Question: Management at the Kimberly Clark Corporation need to determine how many tissues a package of Kleenex should contain. Researchers determined that 60 tissues is the mean number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: \[\overline{X}\] = 52, S = 22.

1. Give the null and alternative hypotheses to determine if the number of tissues used during a cold is less than 60.
2. Using the sample information provided, calculate the value of the test statistic. Show your work.
3. Suppose the alternative we wanted to test was H 1 : μ < 60. State the correct rejection region for α = 0.05.
4. Suppose the test statistic does fall in the rejection region at α = 0.05. Which of the following conclusions is correct? Justify your choice.
   1. At α = 0.05, there is not sufficient evidence to conclude that the average number of tissues used during a cold is 60 tissues.
   2. At α = 0.05, there is sufficient evidence to conclude that the average number of tissues used during a cold is 60 tissues.
   3. At α = 0.05, there is not sufficient evidence to conclude that the average number of tissues used during a cold is not 60 tissues.
   4. At α = 0.10, there is sufficient evidence to conclude that the average number of tissues used during a cold is not 60 tissues.

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