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Mathematics, 06.09.2021 15:50 mslamaya11

To find out whether Medicine X is more effective at managing insomnia than Medicine Y, 11 patients are selected. 6 receive Medicine X, and 5 receive Medicine Y. The time taken
to fall asleep, in minutes, is as follows:
Medicine X: 22, 24, 18, 28, 16, 20. Medicine Y: 18, 20, 14, 20, 14
Assume the two populations are normally distributed with equal variances.
(a) Construct a 99% confidence interval for the difference in average time to fall asleep
(in minutes) between medicine X and Y?

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