SOLUTION: Construct a 99% confidence interval for a population mean. The sample mean is X = 40 and the standard error of the mean is σX = 2.4.

Algebra.Com
Question 923311: Construct a 99% confidence interval for a population mean. The sample mean is X = 40 and the standard error of the mean is σX = 2.4.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
sample mean is X = 40 and the standard error of the mean is σX = 2.4.
99% confidence interval for a population mean.
ME = 2.576(2.4) = 6.2
CI = 40 - ME < u < 40 + ME
CI = 40 - 6.2 < u < 40 + 6.2
CI: (33.8, 46.2)
Note: As sample mean is a whole number, may wish to round CI to whole numbers:
CI( 34, 46)

RELATED QUESTIONS

Forty-nine items are randomly selected from a population of 500 items. The sample mean is (answered by stanbon)
A 99% confidence interval (in inches) for the mean height of a population is 65.7 < μ <... (answered by ewatrrr)
A sample of 230 observations is selected from a normal population for which the... (answered by hussamuddin,Boreal)
construct a 99% confidence interval estimate for a population of 50, a standard deviation (answered by Boreal,ewatrrr)
Construct and interpret confidence intervals for the population mean: a random sample of... (answered by stanbon)
Forty-nine items are randomly selected from a population of 500 items. The sample mean is (answered by ewatrrr)
Find 80%, 85% and 99.9% confidence interval for the sample mean of a population, if we... (answered by Theo)
Find 80%, 85% and 99.9% confidence interval for the sample mean of a population, if we... (answered by robertb)
A sample of size 80 from a population having standard deviation σ = 8 produced a... (answered by ewatrrr)