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Answer:
(1)
The confidence interval for this case would be:
And we want to know what happens with the interval if we reduce the confidence level to 90% and for this case we will get a narrower interval since the critical value would be lower. So then the best option would be:
a. becomes narrower
Step-by-step explanation:
Notation
represent the sample mean for the sample
population mean
s represent the sample standard deviation
n represent the sample size
Solution
The confidence interval for the mean is given by the following formula:
(1)
The confidence interval for this case would be:
And we want to know what happens with the interval if we reduce the confidence level to 90% and for this case we will get a narrower interval since the critical value would be lower. So then the best option would be:
a. becomes narrower