ureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of randomly selected residents of certain county included 1250 who were over the age of 25, and 973 of them were high school graduates. (a) Find the mean and standard deviation for the total number of high school graduates in random groups of 1250 Americans who are over the age of 25. b. Is that county result of 973 unusual

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The Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of randomly selected residents of certain county included 1250 who were over the age of 25, and 973 of them were high school graduates.


(a) Find the mean and standard deviation for the total number of high school graduates in random groups of 1250 Americans who are over the age of 25.

b. Is that county result of 973 unusually high, or low, or neither?

Expert Solution
Step 1

a.

Given:

n=1250,p=0.82

The mean is computed as:

Statistics homework question answer, step 1, image 1

The variance is computed as:

Statistics homework question answer, step 1, image 2

The standard deviation is computed as:

Statistics homework question answer, step 1, image 3

Hence, the mean and standard deviation for the total number of high school graduates in random groups of 1250 Americans who are over the age of 25 is:

  • Mean = 1025
  • Standard deviation = 13.5831
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