The distribution ages for students at the state college is positively skewed with a mean of µ = 21.5 and a standard deviation of σ = 3.     a. What is the probability of selecting a random sample of n = 4 students with an average age greater than             23?      b. What is the probability of selecting a random sample of n = 36 students with an average age greater             than 23?      c. For a sample of n = 36 students, what is the probability that the average age is between 21 and 22?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The distribution ages for students at the state college is positively skewed with a mean of µ = 21.5 and a standard deviation of σ = 3.

    a. What is the probability of selecting a random sample of n = 4 students with an average age greater than

            23? 

    b. What is the probability of selecting a random sample of n = 36 students with an average age greater

            than 23? 

    c. For a sample of n = 36 students, what is the probability that the average age is between 21 and 22?

            

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