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 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 you 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 sample size of 100, the degrees of freedom (df) are 99. Using a t-distribution table with α = 0.05 and df = 99, the critical t-value is -1.6604. Therefore, we reject the null hypothesis if our calculated t-value is less than -1.6604. This means our rejection region is t < -1.6604. Thus, the correct answer is B.

How Many Tissues Should the Kimberly Clark Corporation Package of Kleenex