A survey was done comparing the number of hours of sleep for workers on the day shift and for workers on the night shift. Assume the sample is random. Descriptive statistics are shown. The output of a t-test is also shown.

a. Compare the sample means descriptively in at least one sentence.
b. Test the hypothesis that those on the night shift and those on the day shift do not have the same population mean number of hours of sleep. Use a significance level of 0.05.
c. If you could find a 95% confidence interval for the mean difference in means, would it capture 0? Explain.

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Options Summary statistics for Hours Sleep: Group by: shift Shift Mean Std, dev. Median Range Min Max 01 03 day 756.67 1.3968836616 B night 52 5.9519231 1.515474563 9 S 7 Options Hypothesis test results: μ1 : Mean of Hours Sleep where Shiftenight U2 : Mean of Hours sleep where shift-day μι-u2 : Difference between two means (without pooled variances) Difference Sample Diff.Std. Err. DF T-Stat P-value 1-0.7180769210-264922091 103.927721-2.7105212|0.0079 μί-u2