(5) In a random sample of 21 ?people, the mean commute time to work was 31.5...

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(5) In a random sample of 21 ?people, the mean commute time towork was 31.5 minutes and the standard deviation was 7.3 minutes.Assume the population is normally distributed and use a?t-distribution to construct a 80?% confidence interval for thepopulation mean ?. What is the margin of error of ??? Interpret theresults.
(8) Use the standard normal distribution or the? t-distributionto construct a 99?% confidence interval for the population mean.Justify your decision. If neither distribution can be? used,explain why. Interpret the results. In a random sample of 17mortgage? institutions, the mean interest rate was 3.69?% and thestandard deviation was 0.38?%. Assume the interest rates arenormally distributed.
(3)
Construct the indicated confidence interval for the populationmean ? using the? t-distribution. Assume the population is normallydistributed. c= 0.99?, overbar x=12.9?, s= 4.0?,n=5 round to onedecimal place

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Solution 5 Given that 315s 73n 21Degrees of freedom df n 1 21 1 20At 80confidence level the t is 1 80 1 080 020 2 020 2 010t2df t01020 1325Margin of error E t2df s n 1325 73 See Answer

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