A random sample of 10 colleges from Kiplinger€™s 100 Best Values in Public Education was taken. A 95% confidence interval for the mean admission rate was (52.8%, 75.0%). The rates of admission were normally distributed. Which of the following statements is a 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.

Transcribed Image Text:

C-level 90% 95% 99% 1.711 2.064 2.797 1.708 2.060 2.787 1.706 2.056 2.779 1.703 2.052 2.771 1.701 .048 2.763 26 27 28 28 29 30 34 C-level 90% 95% 99% 1.701 2.048 2.763 1.699 2.045 2.756 1.697 2.042 2.750 1.691 2.032 2.728