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: x̄ = 52,S = 22.Suppose the test statistic does fall in the rejection region at α = 0.05.Which of the following decision is correct? A)^At^{α= 0.05,you do not reject}^H0^. B)^At^{α= 0.05,you reject}^H0^. C)^At^{α= 0.10,you do not reject}^H0^.

Question

Quizplus · Accepted Answer

We can use a one-sample t-test to determine if the mean number of tissues used during a cold using Kleenex is significantly different from the reported mean of 60 tissues.

The null and alternative hypotheses are:

H0: μ = 60 (the mean number of tissues used during a cold using Kleenex is 60)
Ha: μ ≠ 60 (the mean number of tissues used during a cold using Kleenex is not 60)

We are given a random sample of 100 Kleenex users, with x̄ = 52 and S = 22. The test statistic is:

t = (x̄ - μ) / (S / sqrt(n)) = (52 - 60) / (22 / sqrt(100)) = -3.64

At α = 0.05, with 99 degrees of freedom, the critical values for a two-tailed test are ±1.984. Since |-3.64| > 1.984, the test statistic falls in the rejection region and we can reject the null hypothesis.

Therefore, we can conclude that the mean number of tissues used during a cold using Kleenex is significantly different from 60. Choice B is the correct decision.

How Many Tissues Should the Kimberly Clark Corporation Package of Kleenex