A variable of a population has a mean of μ=70 and a standard deviation of σ=12.   a. Identify the sampling distribution of the sample mean for samples of size 36. b. In answering part​ (a), what assumptions did you make about the distribution of the​ variable? c. Can you answer part​ (a) if the sample size is 25 instead of 36​? Why or why​ not?       Question content area bottom Part 1 a. What is the shape of the sampling​ distribution?     uniform   bimodal   normal   skewed Part 2 What is the mean of the sampling​ distribution?   μx=enter your response here ​(Simplify your​ answer.) Part 3 What is the standard deviation of the sampling​ distribution?   σx=enter your response here ​(Simplify your​ answer.) Part 4 b. In answering part​ (a), what assumptions did you make about the distribution of the​ variable?     A. It was assumed that the distribution of the variable was unimodal.   B. No assumptions were made​ because, for a relatively large sample​ size, the sampling distribution is​ normal, re

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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A variable of a population has a mean of
μ=70
and a standard deviation of
σ=12.
 
a. Identify the sampling distribution of the sample mean for samples of size
36.
b. In answering part​ (a), what assumptions did you make about the distribution of the​ variable?
c. Can you answer part​ (a) if the sample size is
25
instead of
36​?
Why or why​ not?
 
 
 

Question content area bottom

Part 1
a. What is the shape of the sampling​ distribution?
 
 
uniform
 
bimodal
 
normal
 
skewed
Part 2
What is the mean of the sampling​ distribution?
 
μx=enter your response here
​(Simplify your​ answer.)
Part 3
What is the standard deviation of the sampling​ distribution?
 
σx=enter your response here
​(Simplify your​ answer.)
Part 4
b. In answering part​ (a), what assumptions did you make about the distribution of the​ variable?
 
 
A.
It was assumed that the distribution of the variable was unimodal.
 
B.
No assumptions were made​ because, for a relatively large sample​ size, the sampling distribution is​ normal, re
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