**Confidence Interval Calculation**Bob draws a simple random sample from an original population. The sample size is \( n = 61 \). The sample mean turns out to be \( \bar{x} = 59 \), and the sample standard deviation is \( s = 4 \). Find a 95% confidence interval for the population mean \( \mu \).**Options:**- A. (57.976, 60.024)- B. (56.253, 59.757)- C. (58.005, 61.417)- D. (58.452, 59.661)

Given : Sample Size, n = 61 Sample Mean, x̄ = 59 sample standard…

Answered: 32. Bob draws a simple random sample…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.
Answer number 3 only pls.
Suppose a random sample of n measurements is selected with probability of success p = . 35. Given n = 200, describe the shape, and find the mean and the standard deviation of the sampling distribution of the sample proportion.
For a population that has a standard deviation of 22, figure the standard deviation of the distribution of means for samples of size (a)2, (b)4, (c)5 and (d)10.
What is the mean and standard deviation of the sampling distribution of X¯X¯ for n = 16, if the sampled population has a mean of 48 and a standard deviation of 12? Select one: a. 4 and 1 b. 12 and 3 c. 48 and 3 d. 48 and 1 e. 48 and 12
The degrees of freedom used when testing two independent samples where the population standard deviation is unknown is Group of answer choices a.n1 + n2 - 2. b.the smaller of n1 - 1 or n2 - 1. c.n1 + n2 - 1. d.the larger of n1 - 1 or n2 - 1.
The mean of the distribution of sample means would be equal to:
.
Answer number 4 only..
Suppose a random sample of size is selected from a population that is normally distributed with a mean of 7.3 and a standard deviation of 0.82. Give the mean and the standard deviation of the sampling distribution of the sample mean. A. 8.9; 0.29 B. 7.3; 0.29 C. 7.3, 0.82 D. 8.9, 0.82
A Find the standard error of the mean for each sampling situation (assuming a normal population). (Round your answers to two decimal places). 1. O=56, n=4 2. O=56, n=16 3. O=56, n=64 B. What happens to the standard error each time you quadruple the sample size? The standard error is ________ by half.
o/vn measures the standard deviation of the sampling distribution of mean. Another name for it is Select one: O a. standard error of sample mean. O b. standard deviation of population mean. Oc standard error of population proportion. standard effor of sample proportion. O d.

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