Suppose an x-distribution has mean ? = 2. Consider two corresponding x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81. (a) What is the value of the mean of each of the two x distributions? For n = 49, ?x= For n = 81, ?x= b) For which x distribution is P(x > 2.50) smaller? Explain your answer. The distribution with n = 49 because the standard deviation will be larger. The distribution with n = 81 because the standard deviation will be smaller. The distribution with n = 49 because the standard deviation will be smaller. The distribution with n = 81 because the standard deviation will be larger. c) For which x distribution is P(1.50 < x< 2.50) greater? Explain your answer. The distribution with n = 49 because the standard deviation will be larger. The distribution with n = 81 because the standard deviation will be smaller. The distribution with n = 49 because the standard deviation will be smaller. The distribution with n = 81 because the standard deviation will be larger.
Suppose an x-distribution has mean ? = 2. Consider two corresponding x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81. (a) What is the value of the mean of each of the two x distributions? For n = 49, ?x= For n = 81, ?x= b) For which x distribution is P(x > 2.50) smaller? Explain your answer. The distribution with n = 49 because the standard deviation will be larger. The distribution with n = 81 because the standard deviation will be smaller. The distribution with n = 49 because the standard deviation will be smaller. The distribution with n = 81 because the standard deviation will be larger. c) For which x distribution is P(1.50 < x< 2.50) greater? Explain your answer. The distribution with n = 49 because the standard deviation will be larger. The distribution with n = 81 because the standard deviation will be smaller. The distribution with n = 49 because the standard deviation will be smaller. The distribution with n = 81 because the standard deviation will be larger.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
Suppose an x-distribution has mean ? = 2. Consider two corresponding x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81.
(a) What is the value of the mean of each of the two x distributions?
For n = 49, ?x=
For n = 81, ?x=
b) For which x distribution is P(x > 2.50) smaller? Explain your answer.
The distribution with n = 49 because the standard deviation will be larger.
The distribution with n = 81 because the standard deviation will be smaller.
The distribution with n = 49 because the standard deviation will be smaller.
The distribution with n = 81 because the standard deviation will be larger.
c) For which x distribution is P(1.50 < x< 2.50) greater? Explain your answer.
The distribution with n = 49 because the standard deviation will be larger.
The distribution with n = 81 because the standard deviation will be smaller.
The distribution with n = 49 because the standard deviation will be smaller.
The distribution with n = 81 because the standard deviation will be larger.
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