SOLUTION: A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of size 100 is selected and is used to estimate μ .
1. What is the pr
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1. What is the pr
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Question 496644: A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of size 100 is selected and is used to estimate μ .
1. What is the probability that the sample mean will be within +/- 5 of the population mean (to 4 decimals)?
2. What is the probability that the sample mean will be within +/- 10 of the population mean (to 4 decimals)? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A population has a mean of 200 and a standard deviation of 50.
Suppose a simple random sample of size 100 is selected and is
used to estimate μ .
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1. What is the probability that the sample mean will be within +/- 5 of the population mean (to 4 decimals)?
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z(195) = (195-200)/50 = -0.1
z(205) = (205-200)/50 = +0.1
P(195 < x < 205) = p(-0.1 < z < 0.1) = 0.0797
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2. What is the probability that the sample mean will be within +/- 10 of the population mean (to 4 decimals)?
Do the same using 190 and 210
Ans: 0.1585
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Cheers,
Stan H.
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