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)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1c903f2-e6e2-413b-867e-c476db04ea87%2Fc5e20ee8-38ca-49e1-ba30-34be4c1e05f4%2Fywnggxc_processed.png&w=3840&q=75)
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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