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A Gallup poll estimates that the average American gets 6.8 hours of sleep each night. From our class survey, our sample of 152 of respondents has mean of sleep of 7.41 hours of sleep each night with a standard deviation of 1.18 hours. Test the hypothesis that this mean is significantly different from the US population average of 6.8 hours in the following steps. Use an alpha value of 0.05.
a) Specify the null hypothesis (H0).
b) Specify the alternative hypothesis (HA).
c) What is the standard error of the mean?
d) Convert your statistic into standard units with respect to your null hypothesis.
e) What is the critical value of t for rejecting the null hypothesis?
f) What is your decision?
g) What is the effect size? Is it small, medium, or large?
h) What is the p-value for this result?
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Suppose you interview 10 randomly selected workers and ask how many miles they commute to work. You'll compute the sample mean commute distance.
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