this course? Assume that the population of paired differences has a normal distribution. Fill in table below to find the differences. Salesperson Sales Before attending course (1) Sales After attending course (A) d=(A-B) H₂H 0 a: 0.10 8. H₂: ₂ = H₂ H₂: H₂> H₂ a: 0.01 CH₂ d=0 H₂: do a: 0.01 (2) M₂: #<* Left-tailed b) What distribution will you use for this test? c) Is this a right-tail, left-tail, or two-tail test? d) Which of the following curves represents this test? Area-Fail to rejec Reject region region 1 Critical re 14 17 (b) th: ** Right-ad a) State the null and alternate hypothesis and alpha. Indicate whether the test is two tail, right tail, or left tail. A. H: HO 2 Fail to reject region 18 24 Aa-a Reject region 3 Cicalin 26 23 40 5 9 14 16 19 D. Ho: 0 H₁: Ha *0 a: 0.01 E. H: ₁ H₂ H₂: My <H₂ a: 0.01 F. Ho: H0 H₂: Ha>0 a: 0.05 Area-2 Reject region (c) H₂k Two-talled Fall to reject region 6 Cras jons- 14 18: -a/2 Reject region e) Using the critical region method, what is the critical value(s) that separates the reject from the fail to reject regions f) Calculate d, the mean difference for this sample (2 decimal places): 8) Calculate the test statistic for the sample using your calculated average difference (d) and 5 - 3.559 and locate on the chosen sketch. (show your formula and work to 2 decimal places) h) Using the critical region method, based on your calculation in the previous question do you reject or fail to reject the null hypothesis? Interpret your conclusion in context of the problem: At % level of significance, (reject or fail to reject). the null hypothesis. There is (sufficient or insufficient). evidence to claim that the mean weekly sales increased after attending the course. A company wanted to know if attending a course on "how to be a successful salesperson" can increase the average sales of its employees. The company sent six randomly selected salespersons to attend this course. The following table gives the 1 week sales of these salespersons before and after they attended the course. Calculate the difference (d)and find d. Using a 5% level of significance can you conclude that the mean weekly sales for all salespersons increase as a result of attending this course? Assume that the population of paired differences has a normal distribution. Fill in table below to find the differences. Salesperson Sales Before attending course (1) Sales After attending course (A) d=(A-B) H₂H 0 a: 0.10 8. H₂: ₂ = H₂ H₂: H₂> H₂ a: 0.01 CH₂ d=0 H₂: do a: 0.01 (2) M₂: #<* Left-tailed b) What distribution will you use for this test? c) Is this a right-tail, left-tail, or two-tail test? d) Which of the following curves represents this test? Area-Fail to rejec Reject region region 1 Critical re 14 17 (b) th: ** Right-ad a) State the null and alternate hypothesis and alpha. Indicate whether the test is two tail, right tail, or left tail. A. H: HO 2 Fail to reject region 18 24 Aa-a Reject region 3 Cicalin 26 23 40 5 9 14 16 19 D. Ho: 0 H₁: Ha *0 a: 0.01 E. H: ₁ H₂ H₂: My <H₂ a: 0.01 F. Ho: H0 H₂: Ha>0 a: 0.05 Area-2 Reject region (c) H₂k Two-talled Fall to reject region 6 Cras jons- 14 18: -a/2 Reject region e) Using the critical region method, what is the critical value(s) that separates the reject from the fail to reject regions f) Calculate d, the mean difference for this sample (2 decimal places): 8) Calculate the test statistic for the sample using your calculated average difference (d) and 5 - 3.559 and locate on the chosen sketch. (show your formula and work to 2 decimal places) h) Using the critical region method, based on your calculation in the previous question do you reject or fail to reject the null hypothesis? Interpret your conclusion in context of the problem: At % level of significance, (reject or fail to reject). the null hypothesis. There is (sufficient or insufficient). evidence to claim that the mean weekly sales increased after attending the course.
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The uploaded images show a statistics problem about hypothesis testing for paired samples The scenario involves a company sending six salespersons to ... View the full answer
Related Book For
Management A Practical Introduction
ISBN: 978-0078112713
5th edition
Authors: Angelo Kinicki, Brian Williams
Posted Date:
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