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 ATTACHMENT PREVIEW Download attachmentMATH 221 Statistics for Decision MakingWeek 6 iLabName:_______________________Statistical Concepts:Data SimulationConfidence IntervalsNormal ProbabilitiesShort Answer Writing AssignmentAll answers should be complete sentences.We need to find the confidence interval for the SLEEP variable.To do this, we need tofind the mean and then find the maximum error.Then we can use a calculator to find theinterval, (x – E, x + E).First, find the mean.Under that column, in cell E37, type=AVERAGE(E2:E36).Underthat in cell E38, type=STDEV(E2:E36).Now we can find the maximum error of theconfidence interval.To find the maximum error, we use the “confidence” formula.Incell E39, type=CONFIDENCE.NORM(0.05,E38,35).The 0.05 is based on theconfidence level of 95%, the E38 is the standard deviation, and 35 is the number in oursample.You then need to calculate the confidence interval by using a calculator tosubtract the maximum error from the mean (x-E) and add it to the mean (x+E).1.Give and interpret the 95% confidence interval for the hours of sleep a student gets.(5 points)Then, you can go down to cell E40 and type=CONFIDENCE.NORM(0.01,E38,35)tofind the maximum error for a 99% confidence interval.Again, you would need to use acalculator to subtract this and add this to the mean to find the actual confidence interval.2.Give and interpret the 99% confidence interval for the hours of sleep a student gets.(5 points)3.Compare the 95% and 99% confidence intervals for the hours of sleep a student gets.Explain the difference between these intervals and why this difference occurs. (5points)

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