Project #45238 - Stats

 

SHOW WORK AT ALL TIMES

A consulting firm has devised a short course that is supposed to improve the writing skills of the employees of large companies. The Personnel Office of a corporation is considering buying the short course, but first they do a preliminary study. Two samples of employees are selected. The writing skills of the employees in the first sample are measured in a scale of 1 to 100, where high scores indicate good writing skills. The other employees in the second sample take the short course and their writing skills are measured in the same scale, after completion of the course. Here are the sample results:

WITHOUT COURSE: 65, 60, 58, 70, 55, 72, 68, 75, 70, and 61 WITH COURSE: 71, 72, 69, 79, 55, 82, 70, 78, 74, and 71

a). At 5% level of significance, is there evidence of improvement in the average writing skills of employees? Your conclusion must be in terms of the P-Value. Show all necessary work.
b). If the short course required a substantial monetary investment, What should the Personnel Office and management be concerned about regarding the conclusion reached in part (a)? Explain Carefully.

c). Construct a 95% confidence interval for the difference in the actual average writing skills between the two groups of employees. Using this interval estimation, is there evidence of improvement in the average writing skills of employees? Explain Carefully. d). Interpret this interval estimation.

e). Explain the sampling design in this problem. Can you propose another type of sampling design (if any) that could be used to perform the analysis of parts (a) and (c)? Give one advantage and one disadvantage of the design you are proposing. Explain carefully. 

Subject Mathematics
Due By (Pacific Time) 10/28/2014 08:45 am
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