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: $\bar { X } = 52$ , S = 22.Suppose the alternative you wanted to test was H1 : $\mu$ $\lt$ 60 .State the correct rejection region for $\alpha$ = 0.05.

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: $\bar { X } = 52$ , S = 22.Suppose the alternative you wanted to test was H1 : $\mu$ $\lt$ 60 .State the correct rejection region for $\alpha$= 0.05. A)$\text { Reject } H _ { 0 } \text { if } t > 1.6604$ B)$\text { Reject } H _ { 0 } \text { if } t < - 1.6604 \text {. }$ C)$\text { Reject } H _ { 0 } \text { if } t > 1.9842 \text { or } Z < - 1.9842$ D)$\text { Reject } H _ { 0 } \text { if } t < - 1.9842$

Quizplus · Accepted Answer

Given the alternative hypothesis $H_1: \mu < 60$, we are dealing with a left-tailed test. The correct rejection region for a left-tailed test with $\alpha = 0.05$ and a large sample size (n=100) is $t < -1.6604$, which corresponds to the critical value for a one-tailed test at the 5% significance level.

How Many Tissues Should the Kimberly Clark Corporation Package of Kleenex