Statistical Inference – Quiz 3

Consider the following image, which shows the distribution of sample means of student test scores as predicted by the Central Limit Theorem.

1. In the picture, what is the correct interpretation of the probability of 9.0%? (Choose all that apply)

2. If the sample increased from 25 to 50 students, but the sample mean was still 10.5, which of the following would happen? (Choose all that apply)

3. According to the Central Limit Theorem, if the true mean is 9.6 and the standard deviation is 3.4, what is the probability that my random sample of 25 students has a sample mean of 15 or greater?