Question

The average starting salary for graduates at a university is $25,000 with a standard deviation of $4,000. if a histogram of the data shows that it takes on a bell shape (normally distributed), the empirical rule says that approximately 68% of the graduates would have a starting salary between

Answer 1

The empirical rule says 68% of the distribution should fall within one standard deviation of the mean, so you should expect salaries between $\ 25000-\ 4000=\ 21000$ and $\ 25000+\ 4000=\ 29000$

Answer 2

The Empirical Rule says that approximately 68% of the graduates would have a starting salary between $21,000 and $29,000.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

• Approximately 68% of the measures are within 1 standard deviation of the mean.

• Approximately 95% of the measures are within 2 standard deviations of  the mean.

• Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, considering that 68% falls within 1 standard deviation of the mean, the lower and upper bound of the salaries are given by:

• $25,000 - $4,000 = $21,000.

• $25,000 + $4,000 = $29,000.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

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