On average a mother stayed 3.0 days in a certain hospital after childbirth. The standard deviation of number of days in that hospital is known to be 0.5 day. Hospital administrators, doctors, and other groups decided to make a joint effort to reduce the average number of days in the hospital. After some campaigning, a sample of 36 mother revealed that the mean length of stay in that hospital was 2.8 days. Test, at α = 0.05, if mothers are staying in the hospital less than the previous average. Write H0, Ha, test statistic, rejection region or P-value
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