(8) It can be shown that for a random sample of size n from an exponential distributionwith mean 0, the quantity2Өni=1Xiwith r = 2n degrees of freedom. Use this₁ X₁ = 32.10i=1is distributed as Chi-square distributionfact to obtain a 90% confidence interval for 0 if n = 10 and

Answered: 3) It can be shown that for a random…

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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Suppose a sample size of 87 was used to conduct a right tailed hypothesis test for a single population mean. The null |hypothesis was Ho: µ 45 and the sample mean was 50 and the p-value was 0.03. Then there is a 3% chance that 87 randomly selected individuals from a population with a mean of 45 and the same standard deviation would have a sample mean greater than 50. false true
Please note the question is: What is the distribution of the t-test statistic if m, n -----> ∞ ?
Suppose X is a random variable with standard beta distribution and parameters (alpha) = 8 and (beta) = 2 What is (PX>=0.6)?
Suppose X1,..., Xn is a random sample from an exponential distribution with mean e. If X = 17.9 with n = 50, find (a) a one-sided 95% confidence interval for 0, and (b) a two-sided 95% confidence interval for 0.
Suppose a random sample of 25 students is selected from a community college where the scores on the final exam (out of 125 points) are normally distributed having mean equal to 112 and standard deviation equal to 4. Find the probability that the sample mean deviates from the population mean µ = 112 by no more than 3.
A random sample is drawn from a normally distributed population with mean μ = 18 and standard deviation σ = 2.3; Are the sampling distribution of the sample mean with n = 26 and n = 52 normally distributed? Also calculate the probabilities that the sample mean is less than 18.6 for both sample sizes.
We have a random variable X1 for population 1 with a mean value of 52 and standard deviation of 3. we have a random variable X2 for population 2 with a mean value of 50 and population standard deviation of 4. we obtain a random sample of 625 elements independently for both populations. what is the probability that the difference in the sample averages X1-X2 is at least 2.3?

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3) It can be shown that for a random sample of size n from an exponential distribution with mean 0, the quantity 210 n ΣXi i=1 is distributed as Chi-square distribution with r = 2n degrees of freedom. Use this fact to obtain a 90% confidence interval for if n 10 and ₁ X₁ = 32. =