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We collected data on the tuition charged by colleges and universities in Michigan. Here are some numerical summaries for
the data:
Mean SD Min Max
10,614 8049 1873 30,823
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

We collected data on the tuition charged by colleges and universities in Michigan Here are some numerical summaries for the data Mean SD Min Max 10614 8049 1873 class=

Respuesta :

Using the Empirical Rule, it is found that the correct option is:

No, because the minimum is too close to the mean.

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  • The Empirical Rule states that, in a normal distribution, 68% of the measures are within 1 standard deviation of the mean, 95% are within 2 and 99.7% are within 3.

In this problem:

  • The mean is of $10,614.
  • The standard deviation is of $8,049.
  • The minimum is of $1,873.
  • The maximum is of $30,823.

The lower bound of the 95% within 2 standard deviation of the mean is:

10614 - 2(8049) = -$5,484.

Which is a negative number considerably lower than the minimum, which indicates that the minimum is too close to the mean, and the distribution is not normal.

A similar problem is given at https://brainly.com/question/15872420

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