How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 40 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: $\bar { x } = 31 , s = 18$ using the sample information provided, set up the calculation for the test statistic for the relevant hypothesis test, but do not simplify.

A) $z = \frac { 31 - 40 } { \frac { 18 } { \sqrt { 10,000 } } }$

B) $z = \frac { 31 - 40 } { \frac { 18 } { 10,000 ^ { 2 } } }$

C) $z = \frac { 31 - 40 } { 18 }$

D) $z = \frac { 31 - 40 } { \frac { 18 ^ { 2 } } { 10,000 } }$

Question

How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 40 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 } = 31 , s = 18

using the sample information provided, set up the calculation for the test statistic for the relevant hypothesis test, but do not simplify.

A) $z = \frac { 31 - 40 } { \frac { 18 } { \sqrt { 10,000 } } }$

B) $z = \frac { 31 - 40 } { \frac { 18 } { 10,000 ^ { 2 } } }$

C) $z = \frac { 31 - 40 } { 18 }$

D) $z = \frac { 31 - 40 } { \frac { 18 ^ { 2 } } { 10,000 } }$

Quizplus · Accepted Answer

The correct formula for the test statistic is:$z = \frac { \bar { x } - \mu } { \frac { s } { \sqrt { n } } }$where:$\bar { x }$ is the sample mean$\mu$ is the hypothesized population means is the sample standard deviationn is the sample sizeIn this case, we have:$\bar { x } = 31$$\mu = 40$s = 18n = 10,000So, the test statistic is:$z = \frac { 31 - 40 } { \frac { 18 } { \sqrt { 10,000 } } }$

How Many Tissues Should a Package of Tissues Contain? Researchers xˉ=31,s=18\bar { x } = 31 , s = 18xˉ=31,s=18

How Many Tissues Should a Package of Tissues Contain? Researchers $\bar { x } = 31 , s = 18$