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A sample of 130 working students at a large university was asked how many hours they...

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Statistics

A sample of 130 working students at a large university was askedhow many hours they work in a typical week. A 95% z confidenceinterval for the average number of hours a week a typical studentemployee works was (13.5, 15.3)

(a)Identify each of the following interpretations as TRUE orFALSE with a brief explanation for each.

i. 95% of sampled student workers work between 13.5 and 15.3hours in a typical week.

ii. We are 95% confident that the average numbers of hours astudents employee works in a typical week is between 13.5 and15.3.

iii. We can be confident that about 95% of all student workerswork between 13.5 and 15.3 hours in a typical week.

iv. This interval was constructed in such a way that around 95%of all intervals similarly constructed would capture the populationaverage number of hours a week a typical student employee works

(b)Calculate the sample mean and sample standard deviation thatwere used to build the confidence interval. Show your work.

Answer & Explanation Solved by verified expert
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