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Let x denote the time (in minutes) that it takes a fifth-grade student to read a certain passage. Suppose that the mean value and standard deviation of x are μ = 2 minutes and = 0.5 minutes, respectively. (a) Ifx is the sample mean time for a random sample of n = 9 students, where is the sampling distribution of x centered, and how much does it spread out around the center (as described by its standard deviation)? (Round your answers to three decimal places.) Hx= σx = minutes minutes (b) Repeat part (a) for a sample of size of n = 40 and again for a sample of size n = 100. (Round your answers to three decimal places.) n = 40 μx = o x = n = 100 μx = ox= minutes minutes minutes minutes How do the centers and variability of the three x distributions compare to one another? The centers of the distributions of the sample mean are ---Select--- ---Select--- and the standard deviations (and therefore spreads) of these distributions are (c) Which of the sample sizes in part (b) would be most likely to result in an x value close to μ, and why? A sample size of n = ---Select--- is most likely to result in a sample mean close to μ, since this is the sample size that results in the ---Select--- of x. ✓of the distribution

Let x denote the time (in minutes) that it takes a fifth-grade student to read a certain passage. Suppose that the mean value and standard deviation of x are μ = 2 minutes and = 0.5 minutes, respectively. (a) Ifx is the sample mean time for a random sample of n = 9 students, where is the sampling distribution of x centered, and how much does it spread out around the center (as described by its standard deviation)? (Round your answers to three decimal places.) Hx= σx = minutes minutes (b) Repeat part (a) for a sample of size of n = 40 and again for a sample of size n = 100. (Round your answers to three decimal places.) n = 40 μx = o x = n = 100 μx = ox= minutes minutes minutes minutes How do the centers and variability of the three x distributions compare to one another? The centers of the distributions of the sample mean are ---Select--- ---Select--- and the standard deviations (and therefore spreads) of these distributions are (c) Which of the sample sizes in part (b) would be most likely to result in an x value close to μ, and why? A sample size of n = ---Select--- is most likely to result in a sample mean close to μ, since this is the sample size that results in the ---Select--- of x. ✓of the distribution

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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Let x denote the time (in minutes) that it takes a fifth-grade student to read a certain passage. Suppose that the mean value and standard deviation of x are μ = 2 minutes and = 0.5 minutes, respectively. (a) If x is the sample mean time for a random sample of n = 9 students, where is the sampling distribution of x centered, and how much does it spread out around the center (as described by its standard deviation)? (Round your answers to three decimal places.) μx = oz minutes minutes (b) Repeat part (a) for a sample of size of n = 40 and again for a sample of size n = 100. (Round your answers to three decimal places.) n = 40 H x = ox= n = 100 Hy = ox= minutes minutes minutes minutes How do the centers and variability of the three x distributions compare to one another? The centers of the distributions of the sample mean are ---Select--- ---Select--- v. ✓, and the standard deviations (and therefore spreads) of these distributions are (c) Which of the sample sizes in part (b) would be most likely to result in an x value close to μ, and why? A sample size of n = ---Select--- is most likely to result in a sample mean close to μ, since this is the sample size that results in the --Select--- of x. of the distribution
Transcribed Image Text:Let x denote the time (in minutes) that it takes a fifth-grade student to read a certain passage. Suppose that the mean value and standard deviation of x are μ = 2 minutes and = 0.5 minutes, respectively. (a) If x is the sample mean time for a random sample of n = 9 students, where is the sampling distribution of x centered, and how much does it spread out around the center (as described by its standard deviation)? (Round your answers to three decimal places.) μx = oz minutes minutes (b) Repeat part (a) for a sample of size of n = 40 and again for a sample of size n = 100. (Round your answers to three decimal places.) n = 40 H x = ox= n = 100 Hy = ox= minutes minutes minutes minutes How do the centers and variability of the three x distributions compare to one another? The centers of the distributions of the sample mean are ---Select--- ---Select--- v. ✓, and the standard deviations (and therefore spreads) of these distributions are (c) Which of the sample sizes in part (b) would be most likely to result in an x value close to μ, and why? A sample size of n = ---Select--- is most likely to result in a sample mean close to μ, since this is the sample size that results in the --Select--- of x. of the distribution
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