Construct the indicated confidence interval for the population mean

$$\mu$$

using the t-distribution.

$$c = 0.99 , \overline { x } = 24.7 , s = 4.6 , n = 50$$

Construct the indicated confidence interval for the population mean

$$\mu$$

. If convenient, use technology to construct the confidence interval.

$$c = 0.95 , \overline { x } = 31.39 , \sigma = 0.8 , n = 82$$

Construct the indicated confidence interval for the population mean

$$\mu$$

. If convenient, use technology to construct the confidence interval.

$$c = 0.80 , \overline { x } = 20.6 , \sigma = 4.7 , n = 100$$

You construct a 95% confidence interval for a population mean using a random sample. The confidence interval is

$$24.9 < \mu< 31.5$$

. Is the probability that

$$\mu$$

is in this interval 0.95? Explain.

Construct the indicated confidence interval for the population mean If convenient, use technology to construct the confidence interval.

$$c=0.99, \bar{x}=15.8, s=0.85, n=80$$

How to construct a $99\%$ confidence interval for the population mean?

Construct the indicated confidence interval for the population mean

$$\mu$$

. If convenient, use technology to construct the confidence interval.

$$c = 0.90 , \overline { x } = 12.3 , \sigma = 1.5 , n = 50$$

Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals. In a survey of 674 U.S. males ages 18 to 64, 396 say they have gone to the dentist in the past year.

Determine the minimum sample size n needed to estimate

$$\mu$$

for the values of c,

$$\sigma$$

, and E.

$$c = 0.95 , \sigma = 2.5 , E = 1$$

Construct the indicated confidence interval for the population mean $\mu$ using

a) a t-distribution.

b) If you had incorrectly used a normal distribution, which interval would be wider?

c=0.99, $\bar{x}$=24.7, s=4.6, n=10

Find the critical value

$$t _ { c }$$

for the level of confidence c and sample size n. c = 0.90, n = 10

Determine the minimum sample size n needed to estimate $\mu$, for the values of c, $\sigma$, and E. $c=0.80, \sigma=4.1, E=2$

Use the confidence interval to find the margin of error and the sample mean. (12.0, 14.8)

In this exercise, construct the indicated confidence interval for the population mean $\mu$, using

(a) a t-distribution.

(b) If you had incorrectly used a normal distribution, which interval would be wider?

c = 0.99, $\bar{x}$ = 14, s = 2.0, n = 10