A random sample of n= 64 observations is drawn from a population with a mean equal to 20 and a standard deviation equal to 16. a. Give the mean and standard deviation of the (repeated) sampling distribution of . b. Describe the shape of the sampling distribution of . Does your answer depend on the sample size? c. Calculate the standard normal z-score corresponding to a value of - 15.5. l. Calculate the standard normal z-score corresponding to

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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5.18 A random sample of n = 64 observations is drawn from
INW a population with a mean equal to 20 and a standard
deviation equal to 16.
a. Give the mean and standard deviation of the (repeated)
sampling distribution of T.
b. Describe the shape of the sampling distribution of X.
Does your answer depend on the sample size?
c. Calculate the standard normal z-score corresponding to
a value of = 15.5.
d. Calculate the standard normal z-score corresponding to
I = 23.
Transcribed Image Text:5.18 A random sample of n = 64 observations is drawn from INW a population with a mean equal to 20 and a standard deviation equal to 16. a. Give the mean and standard deviation of the (repeated) sampling distribution of T. b. Describe the shape of the sampling distribution of X. Does your answer depend on the sample size? c. Calculate the standard normal z-score corresponding to a value of = 15.5. d. Calculate the standard normal z-score corresponding to I = 23.
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