Problem 1

By measuring the amount of time it takes a component of a product to move from one workstation to the next, an engineer has estimated that the standard deviation is 10 sec.How many measurements should be made in order to be 95% certain that the maximum error of estimation will not exceed 4 sec?

Problem 2

John and Mark participate in a game of bowling every week. From past experience, it is known that both scores are normally distributed, where John has a mean score of 145 with a standard deviation of 25, and Mark has a mean score of 160 with a standard deviation of 14. Assuming that their scores are independent, what is the probability that John will have a greater score than Mark in a single game?

Problem 3

Employees in a large accounting firm claim that the mean salary of the firm's accountants is less than that of its competitor's which is $75,000. A random sample of 30 of the firm's accountants has a mean salary of $73,500 with a standard deviation of $5,200.Suppose you want to test the employee's claim.Explain how you can verify the conditions for SDSM and formulate Ho and Ha.

Problem 4

With reference to problem 3 above, compute a sample statistic.

Problem 5

With reference to problem 3 above, compute the p-value and state your conclusion in the context of the problem.