Specify whether the following statements are "TRUE" or "FALSE" A. When a random sample is to be taken from a population and a statistic is to be computed, the statistic can also be thought of as random variable. ["", ""] B. If the size of a sample randomly selected sample from a population is increased from n = 100 to n = 400, then the standard deviation of will decrease by a factor of 2. ["", ""] C. If the sample size (n) is large, and the sample is a random sample, then the distribution of the sample proportion is approximately

Specify whether the following statements are "TRUE" or "FALSE" A. When a random sample is to be taken from a population and a statistic is to be computed, the statistic can also be thought of as random variable. ["", ""] B. If the size of a sample randomly selected sample from a population is increased from n = 100 to n = 400, then the standard deviation of will decrease by a factor of 2. ["", ""] C. If the sample size (n) is large, and the sample is a random sample, then the distribution of the sample proportion is approximately

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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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.
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.
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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 mean b. 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 deviation C. Yes, the sampling distribution of the sample mean is always normal.
In a random sample of five observations, you obtained the following values for variable X. Whats the sample standard deviation
What is the difference between s and o- ? O A. s is the standard deviation of a sample, and o- is the standard deviation of the population that the sample came from O B. s and o- are the same standard deviation O C.s is the standard deviation of all samples and o- is the standard deviation of a single sample O D.s is the standard deviation of a sample, and o- is the standard deviation of all sample means O E. s is the standard deviation of the population and 0 – is the standard deviation of all sample means
Which of the following is not one of the assumptions made in the analysis of variance? O A. None of these O B. The different populations all have the same mean. O C. The different populations all have the same standard deviation o O D. The distribution of the response variable is a normal. O E. Each sample is an independent random sample.