A random sample of 10 colleges was taken. A 95% confidence interval for the mean

Question

A random sample of 10 colleges was taken. A 95% confidence interval for the mean admission rate was

left parenthesis 52.8 % comma 75.0 % right parenthesis(52.8%, 75.0%).

The rates of admission were Normally distributed. Which of the following statements is the correct interpretation of the confidence

level, and which is the correct interpretation of the confidence interval?

a. We are confident that the mean admission rate is between 52.8% and 75.0%.

b. In about 95% of all samples of 10 colleges, the confidence interval will contain the population mean admission rate.

Explanation / Answer

Solution:

The data represent the rates of college admission
a) Expounding of confidence interval
There are 95% confident that the mean admission rate between 52.8% and 75.0%
b) Expounding of confidence level
In about 95% of all samples of 10 colleges, the confidence interval will contain the population mean admission rate.

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