A population has a mean of 50 and a standard deviation of 12. If a random sample of 36 is taken, what is the probability that the sample mean is each of the following? a. Greater than 50 b. Less than 54 c. Less than 49

A population has a mean of 50 and a standard deviation of 12. If a random sample of 36 is taken, what is the probability that the sample mean is each of the following? a. Greater than 50 b. Less than 54 c. Less than 49

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A population has a mean of 50 and a standard deviation of 12. If a random sample of 36 is taken, what is the probability that the sample mean is each of the following?

a. Greater than 50
b. Less than 54
c. Less than 49
d. Between 47.5 and 52.5
e. Between 50.7 and 51.8

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Follow-up Question

A population has a mean of 50 and a standard deviation of 11. If a random sample of 36 is taken, what is the probability that the sample mean is each of the following? a . Greater than 52. b. less than 52. C. less than 48. d.between 48.5 and 52.5 e Between 50.4 and 51.2

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