A normal distribution has a mean of u = 54 and a standard deviation of o = 6.  a. What is the the probability of randomly selecting a score less than X = 51? b. What is the probability of selecting a sample of n = 4 scores with a mean less than M = 51? c. What is the probability of selecting a sample of n = 36 scores with a mean less than M = 51?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A normal distribution has a mean of u = 54 and a standard deviation of o = 6. 

a. What is the the probability of randomly selecting a score less than X = 51?

b. What is the probability of selecting a sample of n = 4 scores with a mean less than M = 51?

c. What is the probability of selecting a sample of n = 36 scores with a mean less than M = 51?

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