For the provided sample mean, sample size, and population standard deviation, complete parts (a) through (c) below.

x̄=38 ,n =100 ,σ=33

a. Find a 95% confidence interval for the population mean.

The 95% confidence interval is from

_____ to _____.

(Round to two decimal places as needed.)

b. Identify and interpret the margin of error.

The margin of error is ______

(Round to two decimal places as needed.)

Interpret the margin of error. Choose the correct answer below.

A. We can be 95% confident that the population mean μ , is within the margin of error of the sample mean,38.

B. We can be 95% confident that any possible value of the variable is within the margin of error of the population mean, μ.

C. We can be 95% confident that any possible value of the variable is within the margin of error of the sample mean, 38.

D. We can be 95% confident that any possible sample mean is within the margin of error of 38.

c. Express the endpoints of the confidence interval in terms of the point estimate and the margin of error.

The 95% confidence interval is ______±_____.

(Round to two decimal places as needed.)