Homework Help is Here – Start Your Trial Now!
Math
Statistics
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 = 4 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.) minutes minutes ax= = (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 ax= n 100 Ay- a = 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-- , and the standard deviations (and therefore spreads) of these distributions are ---Select--- (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 , since this is the sample size that results in the ---Select--- of the distribution of x.

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 = 4 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.) minutes minutes ax= = (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 ax= n 100 Ay- a = 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-- , and the standard deviations (and therefore spreads) of these distributions are ---Select--- (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 , since this is the sample size that results in the ---Select--- of the distribution of x.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
See similar textbooks
icon
Related questions
Question
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 = 4 minutes and a = 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.) minutes minutes H x = σx = (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 "x = ox= n = 100 Hx μx = σx = 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--- and the standard deviations (and therefore spreads) of these distributions are ---Select--- (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 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 = 4 minutes and a = 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.) minutes minutes H x = σx = (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 "x = ox= n = 100 Hx μx = σx = 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--- and the standard deviations (and therefore spreads) of these distributions are ---Select--- (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 the distribution of X.
Expert Solution
steps

Step by step

Solved in 5 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS