4) You plan to develop a new software system that you believe will surpass the success of Google and Facebook combined. In planning for the operating system that you will use, you need to estimate the percentage of computers that use Windows. How many computers must be surveyed in order to be 99% confident that your estimate is in error by no more than one percentage point?

(a) Assume that nothing is known about the percentage of computers with Windows operating systems.

(b) Assume that a recent survey suggests that about 90% of computers use Windows operating systems (based on data from Net Applications).

(c) Does the additional survey information from part (b) have much of an effect on the sample size that is required?

5) A bath soap manufacturing process is designed to produce a mean of 120 bars of soap per batch. A sample of 11 batches show the following numbers of bars of soap:

108, 118, 120, 122, 119, 113, 124, 122, 122, 120, 123 At the 1% level test if the production process meets the standard output of 120 bars per

batch. Use the critical value method.