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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Which statement(s) is/are TRUE? A. The mean of the sampling distribution of the sample mean is not affected by the sample size. B. The standard error of the sampling distribution of the mean is equal to the population standard deviation. both A and B B A neither A nor B
A variable of a population has a mean of u 200 and a standard deviation of o = 42. 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? 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. 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. O B. Yes, the sampling distribution of the sample mean is always normal. and standard deviation C. No, the sampling distribution of the sample mean is never normal for sample size less than 30.
In a Normal distribution, the Empirical Rule states that... ["", "", "", "", ""] of the data is within 1 standard deviation of the mean, ["", "", "", "", ""] of the data is within 2 standard deviation of the mean, and ["", "", "", "", ""] of the data is within 3 standard deviation of the mean.
Which of the statements below is true about the standard error of the sampling distribution of the sample mean. It measures the variabilty of the mean from sample to sample. It is less than the standard deviation of the population. All of the above. It decreases as the sample size increases.
The population mean mu is a measure of A. Central tendency of a sample B. Central tendency of a populationC. Dispersion of a population D. The uncertainty of a population E. None of the above
Which of the following is True about the Z-score of an observation? A. The Z-score of an observation is defined as the number of standard deviations from the mean. B. If the observation is twice as large as the mean, its Z-score is 1. C. The Z-score of an observation is a number between 0 and 1. D. If the observation is right at the mean, its Z-score is 1.
Which of the following are true? There is more than one correct answer.
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.
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.
Which statements regarding the mean and standard deviation are TRUE? I. As the number of measurements increases, approaches µ if there is no random error. II. The square of the standard deviation is the average deviation. III. The mean is the center of the Gaussian distribution. IV. The standard deviation measures the width of the Gaussian distribution. I and II ○ III and IV ○ II, III, and IV O I, III, and IV O I, II, and IV
Which of the following statements about sampling distributions is/are TRUE? A. The mean of the sampling distribution of the sample means is equal to the population mean. B. When sampling is done with replacement, the standard deviation of the sampling distribution of the sample means is the population standard deviation divided by the square root of the sample size. O Both A and B O A only ONeither A nor B OB only

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