(4) Which of the following is a property of the Sampling Distribution of X?A. If you increase your sample size, X will always get closer to µi, the populationmean.B. The standard deviation of the sample mean is the same as the standard devi-ation from the original population o.C. The mean of the sampling distribution of X is a, the population mean.D. X always has a Normal distribution.

Answered: (4) Which of the following is a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Look at this histogram of heights from the GSS, which happens to be a case where a variable is relatively close to Normally-distributed (Normal curve laid atop for reference). Although it is tough to “eyeball” standard deviations, I am going to give you a list of values that could possibly describe one standard deviation of this distribution. Only one is even in the “ballpark”. Please select it based on your knowledge of Normal distributions. a. One inch b. Four inches c. 20 inches d. 50 inches
A population of N = 5 scores has a mean of u = 20 and a standard deviation of o = 4. Which of the following is the correct Interpretation of the standard deviation? O The average distance of scores from the mean of p- 20 is 5 points. O The average distance of scores from the mean of u = 20 is 1 point. The average distance of scores from the mean of u = 20 is 4 points. O The average squared distance of scores from the mean of u = 20 is 4 points.
In a normal distribution, x = 5 and z = –1.4. This tells you that x = 5 is ____ standard deviations to the ____ (right orleft) of the mean.
f the standard deviation of a normally distributed population is 22.0 and we take a sample of size 4, then the standard error of the mean is
The standard deviation of a population A. Is the average of the squared deviations between each of the data points and the mean B. Is the average distance from each of the data points to the population's mean C. Is impossible to calculate D. Is only for statisticians E. All of the above F. None of the above
Suppose you take a random sample of n = 80 Douglas College students and ask each student their age. You find that the mean age of students in this sample is X = 22.0375 years and the sample standard deviation is s = 3.2014 years. Which of the following are sufficient conditions and are also true (to the best of our knowledge) for this study of Douglas College students’ ages? Select all that apply. A. X is normal variable B. n is greater or equal to 30 C. nq is greater or equal to 5 D. np is greater or equal to 5
Q1.2 Standard Deviation of Sampling Distribution of x-bar Suppose the distribution of cholesterol levels in a population of men is approximately normally distributed with a mean of 200 mg/dL and a standard deviation of 32 mg/dL. What is the standard deviation of the sampling distribution of for n=25? Write your answer as a decimal value rounded to four decimal places. (Don't put any text or supporting work! Just the numeric value.)
Which of the following is the best statement of the Law of Large Numbers? If the parent population (from which the data are drawn) is normally distributed, then the sample mean, , will follow a normal distribution. For bell-shaped data, approximately 68% of the data will be within one standard deviation of the mean, about 95% of the data will be within two standard deviations of the mean, and approximately 99.7% of the data will be within three standard deviations of the mean. If the sample size is large, the sample mean will be close to the population mean µ If the sample size is large, the shape of the sampling distribution of the sample mean will be approximately normal.
Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard deviation, σ, equal to 14. Approximately what percent of the population would be between 116 and 130? 1. 47.5% 2. 34.% 3. 68% 4. 81.5% 5. 13.5 6. 95%
Now find ? + ?. Recall that ? represents the standard deviation. For a normal curve, as we have here, a point three standard deviations to the right of center will be located at the point where the curve is nearly touching the horizontal axis. Observing the graph of the normal curve we see that the point three standard deviations to the right of center is located atx = 91. Therefore, x = 88 is two standard deviations to the right of center and x = is one standard deviation to the right of center.We previously determined that ? = . So, ? + ? = .

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