SOLUTION: the height(inches) of the students on a campus is assumed to have a normal distribution with a sample standard deviation of 4 inches. A random sample of 49 students was taken with

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Question 317916: the height(inches) of the students on a campus is assumed to have a normal distribution with a sample standard deviation of 4 inches. A random sample of 49 students was taken with a sample mean of 60 inches. The 95% confidence interval for the population mean µ is :
A. 55.33-64.33
B. 58.88-61.12
C. 60.58-63.45
D. None of the above

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the height(inches) of the students on a campus is assumed to have a normal distribution with a sample standard deviation of 4 inches.
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A random sample of 49 students was taken with a sample mean of 60 inches. The 95% confidence interval for the population mean µ is ?
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sample mean: 60
ME = (invT(0.975 with df=48)*4/sqrt(49)
ME = 2.0106*(4/7) = 1.148
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95% CI: 60-01.148 < u < 61.148
95% CI: 58.85 < u < 61.15
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Cheers,
Stan H.
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A. 55.33-64.33
B. 58.88-61.12
C. 60.58-63.45
D. None of the above