Question

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

78

dates, the mean record high daily temperature in a certain city has a mean of

85.43 degrees°F.

Assume the population standard deviation is

13.72 degrees°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 90% confidence interval

The 95% confidence interval

Interpret the results.

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

70

of the

78

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

74

of the

78

days.

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 90% confident that the population mean record high temperature is outside the bounds of the 90% confidence interval, and 95% confident for the95% interval.

D.

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 the95% interval.

Answer #1

**Which interval is wider?**

**
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.**

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