valtricotinevh
2022-07-22
Answered

The commute time for Cypress College students who drive from their home to the college follows a normal distribution with a mean of 26 minutes and a standard deviation of 8 minutes. If it takes a student 15 minutes to get to school, what would the percentile ranking for this student's commute time be?

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palatinizi

Answered 2022-07-23
Author has **3** answers

Here, $\mu =26$ and $\sigma =8$.

The percentile ranking for the student's (who takes 15 minutes to get to school) the commute time be,

$z=\frac{x-\mu}{\sigma}\phantom{\rule{0ex}{0ex}}=\frac{15-26}{8}\phantom{\rule{0ex}{0ex}}=-1.375$

Using Excel formula “=NORM.S.DIST(-1.375,TRUE)”, the percentile ranking for the student’s commute time be obtained as 0.08.

The percentile ranking for the student's (who takes 15 minutes to get to school) the commute time be,

$z=\frac{x-\mu}{\sigma}\phantom{\rule{0ex}{0ex}}=\frac{15-26}{8}\phantom{\rule{0ex}{0ex}}=-1.375$

Using Excel formula “=NORM.S.DIST(-1.375,TRUE)”, the percentile ranking for the student’s commute time be obtained as 0.08.

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