Question

In: Statistics and Probability

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

A sample of 130 working students at a large university was asked how many hours they work in a typical week. A 95% z confidence interval for the average number of hours a week a typical student employee works was (13.5, 15.3)

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

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

ii. We are 95% confident that the average numbers of hours a students employee works in a typical week is between 13.5 and 15.3.

iii. We can be confident that about 95% of all student workers work 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 population average number of hours a week a typical student employee works

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

Solutions

Expert Solution

1.96 in b) corresponds to the Z value for 95% confidence interval.

orchestra answered 1 year ago
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