In a random sample of 26 people, the mean commute time to workwas 30 7...

In a random sample of 26 â€‹people, the mean commute time to work was 30.7 minutes...

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In a random sample of 26 â€‹people, the mean commute time to workwas 30.7 minutes and the standard deviation was 7.2 minutes. Assumethe population is normally distributed and use aâ€‹ t-distribution toconstruct a 80â€‹% confidence interval for the population mean mu.What is the margin of error of muâ€‹? Interpret the results. Theconfidence interval for the population mean mu is(-,-) â€‹(Round toone decimal place)
The margin of error of mu is___. â€‹(Round to one decimalplace)
Interpret the results
.A. If a large sample of people are taken approximately 80â€‹% ofthem will have commute times between the bounds of the confidenceinterval.
B. It can be said that 80â€‹% of people have a commute timebetween the bounds of the confidence interval.
C. With 80â€‹% â€‹confidence, it can be said that the populationmean commute time is between the bounds of the confidenceinterval
D. With 80â€‹% â€‹confidence, it can be said that the commute timeis between the bounds of the confidence interval.Â Â

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SolutionGivenSample Size n 26Sample mean Sample Standard Deviation s 72We have touse a tdistribution to construct a 80confidence interval for the See Answer

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