Question

In a survey conducted by a polling company, 1100 adult Americans were asked how many hours they worked in the previous week. Based on the results, a 95% confidence interval for the mean number of hours worked had a lower bound of 42.7 and an upper bound of 44.5. Provide two recommendations for decreasing the margin of error of the interval. Select all that apply. A. Increase the sample size. B. Decrease the standard deviation of hours worked. C. Use fewer degrees of freedom. E. Decrease the sample size. F. Decrease the confidence level.

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Answer #1

The formula for margin of error is:

sd

As the sample size increases, margin of error decreases.

As the confidence interval increases, critical value increases so margin of error increases. That is decreasing confidence level will decrease the margin of error.

Correct options are: A and F

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