The level of cholesterol in the blood for all men aged 20 to 34 follows a Normal distribution with mean HM = 188milligrams per deciliter (mg/dl) and standard deviation or = 41 mg/dl. For 14-year-old boys, blood cholesterol levelsfollow a Normal distribution with mean = 170 mg/dl and standard deviation og = 30 mg/dl. Suppose we selectindependent SRSS of 25 men aged 20 to 34 and 36 boys aged 14 and calculate the sample mean cholesterol levels iM andWhat 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 themen and the boys.to O O OO

The sampling distribution of a statistic is known as the probability distribution of all the…

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

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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

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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