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QUESTION 11 Math SAT Question 2 The scores of men on the math SAT follow a...

QUESTION 11
Math SAT Question 2

The scores of men on the math SAT follow a Normal distribution; so do those of women. Let µ1 (respectively, µ2) denote the average math SAT score of men (respectively, women).

A random sample of 20 men was selected. The average math SAT score of the men selected was 607.8 with a standard deviation of 48.76.

Another random sample of 23 women was selected (independently of the sample of men). The average math SAT score of the women selected was 542.71 with a standard deviation of 53.1.

Obtain a 94% confidence interval for µ1- µ2.
a. (34.8, 95.3)
b. (33.9, 96.2)
c. (35.0, 95.2)
d. (34.1, 96.4)
e. (35.3, 94.7)

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