The weights of cans of Ocean brand tuna are supposed to have a net weight of 6 ounces. The manufacturer tells you that the net weight is actually a Normal random variable with a mean of 5.95 ounces and a standard deviation of 0.2 ounces. Suppose that you draw a random sample of 42 cans. Part i) Suppose the number of cans drawn is doubled. How will the standard deviation of sample mean weight change? A. It will decrease by a factor of √2. B. It will increase by a factor of √2. C. It will increase by a factor of 2 D. It will decrease by a factor of 2. E. It will remain unchanged. Part i) Suppose the number of cans drawn A. It will increase by a factor of √/2. B. It will decrease by a factor of 2. C. It will increase by a factor of 2. D. It will decrease by a factor of √/2 E. It will remain unchanged. doubled. How will the mean of the sample mean weight change? Part iii) Consider the statement: "The distribution of the mean weight of the sampled cans of Ocean brand tuna is Normal." A. It is a correct statement, but it is not a result of the Central Limit Theorem. B. It is a correct statement, and it is a result of the Central Limit Theorem. C. It is an incorrect statement. The distribution of the mean weight of the sample is not Normal.

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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Transcribed Image Text:The weights of cans of Ocean brand tuna are supposed to have a net weight of 6 ounces. The manufacturer tells you that the net weight is actually a Normal random variable with a mean of 5.95 ounces and a standard deviation of 0.2 ounces. Suppose that you draw a random sample of 42 cans. Parti) Suppose the number of cans drawn is doubled. How will the standard deviation sample mean weight change? A. It will decrease by a factor of √2. B. It will increase by a factor of √2. C. It will increase by a factor of 2. D. It will decrease by a factor of 2. E. It will remain unchanged. Part ii) Suppose the number of cans drawn is doubled. How will the mean of the sample mean weight change? ▸ A. It will increase by a factor of √2. B. It will decrease by a factor of 2. C. It will increase by a factor of 2. D. It will decrease by a factor of √2. E. It will remain unchanged. Part iii) Consider the statement: The distribution of the mean weight of the sampled cans of Ocean brand tuna is Normal." A. It is a correct statement, but it is not a result of the Central Limit Theorem. B. It is a correct statement, and it is a result of the Central Limit Theorem. C. It is an incorrect statement. The distribution of the mean weight of the sample is not Normal.

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