Given a sampling distribution, define the expected value and standard deviation for the distribution and find the probability of an outcome or event and interpret the result. The average time to complete a quiz is 45 minutes with a standard deviation of 4 minutes.
A) What is the mean and standard deviation of the sampling distribution of the sample mean?
B) Is the distribution normal or approximately normal? Why or why not?
C) What is the probability that the average time for the 60 students was between 40 and 48 minutes?
D) What is the likelihood of a randomly selected student will take more than 50 minutes to complete the quiz?