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(For questions 1 and 2) 1. A 95% confidence interval for the mean hourly wage pa

ID: 3131244 • Letter: #

Question

(For questions 1 and 2)

1. A 95% confidence interval for the mean hourly wage paid to fast food workers is $8.45 to $8.75. The confidence interval was computed using a random sample of 100 workers. True or false. 95% of the food workers in this population have an hourly wage between $8.45 and $8.75.

a. True

b. False

2. Suppose we took a random sample of 50 workers instead of 100 workers. Would we expect the 95% confidence interval to be narrower or wider than the interval based on a random sample of 100 workers?

a. narrower

b. wider

Explanation / Answer

1. True if standard deviation of the hourly wage paid to fast food workers is 0.77$.

2. If we takek a random sample of 50 workers instead of 100 workers, the 95% confidence interval to be wider than the interval based on a random sample of 100 workers. Option (b).