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

Multiple Choice

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 $\alpha = .05$ .

A) Reject $H _ { 0 }$ if $z > 1.645$ .
B) Reject $H _ { 0 }$ if $z < - 1.96$ .
C) Reject $H _ { 0 }$ if $z < - 1.645$ .
D) Reject $H _ { 0 }$ if $z > 1.96$ or $z < - 1.96$ .