A statistics instructor gives two different tests to measure students' aptitude for statistics. Scores on the first test are normally distributed with a mean of 22 and a standard deviation of 5. Scores on the second test are normally distributed with a mean of 71 and a standard deviation of 10.3. Assume that the two tests use different scales to measure the same aptitude. If a student scores 28 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.). Round to two decimal places.

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A statistics instructor gives two different tests to measure students' aptitude for statistics. Scores
on the first test are normally distributed with a mean of 22 and a standard deviation of 5. Scores on
the second test are normally distributed with a mean of 71 and a standard deviation of 10.3.
Assume that the two tests use different scales to measure the same aptitude. If a student scores 28
on the first test, what would be his equivalent score on the second test? (That is, find the score that
would put him in the same percentile.).
Round to two decimal places.
Transcribed Image Text:A statistics instructor gives two different tests to measure students' aptitude for statistics. Scores on the first test are normally distributed with a mean of 22 and a standard deviation of 5. Scores on the second test are normally distributed with a mean of 71 and a standard deviation of 10.3. Assume that the two tests use different scales to measure the same aptitude. If a student scores 28 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.). Round to two decimal places.
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