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Chapter 2: Q 77. (page 142)

Is Michigan Normal? We collected data on the tuition charged by colleges and

universities in Michigan. Here are some numerical summaries for the data:

Based on the relationship between the mean, standard deviation, minimum, and maximum, is it reasonable to believe that the distribution of Michigan tuitions is approximately Normal? Explain your answer.

Short Answer

Expert verified

Not, it is not approximately normal.

Step by step solution

01

Given information

The numerical summaries are:

MeanSDMinMax
106148049187330823
02

Concept

The distance between the minimum and maximum values from the mean must be the same for the distribution to be normal.

03

Calculation

The highest and minimum value's distance from the mean can be computed as follows:

Distance=Maximumvalue鈭�Mean=30823-10614=20209

Similarly,

Distance=Minimumvalue鈭�Mean=10614-1873=8741

Because the distances are not equal. The presented distribution cannot be regarded to be nearly normally distributed.

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