Real-life ProblemApply the concept of Sampling distribution of thesampling means, present your ANSWER with COMPLETESOLUTION to this problem.Suppose, from the given example of incomes for fourcollege students (200, 300, 400, 100), that we wish toestimate the mean and we decide to select a sample ofsize n = 2.a. What is the population mean, population variance,and population standard deviation of the givendata?b. Construct the entire sampling distributionc. What is the mean, variance, and standard deviationof the sampling distribution?

We have population values {200,300,400,100} . The population size is N=4. The sample size is n=2.

Answered: Real-life Problem Apply the concept of…

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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Sample Size. How does the sample size affect how close to a normal distribution of either sample means or sample proportion will be?
Complete parts (a) through (d) for the sampling distribution of the sample mean shown in the accompanying graph. Click the icon to view the graph. (a) What is the value of u;? The value of u; is 600. (b) What is the value of o;? The value of o; is 30. (c) If the sample size is n= 9, what is likely true about the shape of the population? O A. The shape of the population is skewed left. O B. The shape of the population is skewed right. C. The shape of the population is approximately normal. O D. The shape of the population cannot be determined. (d) If the sample size is n= 9, what is the standard deviation of the population from which the sample was drawn? The standard deviation of the population from which the sample was drawn is
The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c). September 68 71 57 81 68 56 65 64 71 April 64 69 58 82 69 58 68 68 77 a. Use a 0.05 significance level to test the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. 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 April weight minus the September weight. What are the null and alternative hypotheses for the hypothesis test? Ho Hd = 0 kg 0 kg H₁…
In looking at the results of a standardized exam, 72% of those taking the test choose the correct answer on the first question. Answer the following for 400 test takers who are to be randomly chosen. After taking the sample and administering the test, 320 of the test takers answer the first question correctly. The sample proportion is ____________________. Find the mean and variance for the distribution of sample proportions from samples of size n = 400. Mean: __________________ Variance: ___________________ The probability is ____________________ for taking another random sample of size n = 400 test takers and more than 75% of them getting the correct answer on this question.
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Assume that a population of thousands of people whose responses were used to develop the anxiety test had scores that were normally distributed with (MEAN)M μ = 30 and (STANDARD DEVIATION)s σ = 10. What proportion of people in this population would have anxiety scores within each of the following ranges of scores? Assuming that a score in the top 5% of the distribution would be considered extremely anxious, would a person whose anxiety score was 50 be considered extremely anxious?below 20above 30between 10 and 50 below 10below 50either below 10 or above 50 I read the post that had this but I do not understand how to do the actual propblem. Please help
Suppose the true population proportion is p = 0.5. The figure below shows the distribution of the sample proportion (p) values for 3 different sample sizes, n = 20, n=100 and n=500. 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8
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