Satisfied workers The managers of a large company wished to know the percentage of

Chapter 11, Problem 38

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Satisfied workers The managers of a large company wished to know the percentage of employees who feel extremely satisfied to work there. The company has roughly 24,000 employees. They contacted a random sample of employees and asked them about their job satisfaction, obtaining 437 completed responses. a) The companys annual report states, Our survey shows that 87.34% of our employees are very happy working here. Comment on that claim. Use appropriate statistics terminology. b) One manager suggested surveying employees by assigning computer-generated random numbers to each employee on a list of all employees and then contacting all those whose assigned random number is divisible by 7. Is this a simple random sample? c) For each scenario suggested by a different manager, determine the sampling method. i. Use the company e-mail directory to contact 150 employees from among those employed for less than 5 years, 150 from among those employed for 510 years, and 150 from among those employed for more than 10 years. ii. Use the company e-mail directory to contact every 50th employee on the list. iii. Select several divisions of the company at random. Within each division, draw an SRS of employees to contact. d) One manager suggested having the head of each corporate division hold a meeting of their employees to ask whether they are happy on their jobs. They will ask people to raise their hands to indicate whether they are happy. What problems do you see with this plan? e) For each of these designs proposed by a different manager, identify the problem with the method and the effect it would have on the estimate of the percentage of employees who feel extremely satisfied to work there. i. Leave a stack of surveys out in the employee cafeteria so people can pick them up and return them. ii. Stuff a questionnaire in the mailbox of each employee with the request that they fill it out and return it.