Fortynine items are randomly selected from a population of 5

Forty-nine items are randomly selected from a population of 500 items. The sample mean is 40 and the sample standard deviation 9.

Develop a 99% confidence interval for the population mean. (Round your answers to 3 decimal places.)

Solution

Forty-nine items are randomly selected from a population of 500 items. The sample mean is 40 and the sample standard deviation 9.

Develop a 99% confidence interval for the population mean. (Round your answers to 3 decimal places.)

49/500 =0.098 which is sample size is more than 5%.,

finite population correction is used.

The confidence interval is between 36.722 and 43.278

Confidence Interval Estimate for the Mean

Data

Sample Standard Deviation

9

Sample Mean

40

Sample Size

49

Confidence Level

99%

Intermediate Calculations

Standard Error of the Mean

1.2857

Degrees of Freedom

48

t Value

2.6822

Interval Half Width

3.4485

Finite Populations

Population Size

500

FPC Factor

0.9507

Interval Half Width

3.2785

Interval Lower Limit

36.722

Interval Upper Limit

43.278