Question
You are given the sample mean and the population standard deviation. Use this information to construct the90% and95% confidence intervals for the population mean. Interpret
You are given the sample mean and the population standard deviation. Use this information to construct the90% and95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.
From a random sample of 71 dates, the mean record high daily temperature in a certain city has a mean of 86.05F. Assume the population standard deviation is 15.14F.
The90% confidence interval is (
nothing
,
nothing
).
(Round to two decimal places asneeded.)
The95% confidence interval is (
nothing
,
nothing
).
(Round to two decimal places asneeded.)
Which interval iswider? Choose the correct answer below.
The95% confidence interval
The90% confidence interval
Interpret the results.
A.
You can be90% confident that the population mean record high temperature is outside the bounds of the90% confidenceinterval, and95% confident for the95% interval.
B.
You can be certain that the mean record high temperature was within the90% confidence interval for approximately 64 of the 71 days, and was within the95% confidence interval for approximately 67 of the 71 days.
C.
You can be certain that the population mean record high temperature is either between the lower bounds of the90% and95% confidence intervals or the upper bounds of the90% and95% confidence intervals.
D.
You can be90% confident that the population mean record high temperature is between the bounds of the90% confidenceinterval, and95% confident for the95% interval.
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