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Suppose that we will randomly select a sample of 64 measurements from a population having a mean equal to 18 and a standard deviation equal to 5. (a) Describe the shape of the sampling distribution of the sample mean x. Do we need to make any assumptions about the shape of the population? Why or why not? , because the sample size is (b) Find the mean and the standard deviation of the sampling distribution of the sample meanx. (Round your answer to 1 decimal place.) FAR OX (c) Calculate the probability that we will obtain a sample mean greater than 20; that is, calculate P(x > 20). Hint: Find the z value corresponding to 20 by using u; and a; because we wish to calculate a probability about x. (Use the rounded standard error to compute the rounded Z-score used to find the probability. Round your answer to 4 decimal places. Round z-scores to 2 decimal places.)

Suppose that we will randomly select a sample of 64 measurements from a population having a mean equal to 18 and a standard deviation equal to 5. (a) Describe the shape of the sampling distribution of the sample mean x. Do we need to make any assumptions about the shape of the population? Why or why not? , because the sample size is (b) Find the mean and the standard deviation of the sampling distribution of the sample meanx. (Round your answer to 1 decimal place.) FAR OX (c) Calculate the probability that we will obtain a sample mean greater than 20; that is, calculate P(x > 20). Hint: Find the z value corresponding to 20 by using u; and a; because we wish to calculate a probability about x. (Use the rounded standard error to compute the rounded Z-score used to find the probability. Round your answer to 4 decimal places. Round z-scores to 2 decimal places.)

MATLAB: An Introduction with Applications
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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Suppose that we will randomly select a sample of 64 measurements from a population having a mean equal to 18 and a standard deviation equal to 5. (a) Describe the shape of the sampling distribution of the sample mean x. Do we need to make any assumptions about the shape of the population? Why or why not? (b) Find the mean and the standard deviation of the sampling distribution of the sample mean x. (Round your answer to 1 decimal place.) UR OX because the sample size is (c) Calculate the probability that we will obtain a sample mean greater than 20; that is, calculate P(x > 20). Hint: Find the z value corresponding to 20 by using u; and a because we wish to calculate a probability about x. (Use the rounded standard error to compute the rounded Z-score used to find the probability. Round your answer to 4 decimal places. Round z-scores to 2 decimal places.) P(X > 20)
Transcribed Image Text:Suppose that we will randomly select a sample of 64 measurements from a population having a mean equal to 18 and a standard deviation equal to 5. (a) Describe the shape of the sampling distribution of the sample mean x. Do we need to make any assumptions about the shape of the population? Why or why not? (b) Find the mean and the standard deviation of the sampling distribution of the sample mean x. (Round your answer to 1 decimal place.) UR OX because the sample size is (c) Calculate the probability that we will obtain a sample mean greater than 20; that is, calculate P(x > 20). Hint: Find the z value corresponding to 20 by using u; and a because we wish to calculate a probability about x. (Use the rounded standard error to compute the rounded Z-score used to find the probability. Round your answer to 4 decimal places. Round z-scores to 2 decimal places.) P(X > 20)
(c) Calculate the probability that we will obtain a sample mean greater than 20; that is, calculate P(x > 20). Hint: Find the z value corresponding to 20 by using μ; and o; because we wish to calculate a probability about x. (Use the rounded standard error to compute the rounded Z-score used to find the probability. Round your answer to 4 decimal places. Round z-scores to 2 decimal places.) P(X>20) (d) Calculate the probability that we will obtain a sample mean less than 17.564; that is, calculate P(x <17.564) (Use the rounded standard error to compute the rounded Z-score used to find the probability. Round your answer to 4 decimal places. Round z- scores to 2 decimal places.) P(X< 17.564) < Prev 4 of 20 # MacBook Pro Search or type URL Next >
Transcribed Image Text:(c) Calculate the probability that we will obtain a sample mean greater than 20; that is, calculate P(x > 20). Hint: Find the z value corresponding to 20 by using μ; and o; because we wish to calculate a probability about x. (Use the rounded standard error to compute the rounded Z-score used to find the probability. Round your answer to 4 decimal places. Round z-scores to 2 decimal places.) P(X>20) (d) Calculate the probability that we will obtain a sample mean less than 17.564; that is, calculate P(x <17.564) (Use the rounded standard error to compute the rounded Z-score used to find the probability. Round your answer to 4 decimal places. Round z- scores to 2 decimal places.) P(X< 17.564) < Prev 4 of 20 # MacBook Pro Search or type URL Next >
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