According to one study, brain weights of men are normally distributed with a mean of 1.60 kg and a standard deviation of 0.13 kg. Use the data to answerparts (a) through (e).Click here to view page 1 of the table of areas under the standard normal curve.Click here to view page 2 of the table of areas under the standard normal curve.n = 12n = 3РоpРop1.61.61.61.6d. Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.60 kg.Interpret your answer in terms of sampling error.85 %(Round to two decimal places as needed.)This is the percentage that the sampling error made in estimatingthe mean brain weight of all menby that ofa sample of three menwill be at most 0.1 kg.e. Repeat part (d) for samples of size 12.The percentage of all samples of 12 men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.60 kg is 99.61 %.(Round to two decimal places as needed.)This is the percentage that the sampling error made in estimatingthe mean brain weight of all menby that ofa sample of 12 menwill be at most 0.1 kg. A variable of a population has a mean of u = 82 and a standard deviation of o = 18.a. Identify the sampling distribution of the sample mean for samples of size 36.b. In answering part (a), what assumptions did you make about the distribution of the variable?c. Can you answer part (a) if the sample size is 16 instead of 36? Why or why not?a. What is the shape of the sampling distribution?uniformbimodalnormalskewedWhat is the mean of the sampling distribution?= 82 (Simplify your answer.)What is the standard deviation of the sampling distribution?o; = 2 (Simplify your answer.)X

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A variable of a population has a mean of µ = 82 and a standard deviation of G = 18. a. Identify the sampling distribution of the sample mean for samples of size 36. b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 16 instead of 36? Why or why not? a. What is the shape of the sampling distribution? O uniform O bimodal normal O skewed What is the mean of the sampling distribution? H; = 82 (Simplify your answer.) What is the standard deviation of the sampling distribution? 6: = 2 (Simplify your answer.)

A variable of a population has a mean of µ = 82 and a standard deviation of G = 18. a. Identify the sampling distribution of the sample mean for samples of size 36. b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 16 instead of 36? Why or why not? a. What is the shape of the sampling distribution? O uniform O bimodal normal O skewed What is the mean of the sampling distribution? H; = 82 (Simplify your answer.) What is the standard deviation of the sampling distribution? 6: = 2 (Simplify your answer.)

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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A variable of a population has a mean of µ = 82 and a standard deviation of o = 9. a. Identify the sampling distribution of the sample mean for samples of size 81. b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 25 instead of 81? Why or why not? a. What is the shape of the sampling distribution? normal uniform skewed O bimodal What is the mean of the sampling distribution? Hi = (Simplify your answer.) What is the standard deviation of the sampling distribution? (Simplify your answer.) b. In answering part (a), what assumptions did you make about the distribution of the variable? A. It was assumed that the variable was normally distributed. B. No assumptions were made because, for a relatively large sample size, the sampling distribution is normal, regardless of the distribution of the variable under consideratio
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