Question 346163: Can you tell me how to figure this out: For a random sample of size 4, determine probability the mean wealth of the four people obtained will be within 2 of the population mean. Population mean is 25.5. The following is the data:
Sample Wealth x
A,B,G,P 26,31,41,20 29.5
A,B,G,E 26,31,41,17 28.75
A,B,G,T 26,31,41,18 29
A,B,P,E 26,31,20,17 23.5
A,B,P,T 26,31,20,18 23.75
A,B,E,T 26,31,17,18 23
A,G,P,E 26,41,20,17 26
A,G,P,T 26,41,20,18 26.25
A,G,E,T 26,41,17,18 25.5
A,P,E,T 26,20,17,18 20.25
B,G,P,E 31,41,20,17 27.25
B,G,P,T 31,41,20,18 27.5
B,G,E,T 31,41,17,18 26.75
B,P,E,T 31,20,17,18 21.5
G,P,E,T 41,20,17,18 24
The answer I came up with is 4/15 = 0.27 or 27% - is that correct? Thank you for your help.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! For a random sample of size 4, determine probability the mean wealth of the four people obtained will be within 2 of the population mean. Population mean is 25.5. The following is the data:
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You want 23.5 <= x <= 27.5
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Sample Wealth x
A,B,G,P 26,31,41,20 29.5
A,B,G,E 26,31,41,17 28.75
A,B,G,T 26,31,41,18 29
A,B,P,E 26,31,20,17 23.5------
A,B,P,T 26,31,20,18 23.75-----
A,B,E,T 26,31,17,18 23
A,G,P,E 26,41,20,17 26--------
A,G,P,T 26,41,20,18 26.25-----
A,G,E,T 26,41,17,18 25.5------
A,P,E,T 26,20,17,18 20.25
B,G,P,E 31,41,20,17 27.25-----
B,G,P,T 31,41,20,18 27.5------
B,G,E,T 31,41,17,18 26.75-----
B,P,E,T 31,20,17,18 21.5
G,P,E,T 41,20,17,18 24
The answer I came up with is 4/15 = 0.27 or 27% - is that correct? Thank you for your help.
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It looks like 8/15 to me.
Cheers,
Stan H.
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