Solve the problem.
-How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 68 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: $\bar { x } = 56 , s = 16$. Using the sample information provided, set up the calculation for the test statistic for the relevant hypothesis test, but do not simplify.
A) $z = \frac { 56 - 68 } { \frac { 16 } { \sqrt { 10,000 } } }$

B) $z = \frac { 56 - 68 } { \frac { 16 } { 10,000 ^ { 2 } } }$

C) $z = \frac { 56 - 68 } { 16 }$

D) $z = \frac { 56 - 68 } { \frac { 16 ^ { 2 } } { 10,000 } }$

Question

Solve the problem.
-How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 68 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: $\bar { x } = 56 , s = 16$. Using the sample information provided, set up the calculation for the test statistic for the relevant hypothesis test, but do not simplify.
A) $z = \frac { 56 - 68 } { \frac { 16 } { \sqrt { 10,000 } } }$

B) $z = \frac { 56 - 68 } { \frac { 16 } { 10,000 ^ { 2 } } }$

C) $z = \frac { 56 - 68 } { 16 }$

D) $z = \frac { 56 - 68 } { \frac { 16 ^ { 2 } } { 10,000 } }$

Quizplus · Accepted Answer

The correct test statistic formula for a hypothesis test concerning the mean is $z = \frac { \bar { x } - \mu } { \frac { s } { \sqrt { n } } }$, where $\bar { x }$ is the sample mean, $\mu$ is the population mean, $s$ is the sample standard deviation, and $n$ is the sample size. Substituting the given values ($\bar { x } = 56$, $\mu = 68$, $s = 16$, $n = 10,000$) into the formula gives the expression in choice A.

Solve the Problem xˉ=56,s=16\bar { x } = 56 , s = 16xˉ=56,s=16

Solve the Problem $\bar { x } = 56 , s = 16$