Which of the following statements about the sampling distribution of the sample mean is not true? a.The sampling distribution of the sample mean is approximately normal whenever the sample size is sufficiently large. b.The sampling distribution of the sample mean is generated by repeatedly taking samples of size n and computing the sample means. c.The standard deviation of the sampling distribution of the sample mean is equal to the population standard deviation divided by the sample size. d.The mean of the sampling distribution of the sample mean is equal to the population mean. e.none of the above.

Population is the whole data that are used for the study. If the population is larger, then the…

Answered: Which of the following statements about…

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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Consider a sampling distribution with p=0.11 and samples of size n each. Using the appropriate formulas, find the mean and the standard deviation of the sampling distribution of the sample proportion. a. For a random sample of size n = 4000. b. For a random sample of size n = 1000. c. For a random sample of size n = 500.
Which of the following is true regarding the sampling distribution of the mean for a large sample size? O It has a normal distribution with the same mean and standard deviation as the population. O It has the same shape, mean, and standard deviation as the population. O It has the same shape and mean as the population, but has a smaller standard deviation. O It has a normal distribution with the same mean as the population but with a smaller standard deviation.
A simple random sample is taken from a population and yields the following data for a variable of the population. 10 38 17 33 31 12 12 17 31 27 Find a point estimate for the population mean (that is, the mean of the variable). A point estimate for the population mean is. (Round to one decimal place as needed.)
For the population proportion is… (select answer) Skewed right Uniform Approximately normal Skewed left With the… (select answer) True population proportion True population mean True population standard deviation As it’s… (select answer) Proportion Mean Standard deviation
The annual salary for one particular occupation is normally distributed, with a mean of about $125,000 and a standard deviation of about $22,000. Random samples of 43 are drawn from this population, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means. Then, sketch a graph of the sampling distribution. The mean is μx= ___ and the standard deviation is σx= ____
1. Assuming a normal population distribution of X with population mean = 40 and population variance = 100, what is the mean of the sampling distribution of the mean and standard error of the mean using a sample size of 25? Mean = __________ Standard Error of the Mean = __________
For the following situation, find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population and find the mean of each. Find the mean and standard deviation of the sampling distribution and compare them with the mean and standard deviation of the population. The scores of three students in a study group on a test are 94, 93, 97. Use a sample size of 3. The mean of the population is (Round to two decimal places as needed.) C
42
Suppose your statistics instructor gave six examinations during the semester. You received the following exam scores (percent correct): 83, 76, 82, 84, 89, and 73. The instructor decided to randomly select two exam scores, compute their mean, and use this score to determine your final course grade. a. Compute the population mean. This is your average grade based on all of your grades. (Round your answer to 2 decimal places.) Population mean b. Compute the population standard deviation. (Round your answer to 2 decimal places.) Population standard deviation c. How many different scores could be calculated if your instructor decided to random sample two of your exam scores? Number of different samples

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	a.	The sampling distribution of the sample mean is approximately normal whenever the sample size is sufficiently large.
	b.	The sampling distribution of the sample mean is generated by repeatedly taking samples of size n and computing the sample means.
	c.	The standard deviation of the sampling distribution of the sample mean is equal to the population standard deviation divided by the sample size.
	d.	The mean of the sampling distribution of the sample mean is equal to the population mean.
	e.	none of the above.