Question

How many tissues should the Kimberly Clark Corporation package of Kleenex 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: = 52, S = 22. Suppose the alternative you wanted to test was H1 : μ < 60. State the correct rejection region for α = 0.05. a. Reject H0 if t > 1.9842 or Z < -1.9842. b. Reject H0 if t < -1.9842. c. Reject H0 if t > 1.6604. d. Reject H0 if t < -1.6604.

Answer 1

d. Reject H0 if t < -1.6604

Explanation:

This is a hypothesis test for the population mean.

The claim is that the mean number of tissues used during a cold is significantly less than 60.

Then, the null and alternative hypothesis are:

`H_0: \mu=60\\\\H_a:\mu< 60`

The significance level is 0.05.

The critical value for a level of significance is α=0.05, a left-tailed test and 99 degrees of freedom is tc=-1.6604.

The decision rule is that if the test statistic is below tc=-1.6604, the null hypothesis is rejected.