MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Do male and female servers work the same number of hours? A sample of 24 female servers worked an average of 40 hours per week, with a standard deviation of 4. A sample of 22 male servers worked an average of 28 hours per week, with a standard deviation of 3.

Construct a 80% confidence interval for the mean difference in hours worked for male and female servers. Assume that the populations are normal with unequal variances. Round your answers to three decimal places, and use four decimal places for any interim calculations.

*Hint:* Think about the formula for the confidence interval. How do we find \( t_{cv} \)? How do we find the standard error given that we are assuming unequal variances?

We are 80% confident that the interval \( ( \, \_ \_ \_ \_ \_ , \, \_ \_ \_ \_ \_ \, ) \) contains the true mean difference \( \mu_1 - \mu_2 \) in hours worked between male and female servers.
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Transcribed Image Text:**Transcription:** Do male and female servers work the same number of hours? A sample of 24 female servers worked an average of 40 hours per week, with a standard deviation of 4. A sample of 22 male servers worked an average of 28 hours per week, with a standard deviation of 3. Construct a 80% confidence interval for the mean difference in hours worked for male and female servers. Assume that the populations are normal with unequal variances. Round your answers to three decimal places, and use four decimal places for any interim calculations. *Hint:* Think about the formula for the confidence interval. How do we find \( t_{cv} \)? How do we find the standard error given that we are assuming unequal variances? We are 80% confident that the interval \( ( \, \_ \_ \_ \_ \_ , \, \_ \_ \_ \_ \_ \, ) \) contains the true mean difference \( \mu_1 - \mu_2 \) in hours worked between male and female servers.
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