Suppose a researcher surveys 100 college students asking them the maximum amount of money they would be willing to spend on a date. The mean amount reported is $73.50, and 5,000 bootstrap samples were used to construct a 95% confidence interval for the population mean, which is calculated to be 66.50 to 80.50.

Indicate what would happen to the width of the confidence interval if the changes below were made. For each option, assume all other quantities are held constant.

Group of answer choices

The sample size is changed from 100 students to 500 students

[ Choose ] Width would decrease Width would increase Width would stay about the same Impossible to say with information available

The number of bootstrap samples used is changed from 5,000 to 10,000

[ Choose ] Width would decrease Width would increase Width would stay about the same Impossible to say with information available

The confidence level is changed from 95% to 99%

[ Choose ] Width would decrease Width would increase Width would stay about the same Impossible to say with information available

The sample mean is changed from 73.50 to 54.00