Consider a sampling distribution with p=0.11 and samples of size n each. Using the appropriate formulas, find the meanand the standard deviation of the sampling distribution of the sample proportion.a. For a random sample of size n = 4000.b. For a random sample of size n = 1000.c. For a random sample of size n = 500.

Given, P = 0.11(a) the mean = 0.11The standard error = Here, n = 4000 = = 0.004425The standard…

Answered: Consider a sampling distribution with…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.
3. Complete the first 3 columns of the table below. Values Deviations Square deviations X - X X (X-X)² Standard (z) scores X - X S Z= a. Compute the sample variance and sample standard deviation by definition. b. Fill in the last column of the table c. Compute the coefficient of variation.
Assume a population of 2, 4, and 12. Assume that samples of size n= 2 are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts a through d below. 2,2 2,4 2,12 4,2 4,4 4,12 12,2 12,4 12,12 b. Find the standard deviation of each of the nine samples, then summarize the sampling distribution of the standard deviations in the format of a table representing the probability distribution of the distinct standard deviation values. Use ascending order of the sample standard deviations. Probability 32 50 (Type integers or fractions.) c. Find the mean of the sampling distribution of the sample standard deviations. The mean of the sampling distribution of the sample standard deviations is. (Round to three decimal places as needed.) d. Do the sample standard deviations target the value of the population standard deviation? In general, do sample standard deviations make good estimators of population standard deviations? Why or why not? A.…
Find the mean of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary. μ=35 and σ=6 ; n=36
Consider a population proportion p = 0.27. Calculate the standard error for the sampling distribution of the sample proportion when n = 17 and n = 65?
= 12,000 and p = 0.71. A random sample of 902 elements selected from this population gave p 0.61. Find For a population, N the sampling error. Enter the exact answer. sampling error =
can you help for answer this ?
A political newspaper, Politically Sound, is interested in the distances voters in Rising Falls County live from their nearest polling station. Politically Sound has hired you to estimate the population mean of all such distances for voters in this county. To estimate this population mean, you select a random sample of 17 Rising Falls County voters and record the distance (in km) each voter lives from their nearest polling station. Assume the population is approximately normally distributed. Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of all the distances voters in Rising Falls County live from their nearest polling station. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Number of voters 17 Sample mean 4.757 Sample standard deviation 2.363 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the…
As the sample size increases, the mean of the sampling distribution ▼ stays the same. gets larger. gets smaller.
Find the weighted estimate, p to test the claim that p, = p2. Use a = 0.05. The sample statistics listed below are from independent samples. n, = 50, x, = 35, and = 60, x, = 40 O A. 0.682 O B. 0.238 C. 1.367 D. 0.328
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.

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