You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare...




You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.


From a random sample of
63

​dates, the mean record high daily temperature in a certain city has a mean of
84.50°F.

Assume the population standard deviation is
14.11°F.






The​ 90% confidence interval is
​(nothing​,nothing​).


​(Round to two decimal places as​ needed.)

The​ 95% confidence interval is
​(nothing​,nothing​).


​(Round to two decimal places as​ needed.)

Which interval is​ wider? Choose the correct answer below.









The​ 95% confidence interval








The​ 90% confidence interval





Interpret the results.







A.


You can be​ 90% confident that the population mean record high temperature is between the bounds of the​ 90% confidence​ interval, and​ 95% confident for the​ 95% interval.






B.


You can be certain that the population mean record high temperature is either between the lower bounds of the​ 90% and​ 95% confidence intervals or the upper bounds of the​90% and​ 95% confidence intervals.






C.


You can be certain that the mean record high temperature was within the​ 90% confidence interval for approximately
57

of the
63

​days, and was within the​ 95% confidence interval for approximately
60

of the
63

days.






D.


You can be​ 90% confident that the population mean record high temperature is outside the bounds of the​ 90% confidence​ interval, and​ 95% confident for the​ 95% interval.






Jun 08, 2022
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