Suppose we're interested in determining whether, on av- erage, women and men are paid the same wage. To do this, we collect a sample of 100 women and 64 men. From the sample of women, we compute an average wage of $8.00/hour and a standard deviation of $.20/hour. From the sample of men, we compute an average wage of $9.00/hour with a standard deviation of $.30/hour. Are men paid more than women on average?

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Please assist this problem involving hypothesis testing.
HYPOTHIESIS TESTING
A WORKED EXAMPLE: TWO-SAMPLE TEST
Example: Gender pay gap
Suppose we're interested in determining whether, on av-
erage, women and men are paid the same wage. To do
this, we collect a sample of 100 women and 64 men.
From the sample of women, we compute an average wage
of $8.00/hour and a standard deviation of $.20/hour.
From the sample of men, we compute an average wage of
$9.00/hour with a standard deviation of $.30/hour.
Are men paid more than women on average?
Transcribed Image Text:HYPOTHIESIS TESTING A WORKED EXAMPLE: TWO-SAMPLE TEST Example: Gender pay gap Suppose we're interested in determining whether, on av- erage, women and men are paid the same wage. To do this, we collect a sample of 100 women and 64 men. From the sample of women, we compute an average wage of $8.00/hour and a standard deviation of $.20/hour. From the sample of men, we compute an average wage of $9.00/hour with a standard deviation of $.30/hour. Are men paid more than women on average?
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