The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 109 pounds and a standard deviation of 38.3 pounds. Random samples of size 15 are drawn from this population and the mean of each sample is determined.
Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution.
The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of
109
pounds and a standard deviation of
38.3
pounds. Random samples of size
15
are drawn from this population and the mean of each sample is determined.
μx=nothing
σx=nothing
(Round to three decimal places as needed.)
Sketch a graph of the sampling distribution. Choose the correct graph below.
A.
109 89.2128.8
x
A normal curve is over a horizontal x overbar axis labeled from 89.2 to 128.8 and is centered on 109.
B.
9.9 -99.1118.9
x
A normal curve is over a horizontal x overbar axis labeled from negative 99.1 to 118.9 and is centered on 9.9.
C.
9.9 -317.1336.9
x
A normal curve is over a horizontal x overbar axis labeled from negative 317.1 to 336.9 and is centered on 9.9.
D.
109 79.3138.7
x
A normal curve is over a horizontal x overbar axis labeled from 79.3 to 138.7 and is centered on 109.
Click to select your answer(s).
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