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It is known that the number of hours a student sleeps per night has a normal...

It is known that the number of hours a student sleeps per night has a normal distribution. The sleeping time in hours of a random sample of 8 students is given below. See Attached Excel for Data. 8.6, 8.3, 7.6, 6, 7.1, 5.6, 5.1, 6 Compute a 98% confidence interval for the true mean time a student sleeps per night and fill in the blanks appropriately. We have 98 % confidence that the true mean time a student sleeps per night is between and hours. (round to 3 decimal places)

Math   Statistics-And-Probability   
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Answer #1



Since we know that





Sample size (n) = 8
Standard deviation (s) = 1.3
Confidence interval(in %) = 98

Required confidence interval = (6.7875-1.3779, 6.7875+1.3779)
Required confidence interval = (5.4096, 8.1654)
Interpretion: We are 98.0% confident that the true mean of the population lie between the interval 5.4096 and 8.1654.
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