The level of cholesterol in the blood for all men aged 20 to 34 follows a Normal distribution with mean HM = 188 milligrams per deciliter (mg/dl) and standard deviation oy = 41 mg/dl. For 14-year-old boys, blood cholesterol levels follow a Normal distribution with mean B %3D 170 mg/dl and standard deviation og = 30 mg/dl. Suppose we select independent SRS: of 25 men aged 20 to 34 and 36 boys aged 14 and calculate the sample mean cholesterol levels iy and

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The level of cholesterol in the blood for all men aged 20 to 34 follows a Normal distribution with mean HM = 188
milligrams per deciliter (mg/dl) and standard deviation or = 41 mg/dl. For 14-year-old boys, blood cholesterol levels
follow a Normal distribution with mean = 170 mg/dl and standard deviation og = 30 mg/dl. Suppose we select
independent SRSS of 25 men aged 20 to 34 and 36 boys aged 14 and calculate the sample mean cholesterol levels iM and
What is the shape of the sampling distribution of x-Xg? Why?
The shape of the distribution of M-X3 is unknown because of sampling variability.
O The shape of the distribution of XM -Xs is uniform because the sample sizes are small.
O The shape of the distribution of XM-Xg is Normal because both population distributions are Normal.
O The shape of the distribution of XM - XB is skewed right because blood cholesterol levels cannot be negative.
O The shape of the distribution of M- XB is skewed left because we are finding the difference in the means for the
men and the boys.
to O O OO
Transcribed Image Text:The level of cholesterol in the blood for all men aged 20 to 34 follows a Normal distribution with mean HM = 188 milligrams per deciliter (mg/dl) and standard deviation or = 41 mg/dl. For 14-year-old boys, blood cholesterol levels follow a Normal distribution with mean = 170 mg/dl and standard deviation og = 30 mg/dl. Suppose we select independent SRSS of 25 men aged 20 to 34 and 36 boys aged 14 and calculate the sample mean cholesterol levels iM and What is the shape of the sampling distribution of x-Xg? Why? The shape of the distribution of M-X3 is unknown because of sampling variability. O The shape of the distribution of XM -Xs is uniform because the sample sizes are small. O The shape of the distribution of XM-Xg is Normal because both population distributions are Normal. O The shape of the distribution of XM - XB is skewed right because blood cholesterol levels cannot be negative. O The shape of the distribution of M- XB is skewed left because we are finding the difference in the means for the men and the boys. to O O OO
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