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Finding a test statictic and the rejection region

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How many Kleenex should the kimberly Clark Corporation package of tissues contain? Researchers determined that 60 tissues is the average 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: X-bar = 52, s = 22. Using the sample information provided, calculate the value of the test statistic.

a. t = -0.3636
b. t = -36.3636
c. t = -3636.3636
d. t = -3.6364

Suppose the alternative we wanted to test was H1: Mean < 60. State the correct rejection for a = 0.05.

a. Reject H0 if t > 1.6604
b. Reject H0 if t < -1.6604
c. Reject H0 if t > 1.9842 or Z < - 1.9842
d. Reject H0 if t < -1.9842

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This solution shows how to find the test statistic and the rejection region for a small sample hypothesis test about a population mean.

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