Compute the mean (ux) variance (a²x) and standard deviation (ox) of each sampling distribution.1. When 100 independent samples are takenX235f(x)1/123/124/123/121/122. When 4 independent samples are takenX01| 234tof(x)1/51/51/51/51/53. When 25 samples are drawn with replacementY2+2P(y)1/21/64. When 64 samples are drawn with replacementZ357for 25F (z)0.60.10.25. When 36 samples are drawn with replacementr102020F(t)3/74/731/390.1

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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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The amount of nicotine in a cigarette produced by a tobacco company is a random variable with mean 2.2 mg and standard deviation 0.3 mg. Taking 100 randomly chosen cigarettes, let X; denote the nicotine content of the ith cigarette for i = 1,..., 100, and let X = 100 Ei=1 X; be the sample mean of the nicotine content. 100 a. What is the variance of X? Var(X) = Approximate the probability that X is higher than 2.25 in terms of the standard normal random variable. (The answer is given in terms of 2.25, standardized by mean and standard deviation of X.) P(X> 2.25) = P(Z >
Create a column of numbers going from 0 to 30. in binomial distrubution with n=30 and p=0.5. Remember that the variance is the expected value of the squared deviations from the mean. In the next column, compute the product of the probability of each outcome and the squared deviation from the mean. Place the sum of the 31 values in the cell next to the cell in which you have computed the variance as a function of the parameters.
ကြိုး ✓ X Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) H group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. n H OA H₂:₁ = 4²₂ H₁: Hy #1₂ an example Get more help. Gi Hoi Ky 12 H₁: Hy > H₂ The test statistic, t, is 0.12. (Round to two decimal places as needed.) The P-value is 0.453. (Round to three decimal places as needed.) State the conclusion for the test. # 3 80 F3 Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. Is it valid to argue that magnets might appear to be…
A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World. The results for samples of customer transactions for the two fast food restaurants are shown below. At a= 0.10, can you support the magazine's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Burger Stop X, = $9.13 Fry World X2 = $8.50 5, = $0.78 52= $0.68 n= 17 n2 =8 (a) Identify the claim and state Ho and H. Which is the correct claim below? O A. "The mean amount spent by a customer at Fry World is greater than the mean amount spent by a customer at Burger Stop." B. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World." Oc. "The mean amount spent by a customer at Burger Stop is not equal to the mean amount spent by a customer at Fry World." O D. "The…
Q2. Calculate Standard Deviation, Variance and Co-efficient of variation Weight (Kg) No. of Residents 10-20 100 20-30 85 30-40 125 40-50 20 50-60 30 60-70 5 70-80
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Compute mean, variance, and standard deviation
In order to use the defining formula for variance, we must calculate (x − x)2 for each data value in the data set 14, 18, 22, 26, 33. Use the values in the data set and the mean x = 22.6 to fill out the following table. x 14 18 22 26 33 x 22.6 22.6 22.6 22.6 22.6 x − x 14 − 22.6 = −8.6 18 − 22.6 = __________ 22 − 22.6 = −0.6 26 − 22.6 = _________ 33 − 22.6 = 10.4 (x − x)2 73.96 __________ 0.36 ________ 108.16

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Compute the mean (ux) variance (a³x) and standard deviation (ax) of each sampling distribution. 1. When 100 independent samples are taken X 1 2 3 f(x) 1/12 3/12 4/12 3/12 1/12