Question: Question 3 (a) A study has been designed to estimate the mean number of hours per week worked by urban housewives. A pilot study estimated

Question 3 (a) A study has been designed to estimate the

Question 3 (a) A study has been designed to estimate the mean number of hours per week worked by urban housewives. A pilot study estimated the population standard deviation to be 3.7 hours. How large a sample should be selected to be 99% confident that the sample mean differs from the population mean by at most 0.5 hour? [3 marks] (b) In a random sample of 300 employees in a large multinational company, 204 said that they would like the company to adopt a flexible scheduling policy, which would permit employees to decide when and how much they should work. Construct a 90% confidence interval for the proportion of all employees who would like the company to adopt a flexible scheduling policy. [4 marks]

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