16. Random samples of size 36 were selected from population with a meanof 10 and variance of 9. What is the mean and standard deviation of thesampling distribution of the sample mean?O A. Mean = 10 , Std = 1.5B. Mean = 10, Std = 3.5O C. Mean = 10, Std 0.5%3DD. Mean = 10, Std = 3

Answered: 16. Random samples of size 36 were…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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The SAT scores X are normally distributed with mean 146 and standard deviation 43, if 8 SAT scores are normally selected. Find the mean and standard error for the sampling distribution of sample mean.
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The distribution of the number of motor vehicles per household in the United States (the population) and sampling distributions of the mean for samples of size 4 and 10 are shown in below. A.Which distribution is which? Make a rough estimate of the mean and standard deviation of each distribution. Explain the reasons of your choices.b. The mean of the population is about 1.7. Theoretically, what is the mean of the sampling distribution for samples of size 4? Of size 10? Are these computed means consistent with your estimates of the means in the histograms? Briefly explain.c. The standard deviation of the population is about 1. Theoretically, what is the Standard Error (SE) of the sampling distribution for samples of size 4? Of size 10? Are these computed SEs consistent with your estimates of the SEs in the histograms? Briefly explain.d. Compare the shapes of the three distributions. Are the shapes consistent with the Central Limit Theorem? Briefly explain.
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A population has a mean μ=85 and a standard deviation σ=21. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=263.

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16. Random samples of size 36 were selected from population with a mean of 10 and variance of 9. What is the mean and standard deviation of the sampling distribution of the sample mean? O A. Mean = 10, Std 1.5 B. Mean = 10, Std 3.5 %31 O C. Mean = 10, Std 0.5 O D. Mean 10, Std 3 %3D