Basic Computation: Central Limit Theorem Suppose has a distribution with a mean of 20 and a standard deviation of 3. Random samples of size n = 36 are drawn. a. Describe the distribution and compute the mean and standard deviation of the distribution. b. Find the z value corresponding to = 19. c. Find P(<19). d. Interpretation Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 19? Explain.

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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Basic Computation: Central Limit Theorem Suppose has a distribution with a
mean of 20 and a standard deviation of 3. Random samples of size n = 36 are
drawn.
a. Describe the distribution and compute the mean and standard deviation of
the distribution.
b. Find the z value corresponding to = 19.
c. Find P(<19).
d. Interpretation Would it be unusual for a random sample of size 36 from the
x distribution to have a sample mean less than 19? Explain.
Transcribed Image Text:Basic Computation: Central Limit Theorem Suppose has a distribution with a mean of 20 and a standard deviation of 3. Random samples of size n = 36 are drawn. a. Describe the distribution and compute the mean and standard deviation of the distribution. b. Find the z value corresponding to = 19. c. Find P(<19). d. Interpretation Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 19? Explain.
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