1. Let X; - N(u, 1), 1

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Answered: Let X; - N(4, 1), 1 < i< n, be n…

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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Imagine you are doing a Related-Samples t-test, and you are on Step Two of the hypothesis test. The sample of difference scores that you calculated is -1, -1, -3, +2, 0, -4. If you are doing the test with α = .01, and two tails, what would he correct t-critical be?
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Let X1,..., X be an independent trials process with common expected value 2 and common variance 17. What is the exact value of the expected value of the average A? What is the variance of the average An? Your formula should have n. According to the Chebyshev inequality, P(An 20.2) ≤ (your formula should have n) Using your bound from the Chebyshev inequality, how many trials are needed so that P(An 2≥ 0.2) 0.91? (see the note below here) If you get an answer like n > 123.8, round it up to the next whole number: Your response: 124
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Suppose there is a claim that a certain population has a mean, µ, that is different than 7. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis H, and the alternative hypothesis H, as follows. Hoi u= 7 H: u =7 Suppose you also know the following information. The critical values are - 1.960 and 1.960 (rounded to 3 decimal places). The value of the test statistic is 2.477 (rounded to 3 decimal places). (a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed 0.3 Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2+ 0.1+ Step 3: Enter the test statistic. (Round to 3 decimal places.) 2 (b) Based on your answer to part (a), choose the correct statement. O The value of the test…
Assume that you have a sample of n,8, with the sample mean X, 42, and a sample standard deviation of S, 4, and you have an independent sample of n₂-15 from another population with a sample mean of X₂=34 and a sample standard deviation of S₂-5. What assumptions about the two populations are necessary in order to perform the pooled-variance t test for the hypothesis H:1P2 against the alternative H₁: pp and make a statistical decision? Choose the correct answer below A. It is necessary to assume that the populations from which you are sampling have independent normal distributions and equal variances. B. It is necessary to assume that the populations from which you are sampling have equal population means and positive standard deviations. OC. It is necessary to assume that the populations from which you are sampling have negative ISTAT fest statistics and unequal sample means. OD. It is necessary to assume that the populations from which you are sampling have unequal variances and equal…
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Let X; - N(4, 1), 1 < i< n, be n independent random variables. We are interested in estimating ? based on this random sample. (a) What is the MLE for 2? Is it an UBE? If not what is the square of its bias? (b) Show that X2 - 1 is an UBE for u?