A variable of a population has a mean of μ = 200 and a standard deviation of o = 28.a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with meanb. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration?A. Uniform distribution.B. No assumption was made.C. Normal distribution.c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not?A. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.B. No, the sampling distribution of the sample mean is never normal for sample size less than 30.and standard deviationC. Yes, the sampling distribution of the sample mean is always normal.

Population mean μ =200 Population standard deviation =28 Sample size n =49

Answered: A variable of a population has a mean…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Use these statements for 8-10. Suppose x has a distribution with a mean of 13.9 and a standard deviation of 2.1. Random samples of size n=49 are drawn What would be the mean and standard deviation of the distribution?
A variable of a population has a mean of μ = 250 and a standard deviation of σ = 35. a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration? O A. Normal distribution. O B. Uniform distribution. O C. No assumption was made. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? O A. Yes, the sampling distribution of the sample mean is always normal. O B. No, the sampling distribution of the sample mean is never normal for sample size less than 30. and standard deviation O C. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.
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
A variable of a population has a mean of μ=100 and a standard deviation of σ=35 a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean and standard deviation . b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration?A. No assumption was made.B. Normal distribution.C. Uniform distribution. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not?A. Yes, the sampling distribution of the sample mean is always normal.B. No, the sampling distribution of the sample mean is never normal for sample size less than 30.C. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.
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A variable of a population has a mean of μ=100 and a standard deviation of σ=42 a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean ____ and standard deviation ____ b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration?A. Normal distribution.B. No assumption was made.C. Uniform distribution. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not?A. No, the sampling distribution of the sample mean is never normal for sample size less than 30.B. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.C. Yes, the sampling distribution of the sample mean is always normal.
B Choosing a topic Sk.. For data that is not normally distributed we can't use z-scores. However, there is an equation that works on any distribution. It's called Chebyshev's formula. The formula 1 where p is the minimum percentage of scores that fall within k k2 is p = 1 - standard deviations on both sides of the mean. Use this formula to answer the following questions. a) If you have scores and you don't know if they are normally distributed, find the minimum percentage of scores that fall within 2.2 standard deviations on both sides of the mean? b) If you have scores that are normally distributed, find the percentage of scores that fall within 2.2 standard deviations on both sides of the mean? c) If you have scores and you don't know if they are normally distributed, how many standard deviations on both sides of the mean do we need to go to have 64 percent of the scores? Note: To answer part c you will need to solve the equation for k.
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