SOLUTION: Given the following observations in a simple random sample from a population that is normally distributed, construct and interpret the 90% and 95% confidence intervals for the mean

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Question 803028: Given the following observations in a simple random sample from a population that is normally distributed, construct and interpret the 90% and 95% confidence intervals for the mean:
67 79 71 74 70 59 70
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given the following observations in a simple random sample from a population that is normally distributed, construct and interpret the 90% and 95% confidence intervals for the mean:
67 79 71 74 70 59 70
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sample mean:: 70
std = 6.16
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E for the 90% CI = 1.645*6.16/sqrt(7) = 3.83
E for the 95% CI = 1.96*6.17/sqrt(7) = 4.56
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90% CI: 70-3.83 < u < 70+3.83
Interp:: We are 90% confident the population mean is between those 2 numbers.
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95% CI: 70-4.56 < u < 70+4.56
Interp:: We are 95 % confident the population nean is between those 2 numbers.
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Cheers,
Stan H.
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Ch