Solve the problem.
-How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 61 tissues during a cold. Suppose a random sample of 10,000 people yielded the following data on the number of tissues used during a cold: $\bar { x } = 47 , s = 20$ . We want to test the alternative hypothesis $H _ { \mathrm { a } } : \mu < 61$ . State the correct rejection region for $\alpha = .05$ .

Question

Solve the problem.
-How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 61 tissues during a cold. Suppose a random sample of 10,000 people yielded the following data on the number of tissues used during a cold:

\bar { x } = 47 , s = 20

. We want to test the alternative hypothesis

H _ { \mathrm { a } } : \mu < 61

. State the correct rejection region for

\alpha = .05

.

Quizplus · Accepted Answer

Given the alternative hypothesis $H_a: \mu < 61$ and $\alpha = .05$, we are dealing with a left-tailed test. The critical value for $\alpha = .05$ in a left-tailed test is $-1.645$, which corresponds to the z-value below which 5% of the distribution lies. Therefore, we reject $H_0$ if $z < -1.645$.

Solve the Problem xˉ=47,s=20\bar { x } = 47 , s = 20xˉ=47,s=20

Solve the Problem $\bar { x } = 47 , s = 20$