In a survey conducted by a polling company, 1100 adult Americans were asked how

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 confidence level.

B. Use fewer degrees of freedom.

C. Increase the sample size.

D. Decrease the sample size.

E. Decrease the confidence level.

F. Decrease the standard deviation of hours worked.

Explanation / Answer

Answer:

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 confidence level.

B. Use fewer degrees of freedom.

Answer C. Increase the sample size.

D. Decrease the sample size.

Answer E. Decrease the confidence level.

Answer: F. Decrease the standard deviation of hours worked.

Increasing the sample size and decrease the confidence level decreases the margin of error of the interval. Decrease in standard deviation also leads to decrease in margin of error.

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