Use normalcdf command to answer the questions below. A college’s data about incoming freshman indicates that the mean of their high school GPAs was 3.2 with a standard deviation of 0.65. Incoming freshman arerandomly assigned to writing seminars in groups of 25. a) Find the mean and standard deviation of the sampling distribution and describe the sampling distribution using the notation ?(?, ?).b) What is the probability of a group having an average high school GPA above 3.5?c) What is the probability of a group having an average high school GPA below 3.0?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Use normalcdf command to answer the questions below. A college’s data about incoming freshman indicates that the mean of their high school GPAs was 3.2 with a standard deviation of 0.65. Incoming freshman are
randomly assigned to writing seminars in groups of 25. 
a) Find the mean and standard deviation of the sampling distribution and describe the sampling distribution using the notation ?(?, ?).
b) What is the probability of a group having an average high school GPA above 3.5?
c) What is the probability of a group having an average high school GPA below 3.0?

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