Suppose an x-distribution has mean μ = 8. 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, μ x = For n = 81, μ x = (b) For which x distribution is P(x > 10.00) smaller? Explain your answer. The distribution with n = 81 because the standard deviation will be larger. 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. (c) For which x distribution is P(6.00 < x < 10.00) 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 larger. The distribution with n = 49 because the standard deviation will be smaller. The distribution with n = 81 because the standard deviation will be smaller.
Suppose an x-distribution has mean μ = 8. 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, μ x = For n = 81, μ x = (b) For which x distribution is P(x > 10.00) smaller? Explain your answer. The distribution with n = 81 because the standard deviation will be larger. 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. (c) For which x distribution is P(6.00 < x < 10.00) 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 larger. The distribution with n = 49 because the standard deviation will be smaller. The distribution with n = 81 because the standard deviation will be smaller.
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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Suppose an x-distribution has mean μ = 8.
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, μ x =
For n = 81, μ x =
(b)
For which x distribution is P(x > 10.00) smaller? Explain your answer.
The distribution with n = 81 because the standard deviation will be larger.
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.
(c)
For which x distribution is
P(6.00 < x < 10.00) 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 larger. The distribution with n = 49 because the standard deviation will be smaller.
The distribution with n = 81 because the standard deviation will be smaller.
Transcribed Image Text:Suppose an x-distribution has mean u
= 8. 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?
49,
For n =
For n =
81, Hx
(b)
For which x distribution is P(x > 10.00) smaller? Explain your answer.
The distribution with n = 81 because the standard deviation will be larger.
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.
(c)
For which x distribution is P(6.00 < x < 10.00) 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 larger.
The distribution with n = 49 because the standard deviation will be smaller.
The distribution with n = 81 because the standard deviation will be smaller.
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