# Based on a random sample of 1040 adults, the mean amount of sleep per night is 7.73 hours

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Question:

Based on a random sample of 1040 adults, the mean amount of sleep per night is 7.73 hours. Assuming the population standard deviation for amount of sleep per night is 3.5 hours. Construct and interpret a 90% confidence interval for the mean amount of sleep per night.
A 90% confidence interval is ( _____ , ______ )

Given:

Sample size = n = 1040 and sample mean = $\bar{x}&space;=&space;7.73$

Population standard deviation = $\sigma&space;=&space;3.5$

We have to construct 90% confidence interval for mean amount of sleep per night.

We use following formula:

$(\bar{x}-E\:&space;\:&space;<&space;\mu&space;<&space;\:&space;\:\bar{x}+E&space;)$