Answer:
The estimated value for the population standard deviation is $3,750.
Step-by-step explanation:
The interval within which the annual starting salaries for college graduates with degrees in business administration are generally expected to be is $30,000 and $45,000.
The standard deviation is the measure of dispersion or spread. And so is the range of the data.
Both the measures are used to determine how spread out the data is from the mean.
The relationship between standard deviation and range is not defined but according to the rule of thumb the standard deviation is one-fourth of the range of the data.
The formula of range is:
Compute the range of the data of starting salaries of college graduates with degrees in business administration as follows:
The range of the data is, $15,000.
Compute the estimated value of the standard deviation as follows:
Thus, the estimated value for the population standard deviation is $3,750.
For a better understanding of the problem I've built up two triangles from the given triangular shape. So these two triangles are similar. Therefore, we can solve this problem by using ratios and corresponding sides in this way:
But our goal is to find y. Let's call w the height of the small triangle, then:
Applying the concept of ratios again:
Right triangle: brainly.com/question/10684799
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