The Pew Research Center interviewed a random sample of 1,546 adult Americans to determine the average time they spent sleeping per night. The sample mean was found to be 7.2 hours of sleep, with a sample standard deviation of 1.4 hours. Construct a 95% confidence interval for the true mean. Interpret your confidence interval in words.

CI=[ 7.1302,7.2698]

we are 95% confident that the true mean sleeping time lies between the interval[ 7.1302,7.2698]

Step-by-step explanation:

-Given that the sample size, n=1546  the mean is 7.2 hrs and the standard deviation,

-The 95% confidence interval can be calculated using the formula:

The confidence intervals is therefore 7.1302,7.2698]

Hence, we are 95% confident that the true mean sleeping time lies between the interval[ 7.1302,7.2698]

4

step-by-step explanation:

a: 1/6, j: 1/4

step-by-step explanation: you are welcome