Question

A random sample of 20 recent weddings in a country yielded a mean wedding cost of $26,327.04. Assume that recent wedding costs in this country are normally distributed with a standard deviation of $7700. Complete parts​ (a) through​ (c) below.

a. Determine a​ 95% confidence interval for the mean​ cost, μ​, of all recent weddings in this country. The​ 95% confidence interval is from ​$___ to ​$___.

b) Interpret your result in part​ (a). Choose the correct answer below.

A.We can be​ 95% confident that any randomly selected recent wedding cost in this country is somewhere within the confidence interval.

B.We can be​ 95% confident that the sample cost of recent weddings in this country is somewhere within the confidence interval.

C. The mean​ cost, μ​,of all recent weddings in this country is somewhere within the confidence interval.

D.We can be​ 95% confident that the mean​ cost, μ​,of all recent weddings in this country is somewhere within the confidence interval.

c. Does the mean cost of all recent weddings in this country lie in the confidence interval obtained in part​ (a)? Explain your answer.

A.​Yes, since the confidence interval must contain the sample and population means.

B.The population mean may or may not lie in this​ interval, but we can be​ 95% confident that it does.

C.The sample mean may or may not lie in this​ interval, but we can be​ 95% confident that it does.

D.​No, since there is a​ 5% chance that the population mean does not lie in the confidence interval.

Answer 1