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 distributionScoreThe per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 112 pounds and a standard deviation of 39.2pounds. Random samples of size 19 are drawn from this population and the mean of each sample is determined.Scorescorea, = (Round to three decimal places as needed.)Sketch a graph of the sampling distributioni. Choose the correct graph below.ScoreOB.OC.OD.O A.scorestent-103.0 90 t21.0tesou94.0 112 130085.0 112 139.03.57%ccess60%

Consider a random variable X defines the per capita consumption of red meat by people in a recent…

Answered: Use the central limit theorem to find…

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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Continuous distribution. Draw a bell shaped curve to show the x and z values and the probability asked for.Assume that the heights of male students are normally distributed with a mean of 70.a inches and a standard deviation of 2.a inches. a) Find the probability that male students have a height between the Toronto Maple Leaf’s average height of 72.4 in. and the Philadelphia Flyers’ average height of 74.6 in.
Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution. The amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 5.90 years and a standard deviation of 1.80 years. Random samples of size 20 are drawn from the population and the mean of each sample is determined. Round the answers to the nearest hundredth. Answer choices: A.) 5.90 years , 0.40 years b) 5.90 years , 0.09 years c.) 1.32 years , 1.80 years d) 1.32 years , 0.40 years
Refer to the data set in the accompanying table. Assume that the paired sample data is a simple random sample and the differences have a distribution that is approximately normal. Use a significance level of 0.05 to test for a difference between the weights of discarded paper (in pounds) and weights of discarded plastic (in pounds). In this example, Hd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the weight of discarded paper minus the weight of discarded plastic for a household. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: Hd #0 H₁: Hd>0 O C. Ho: Hd #0 H₁: Hd=0 Identify the test statistic. t= (Round to two decimal places as needed.) B. Ho: Hd=0 H₁: Hd #0 O D. Ho: Hd = 0 H₁: Hd <0 More Info Household Paper 16.39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 POTBRANN~~~~~~~ 7.57 11.42 6.44 20.12 2.41 6.05 2.80 13.61 13.05 17.65 8.72 6.16 7.72 7.98 6.38 6.67 6.98 29 11.08 5.86…
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.
Image has all the data
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.
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…
In a population of a certain species of newt, the mean length of the newts is μ= 63 inches and the standard deviation is σ= 3.4 inches. You collect a random sample of n=16 newts. The bell curve below represents the distribution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places. mean of distribution= standard error= Note: The left box is 2 standard errors below the mean. The middle box is the mean. The right box is 2 standard errors above the mean.
Use the information provided to find the minimum sample size required to estimate an unknown parameter Mean(u). How many students should be randomly selected to estimate the average weekly earnings of students at a university? We want 80% confidence that the sample mean is within $ 3 of the population mean and the population standard deviation is known to be $ 57. Select one: a. 978 b. 362 c. 1388 d. 594 e. 2397

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