Answer:
The general formula for the margin of error is given by:
And for this case the width is:
And if we decrease the confidence level from 95% to 90% then the critical value would decrease and in effect the width for this new confidence interval decreases.
As confidence level decreases, the interval width decreases
Step-by-step explanation:
For this cae we know that the sample size selected is n =41
And we have a confidence interva for the true mean of foot length for students at a college selected.
The confidence interval is given by this formula:
And for this case the 95% confidence interval is given by: (21.71,25.09)
A point of etimate for the true mean is given by:
And the margin of error would be:
The general formula for the margin of error is given by:
And for this case the width is:
And if we decrease the confidence level from 95% to 90% then the critical value would decrease and in effect the width for this new confidence interval decreases.
As confidence level decreases, the interval width decreases