Construct a sampling distribution for the mean by listing the sample means and their corresponding probabilities

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The data in the table represent the ages of the winners of an award for the past five years. Use the data to answer questions​ (a) through​ (e).
 
46
64
 
 
56
51
 
 
46
 
 
​(a) Compute the population​ mean,
μ.
μ=52.652.6
​(b) Compute the mean for all
5C2=10
samples with size
n=2.
Sample
Sample Mean
 
Sample
Sample Mean
46​,64
5555
64​,51
57.557.5
46​,56
5151
64​,46
5555
46​,51
48.548.5
56​,51
53.553.5
46​,46
4646
56​,46
5151
64​,56
6060
51​,46
48.548.5
​(c) Construct a sampling distribution for the mean by listing the sample means and their corresponding probabilities.
Give all the unique sample means in ascending order. ​(Type N if there is no​ solution.)
 
 
Sample Mean
Probability
 
Sample Mean
Probability
1
nothing
nothing
6
nothing
nothing
2
nothing
nothing
7
nothing
nothing
3
nothing
nothing
8
nothing
nothing
4
nothing
nothing
9
nothing
nothing
5
nothing
nothing
10
nothing
nothing
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