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Elementary Statistics: Picturing the World | 6th Edition | ISBN: 9780321911216 | Authors: Ron Larson; Betsy Farber
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Independent and Dependent Random Variables Two random

Chapter 4, Problem 42EC

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QUESTION:

In Exercises 41 and 42, the distribution of SAT scores for college-bound male seniors has a mean of 1512 and a standard deviation of 322. The distribution of SAT scores for college-bound female seniors has a mean of 1486 and a standard deviation of 311. One male and one female are randomly selected. Assume their scores are independent. (Source: The College Board)

What is the standard deviation of the difference of their scores?

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QUESTION:

In Exercises 41 and 42, the distribution of SAT scores for college-bound male seniors has a mean of 1512 and a standard deviation of 322. The distribution of SAT scores for college-bound female seniors has a mean of 1486 and a standard deviation of 311. One male and one female are randomly selected. Assume their scores are independent. (Source: The College Board)

What is the standard deviation of the difference of their scores?

ANSWER:

Solution:

Step 1 of 1:

Given, SAT scores for college-bound male seniors:

The mean of 1512 and a standard deviation of 322.

Here .

SAT scores for college-bound female seniors:

The mean of 1486 and a standard deviation of 311.

Here .

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