Let y1, .., Yn be a simple random sample of size n from UTM students.Assume that the population size is N.Suppose that y; equals 1 (if the participant is COVID-19 fully vaccinated) or 0 (ifthe participant is not COVID-19 fully vaccinated).Let p be the population proportion and q = 1– p.Definep =-E{-1Yi and ĝ = 1 – p.Some useful facts: E(y:) = p, V(y;) = pg. You may use any needed fact aboutexpected value/variance from previous courses such as STA256H5 withoutproof. Also, well-known facts from STA304H5 maybe used directly without proof.Only describe what you are doing.If sampling is with replacement, find V (p). Show all steps.If sampling is with replacement, show thatis unbiased estimator ofп-1V (p). Show all steps.If sampling is without replacement, find E(). Show all steps. Simplifybdyour answer.

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Answered: Let y1, ., Yn be a simple random sample…

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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If N = 150, (A) = 93, (B) = 112, (C) = 80, (BC) = 20 and (Ay) = 43, find the greatest and the least possible values of (AB) so that the data may be consistent.
find relative efficiency
3.) A population has a mean of 300 and a variance of 80. If we get 160 samples from this population, what wili be the mean and standard deviation of the sampling distribution of sample mean? A.) Hg = 300 and og =0.53 B.) µg = 300 and og =0.71 C.) µg = 300 and og =6.32 D.) µg = 300 and og =80 %3D %3D
A sample of n = 64 scores has a mean of M = 68. Assuming that the population mean is p = 60, find the z-score for this sample: If it was obtained from a population with o = 16 Z = If it was obtained from a population with o = 32 Z = If it was obtained from a population with o = 48 Z =
Suppose data is collected to predict y from x. If the size of Sample ✓ Calculate the p-value if the test statistic is t = -1.38
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Assume a population with 5 elements: X1-0, X2-1, X3-2. X4-3,X5-4. Calculate mean and variance of X for random samples of size 3 taken with replacement Provide a numerical answer only.
Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal, For the population of healthy female adults, suppose the mean of the x distribution is about 4.64, Suppose that a female patient has taken six laboratory blod tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 () Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) C) Do the given data indicate that the pooulation mean RBC count for this patient is lower than 4.647 Use a- 0.05. (a) What is the level of significance? State the nul and alternate hypotheses. O Hn: 4- 4.64; H: 4.64 O Ho: H> 4.64; H:u- 4.64 O Hn: H- 4.64; H: H 4.64 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal,…
Consider a normal distribution with a mean of u and a standard deviation of a. The z-score for x= 12 is 1.6, and the z-score for x = 9 is 0.4. Set up and solve a system of two equations to solve for the mean and standard deviation. = ow, calculate the probability of NOT being in between those two z-scores (complement law). robability =

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