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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 = 5 minutes and a = 0.8 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 minutes minutes x = (b) Repeat part (a) for a sample of size of n = 20 and again for a sample of size n = 100. (Round your answers to three decimal places.) n = 20 n = 100 x = Jy = 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--- Need Help? minutes minutes Read It (c) Which of the sample sizes in part (b) would be most likely to result in an x value close to #, 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--- ✓, and the standard deviations (and therefore spreads) f these distributions are ---Select--- Watch It of the distribution of x. three decimal places.)

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 = 5 minutes and a = 0.8 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 minutes minutes x = (b) Repeat part (a) for a sample of size of n = 20 and again for a sample of size n = 100. (Round your answers to three decimal places.) n = 20 n = 100 x = Jy = 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--- Need Help? minutes minutes Read It (c) Which of the sample sizes in part (b) would be most likely to result in an x value close to #, 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--- ✓, and the standard deviations (and therefore spreads) f these distributions are ---Select--- Watch It of the distribution of x. three decimal places.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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7. ANSWER A,B PLEASE!

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 = 5 minutes and σ = 0.8 minutes, respectively. (a) If x is the sample mean time for a random sample of n = 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 = X minutes minutes o x = (b) Repeat part (a) for a sample of size of n = 20 and again for a sample of size n = 100. (Round your answers to three decimal places.) n = 20 μx = 0x = n = 100 μx = o x = 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--- Need Help? minutes minutes Read It (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--- I Watch It and the standard deviations (and therefore spreads) of these distributions are --Select--- of the distribution of X.
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 = 5 minutes and σ = 0.8 minutes, respectively. (a) If x is the sample mean time for a random sample of n = 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 = X minutes minutes o x = (b) Repeat part (a) for a sample of size of n = 20 and again for a sample of size n = 100. (Round your answers to three decimal places.) n = 20 μx = 0x = n = 100 μx = o x = 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--- Need Help? minutes minutes Read It (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--- I Watch It and the standard deviations (and therefore spreads) of these distributions are --Select--- of the distribution of X.
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