Drive (miles) 20 28 54 76 36 88 6 25 40 42 55 71 76 78 4 20 25 29 33 36 36 36 63 73 73 76 80 33 54 63 76 80 80 94 6 State OR NY NV PA TX SC MI CA IL

We need to find the confidence interval for the SLEEP variable. We need to find the mean and then find the maximum error. Then we can use a calculator to find the interval, (x - E, x + E).

First, find the mean. Under that column, in cell E37, type =AVERAGE(E2:E36). Under that in cell E38, type =STDEV(E2:E36).  Now we can find the maximum error of the confidence interval. To find the maximum error, we use the "confidence" formula. In cell E39, type =CONFIDENCE.NORM(0.05,E38,35). The 0.05 is based on the confidence level of 95%, the E38 is the standard deviation, and 35 is the number in our sample. You then need to calculate the confidence interval by using a calculator to subtract the maximum error from the mean (x-E) and add it to the mean (x+E).

Give and interpret the 95% confidence interval for the hours of sleep a student gets.