Beth randomly chose 30 school days and timed her drive to school on those days. Ana randomly chose 35 school days and timed her drive on those days. The mean time it took Beth to drive to school was 15.6 minutes with a standard deviation of 4.2 minutes, and the mean time it took Ana to drive to school was 13.8 minutes with a standard deviation of 5.1 minutes. Use H0: μ − μA = 0 versus Ha: μB − μA > 0 to run an appropriate test, where μB is the true mean drive time to school for Beth, and μA is the true mean drive

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Beth randomly chose 30 school days and timed her drive to school on those days. Ana randomly chose 35 school days and timed her drive on those days. The mean time it took Beth to drive to school was 15.6 minutes with a standard deviation of 4.2 minutes, and the mean time it took Ana to drive to school was 13.8 minutes with a standard deviation of 5.1 minutes. Use H0μ − μA = 0 versus HaμB − μA > 0 to run an appropriate test, where μB is the true mean drive time to school for Beth, and μis the true mean drive time to school for Ana.

Which conclusion is the most appropriate at the α level?

Reject H0. There is sufficient evidence that Beth’s drive time is less than Ana’s.
Reject H0. There is sufficient evidence that Beth’s drive time is greater than Ana’s.
Fail to reject H0. There is sufficient evidence that Beth’s drive time is less than Ana’s.
Accept Ha. There is insufficient evidence to conclude that Beth’s drive time is greater than Ana’s.
Fail to reject H0. There is insufficient evidence to conclude that Beth’s drive time is greater than Ana’s.
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