Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally​ distributed, with a mean of 102 pounds and a standard deviation of 37.8 pounds. Random samples of size 15 are drawn from this population and the mean of each sample is determined. Question content area bottom Part 1 μx=enter your response here Part 2 σx=enter your response here ​(Round to three decimal places as​ needed.) Part 3 Sketch a graph of the sampling distribution. Choose the correct graph below. A. 102 82.5121.5 x A normal curve is over a horizontal x overbar axis labeled from 82.5 to 121.5 and is centered on 102. B. 102 72.7131.3 x A normal curve is over a horizontal x overbar axis labeled from 72.7 to 131.3 and is centered on 102. C. 9.8 -296.2315.8 x A normal curve is over a horizontal x overbar axis labeled from negative 296.2 to 315.8 and is centered on 9.8. D. 9.8 -92.2111.8 x

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution.
 
The per capita consumption of red meat by people in a country in a recent year was normally​ distributed, with a mean of
102
pounds and a standard deviation of
37.8
pounds. Random samples of size
15
are drawn from this population and the mean of each sample is determined.
 
 
 

Question content area bottom

Part 1
μx=enter your response here
Part 2
σx=enter your response here
​(Round to three decimal places as​ needed.)
Part 3
Sketch a graph of the sampling distribution. Choose the correct graph below.
 
 
A.
 
 
 
 
 
102    82.5121.5
x
 
  •  
  •  
  •  
A normal curve is over a horizontal x overbar axis labeled from 82.5 to 121.5 and is centered on 102.
 
B.
 
 
 
 
 
102    72.7131.3
x
 
  •  
  •  
  •  
A normal curve is over a horizontal x overbar axis labeled from 72.7 to 131.3 and is centered on 102.
 
C.
 
 
 
 
 
9.8    -296.2315.8
x
 
  •  
  •  
  •  
A normal curve is over a horizontal x overbar axis labeled from negative 296.2 to 315.8 and is centered on 9.8.
 
D.
 
 
 
 
 
9.8    -92.2111.8
x
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