At a large university the graduation rate for the general st

At a large university, the graduation rate for the general student body was reported to be 0.69. We want to compare the center, spread, and shape of the distribution of sample proportion graduating for random samples of 10 students, compared to the distribution for random samples of 100 students.

(a) What is the center of the distribution for samples of size 10? (Round your answer to two decimal places.)


What is the center of the distribution for samples of size  100? (Round your answer to two decimal places.)

Solution

The center (mean) willl remain same for both cases, and will be equal to 0.69 which is the true population proportion. Increases sample size will decrease the dispersion (standard deviation of proportion).