A new type of sleeping pill is tested against an older, standard pill. Two thousand insomniacs are
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Consider the test of hypothesis H0: µ1 µ2 = 0 versus H1: µ1 µ2 > 0, where µ1 and µ2 are the mean times required for all potential users to fall asleep using the old pill and the new pill, respectively.
a. Find the p-value for this test.
b. Does your answer to part a indicate that the result is statistically significant? Use α = .025.
c. Find a 95% confidence interval for µ1 µ2.
d. Does your answer to part c imply that this result is of great practical significance?
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