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 we wanted to test was H₁ : μ 1.6604. B) Reject H₀ if t 1.9842 or Z

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 we wanted to test was H₁ : μ < 60. State the correct rejection region for α = 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.

Quizplus · Accepted Answer

Since the alternative hypothesis is one-tailed (μ < 60), we need to use a one-tailed t-test with a significance level of α = 0.05. Since the sample size is greater than 30, we can use the t-distribution to test the hypothesis. The rejection region for a one-tailed test with α = 0.05 and 99 degrees of freedom is t < -1.6604 or t > 1.6604. Since the alternative hypothesis is μ < 60, we are interested in the left-tailed rejection region, which is t < -1.6604. Therefore, we reject H₀ if t < -1.6604. Therefore, the correct answer is B.

How Many Tissues Should the Kimberly Clark Corporation Package of Kleenex