QUESTION 2a. i) Construct the sampling distribution of the mean based on all possible samples of sizen 2, drawn without replacement from a population consisting of (1, 2, 3,4}.ii) Based on your answer to part i), name with reasons the sampling procedure employed to generate the samples used todistribution of the mean.construct the samplingb. Use the sampling distribution constructed in part i) of a) to demonstrate that the sample mean and the sample variance are unbiased estimators of the populationmean and variance respectively.c. Estimate the standard error of the sample mean based on the sample (1,4), assuming that the population variance is:known.Unknown.d. Estimate the population total and its standard error based on sample (1,4).Attach FileBrowse Local Files15:4414°C4) ENGO Type here to search2021/11/26Tomle144Than%2:

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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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I need assistance with D and E Only. Given the sample data. x: 23, 17, 15, 32, 27 (a) Find the range. (Enter an exact number.) (b) Verify that Σx = 114 and Σx2 = 2,796. (For each answer, enter an exact number.)Σx = Σx2 = (c) Use the results of part (b) and appropriate computation formulas to compute the sample variance s2 and sample standard deviation s. (For each answer, enter a number. Round your answers to two decimal places.)s2 = s = (d) Use the defining formulas to compute the sample variance s2 and sample standard deviation s. (For each answer, enter a number. Round your answers to two decimal places.)s2 = s = (e) Suppose the given data comprise the entire population of all x values. Compute the population variance σ2 and population standard deviation σ. (For each answer, enter a number. Round your answers to two decimal places.)σ2 = σ =
For a population with a mean equal to 200 and a standard deviation equal to 30, calculate the standard error of the mean for the following sample sizes. a) 20 b) 40 c) 60 a) The standard error of the mean for a sample size of 20 is (Round to two decimal places as needed.) b) The standard error of the mean for a sample size of 40 is (Round to two decimal places as needed.) c) The standard error of the mean for a sample size of 60 is
Which of the following is a characteristic of the sampling distribution of a mean or proportion? a) its standard error increases as the size of the sample increases b) its standard error increases as the size of the population increases c) it has the shape of a normal curve d) its shape depends on the shape of population distribution
(a) Find the mean u and the standard deviation o for the collection of N = 8 stocks. (b) Find the sample mean i and sample standard deviation s of the random sample of stocks.
11th -The variance of the sample formed by the sample averages of the samples randomly taken from a population with the condition of substitution, with a size of n=100, was found to be 0.01. What is the sample standard error value?a)0.001 B)0.014 NS)0.20 D)0.032 TO)0.10
Please answer parts B,C and D
A population consists of 35% sixes and 65% fives. What will be the variance for the distribution of sample means for samples of size two selected from this population? a) 14.425 b) 0.2275 c) 0.11375 d) 28.85
The scores of individual students on the American College Testing (ABC) program composite college entrance examination have a normal distribution with a mean 18.6and a standard deviation 6.0. At Northside high, 36 seniors take the test. Assume that the scores at this school have the same distribution as national scores. A) What is the sampling distribution of the sample mean score of randomly selected 36 students?(show work) B) what is the distribution of a randomly selected one student?(show work)
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 $249 with a standard deviation of $57, Random samples of size 32 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is
The chromium percentages of the samples obtained from the drillings in the field are given below. Prepare the frequency table of the distribution by taking the lower limit of the first class as 20 and the class interval as 10 in the frequency table and answer the questions below a) What is the avarege of the distribution? b) What is the Standard Deviation of the Distribution? c) What is the coefficient of variation of the distribution? d) What is the median value of the distribution?

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