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 0.7 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 ox- (b) Repeat part (a) for a sample of size of n = 80 and again for a sample of size n = 100. (Round your answers to three decimal places.) n = 80 ox- n 100 σ= 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--- V , 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.
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 0.7 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 ox- (b) Repeat part (a) for a sample of size of n = 80 and again for a sample of size n = 100. (Round your answers to three decimal places.) n = 80 ox- n 100 σ= 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--- V , 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Options (Select)
B.)
1. smaller for larger
2. smaller for larger sample sizes, larger for larger sample sizes, all the same as the population mean
C.)
1. 9, 80, 100
2. smallest mean, largest mean, largest standard deviation, smallest standard deviation
please answer correctly. i'll like if its correct
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,