Provide an appropriate response.
-The amount of time it takes a student to walk from her home to class has a skewed right distribution with a mean of 17 minutes and a standard deviation of $1.2$ minutes. If data were collected from 50 randomly selected walks, describe the sampling distribution of $\bar { x }$, the sample mean time.

Question

Quizplus · Accepted Answer

The Answer is By the Central Limit Theorem, the sampling distribution of

\bar { x }

is approximately normal with

\mu _ { x } ^ { - } = \mu = 17

minutes and

\sigma _ { x } ^ { - } = \frac { \sigma } { \sqrt { n } } = \frac { 1.2 } { \sqrt { 50 } } = 0.1697

minutes.

Provide an Appropriate Response 1.21.21.2 Minutes If Data Were Collected from 50 Randomly Selected Walks

Provide an Appropriate Response $1.2$ Minutes If Data Were Collected from 50 Randomly Selected Walks