Suppose a random sample of size 54 is selected from a population with = 10. Find the value of the standard error of the mean in each of thefollowing cases (use the finite population correction factor if appropriate).a. The population size is infinite (to 2 decimals).b. The population size is N = 50,000 (to 2 decimals).c. The population size is N = 5000 (to 2 decimals).Hint(s) Check My Workd. The population size is N = 500 (to 2 decimals).

Given that, The sample size n=54 Population variance σ=10 The standard error of mean if the…

Answered: σ Suppose a random sample of size 54 is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 114 pounds and a standard deviation of 39.2 pounds. Random samples of size 19 are drawn from this population and the mean of each sample is determined. μx=enter your response here σx=enter your response here (Round to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct graph below. A. 9.0 -105.0123.0 x A normal curve is over a horizontal x overbar axis labeled from negative 105.0 to 123.0 and is centered on 9.0. B. 114 87.0141.0 x A normal curve is over a horizontal x overbar axis labeled from 87.0 to 141.0 and is centered on 114. C.…
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Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $242 with a standard deviation of $55. Random samples of size 35 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is enter your response here. The standard deviation of the distribution of sample means is enter your response here. (Type an integer or decimal rounded to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct answer below. A. -3 0 3Mean price (in $) x A bell shaped curve is over a horizontal x overbar axis labeled Mean price (in dollars) from negative 3 to 3 in increments of 1 and is centered on 0. B. 239 242 245Mean price (in $) x A bell shaped curve is over…
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A variable of two populations has a mean of 30 and a standard deviation of 18 for one of the populations and a mean of 30 and a standard deviation of 32 for the other population. Complete parts (a) through (c). a. For independent samples of size 9 and 16, respectively, find the mean and standard deviation of X₁ -X₂. (Assume that the sampling is done with replacement or that the population is large enough.) The mean of X₁ -X₂ is. (Type an integer or a decimal. Do not round.) The standard deviation of X₁-X₂ is (Round to four decimal places as needed.) b. Must the variable under consideration be normally distributed on each of the two populations for you to answer part (a)? Choose the correct answer below. OA. No, the variable does not need to be normally distributed for the formulas for the mean and standard deviation of x₁-x₂ to hold as long as the sample sizes are large enough, as long as the sampling is done with replacement. B. No, the formulas for the mean and standard deviation of…

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