# Question

One semester I had a total of 80 students in my statistics classes. The average score for the class on the last exam I administered was 85.4 with a standard deviation of 4.9. A random sample of 32 students was selected.

a. Calculate the standard error of the mean.

b. What is the probability that the sample mean will be less than 87?

c. What is the probability that the sample mean will be more than 86?

d. What is the probability that the sample mean will be between 84.5 and 86.5?

a. Calculate the standard error of the mean.

b. What is the probability that the sample mean will be less than 87?

c. What is the probability that the sample mean will be more than 86?

d. What is the probability that the sample mean will be between 84.5 and 86.5?

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