What changes the width of a confidence interval? A marketing director wants a 95% confidence interval for the mean cost of running shoes. She randomly samples 40 pairs of shoes and finds that the sample mean, î, was $122 with a sample standard deviation, s, of $27. The marketing director concluded, with 95% confidence, that between $113.36 and $130.64 contains the mean cost of all running shoes. What would change for a narrower confidence interval? Select all answers that will make the width narrower. O If the sample size decreased to 30 pairs of shoes. O If the point estimate was smaller. If she increased the confidence level to a 99% confidence level. O If the point estimate was larger. If she decreased the confidence level to a 90% confidence interval. O If the sample size increased to 50 pairs of shoes. O If the sample standard deviation was larger. O If the sample standard deviation was smaller.

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What changes the width of a confidence interval?
A marketing director wants a 95% confidence interval for the mean cost of running shoes. She
randomly samples 40 pairs of shoes and finds that the sample mean, ī, was $122 with a sample
standard deviation, s, of $27.
The marketing director concluded, with 95% confidence, that between $113.36 and $130.64
contains the mean cost of all running shoes.
What would change for a narrower confidence interval?
Select all answers that will make the width narrower.
O If the sample size decreased to 30 pairs of shoes.
If the point estimate was smaller.
If she increased the confidence level to a 99% confidence level.
O If the point estimate was larger.
O If she decreased the confidence level to a 90% confidence interval.
O If the sample size increased to 50 pairs of shoes.
If the sample standard deviation was larger.
O If the sample standard deviation was smaller.
Transcribed Image Text:What changes the width of a confidence interval? A marketing director wants a 95% confidence interval for the mean cost of running shoes. She randomly samples 40 pairs of shoes and finds that the sample mean, ī, was $122 with a sample standard deviation, s, of $27. The marketing director concluded, with 95% confidence, that between $113.36 and $130.64 contains the mean cost of all running shoes. What would change for a narrower confidence interval? Select all answers that will make the width narrower. O If the sample size decreased to 30 pairs of shoes. If the point estimate was smaller. If she increased the confidence level to a 99% confidence level. O If the point estimate was larger. O If she decreased the confidence level to a 90% confidence interval. O If the sample size increased to 50 pairs of shoes. If the sample standard deviation was larger. O If the sample standard deviation was smaller.
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