8.1.10. Let X₁, X2, X10 denote a random sample of size 10 from a Poissondistribution with mean 6. Show that the critical region C defined by 11, 23is a best critical region for testing Ho: 0= 0.1 against H₁ : 0= 0.5. Determine,for this test, the significance level a and the power at 0-0.5. Use the R functionppois.

Answered: 8.1.10. Let X₁, X2, X10 denote 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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The average American gets a haircut every 41 days. Is the average smaller for college students? The data below shows the results of a survey of 13 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 44, 36, 30, 41, 41, 34, 41, 30, 44, 31, 36, 38, 43 What can be concluded at the the αα = 0.05 level of significance level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? p μ Select an answer > ≠ = < H1:H1: ? μ p Select an answer ≠ = > < The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 3 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer fail to reject accept reject the null hypothesis. Thus, the final conclusion is that ... The data suggest…
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7. has been found that the distribution of the diameters of these tomatoes is roughly bell-shaped with light-tails. In order to test whether a new growth hormone produces larger tomatoes, a botanist decides to conduct a hypothesis test. If u denotes the true mean of tomatoes with the growth hormone and u2 denotes untreated tomatoes, then her hypotheses are Ho : 41 = µ2 vs. HA : µ1 > 42. She randomly samples 6 tomatoes, applies the new growth hormone to 3 of them, and measures the following diameters (in cm). Suppose that a certain species of tomato plant has been extensively studied. It Experimental Group 12.7 13.4 13.9 Control Group 9.7 10.4 13.1 (a) Explain why the two-sample t-test is the appropriate hypothesis test for the botanist to perform. (b) Based on the two sample t-test, is there sufficient evidence to reject Ho in favour of HA at the a = 0.15 significance level?
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