a) You are the manager of Hungry Lion. You want to determine whether the mean

waiting time to place an order has changed in the past month from its previous

mean value of 4.5 minutes. Assuming that the population is normally distributed,

with a population standard deviation of 1.2 minutes. You select a sample of 25

orders during a one-hour period with a sample mean of 5.1 minutes. Test this at

0.05 level of significance.

b) The manufacturers of chicco biscuits are particularly concerned that the mean

weight of a chicco biscuits is not greater than 6.03 grams. A sample of 50 chicco

biscuits is selected; the sample mean is 6.034 grams, and the sample standard

deviation is 0.02 grams. Using =0.01 level of significance, is there evidence that

the population mean weight of the chicco biscuits is greater than 6.03 grams?

c) KFC has developed a new process to ensure that orders at the drive-through are

filled correctly. The business problem is defined as determining whether the new

process can increase the percentage of orders processed correctly. The previous

process filled orders correctly 85% of the time. Data are collected from a sample

of 100 orders using the new process. The results indicate that 94 orders were filled

correctly. At the 0.01 level of significance, can you conclude that the new process

has increased the proportion of orders filled correctly?