We collected a sample of twenty-five observations. We assumed that the observations are from apopulation whose values follow a normal distribution with a mean of u and a standard deviation offive. We performed a test with these hypotheses Ho: μ = 0H₁ = 0 and H₁ : μ0H₁0.The test statistic is the sample mean . The 5% rejection region is < -1.959964< -1.959964or > 1.959964 > 1.959964. What is the power of this test when μ = -2μ = -2? Please statethe statistical power up to the fourth decimal place.

Answered: Image /qna-images/answer/df9a8517-db21-4375-a82f-a6f1d315811b.jpg

Answered: We collected a sample of twenty-five…

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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7 on 8 estion 9 Question 10 Help me solve this TTF Partly cloudy Q K A simple random sample from a population with a normal distribution of 100 body temperatures has x=98.90°F and s=0.63°F. Construct a 90% confidence interval estimate of the standard deviation of body temperature of all healthy humans. Click the icon to view the table of Chi-Square critical values. A Z W S View an example Get more help - # H °F W P ctri ? [ + = < prt se pause Clear all + delete +-backspace 16 ^ 4 enter t shift home num lock 7 home home 4 ← Check answer 1 end end 1 8 ↑ 5 O ins 9:21 PM 10/26/2022 2 4 no up pg up * 9 og up 6 pg dn 3 pg dn del enter
The mean SAT score in mathematics is 553. The standard deviation of these scores is 29. A special preparation course claims that the mean SAT score, u, of its graduates is greater than 553. An independent researcher tests this by taking a random sample of 50 students who completed the course; the mean SAT score in mathematics for the sample was 563. At the 0.10 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 553? Assume that the population standard deviation of the scores of course graduates is also 29. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. H :0 H :0 (b) Determine the type of test statistic to use. O=0 (Choose one) (c) Find the value of the test statistic. (Round to three or…
The average American consumes 86 liters of alcohol per year. Does the average college student consume a different amount of alcohol per year? A researcher surveyed 10 randomly selected college students and found that they averaged 62.3 liters of alcohol consumed per year with a standard deviation of 22 liters. What can be concluded at the the αα = 0.01 level of significance? For this study, we should use (t-test for population mean, or z-test for population proportion) The null and alternative hypotheses would be: H0: (symbol) (symbol) _____ H1: (symbol) (symbol) _____ The test statistic (symbol) = _____ (please show your answer to 3 decimal places.) The p-value = _____ (Please show your answer to 4 decimal places.) The p-value is (symbol) αα Based on this, we should (fail to reject, reject, accept) the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly different from 86 at αα = 0.01,…
The mean alkalinity level of water specimens collected from the Han River in Seoul, Korea, is 50 milligrams per liter. (Environmental Science & Engineering, September 1, 2000.) Consider a random sample of 100 water specimens collected from a tributary of the Han River. Suppose the mean and standard deviation of the alkalinity levels for the sample are Xbar= 67.8 mg/L and s = 14.4 mg/L. Is there sufficient evidence to indicate that the population mean alkalinity level of water in the tributary exceeds 50 mg/L? Use significance level 0.05 a. State the null and alternate hypothesis b. Calculate the test statistic c. Calculate the p-value d. Do you reject the null hypothesis or fail to reject the null hypothesis. e. Write your conclusion
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I also need the standardized test statistic and whether it's required to reject or fail to reject the hypothesis and interpret the decision in the context of the original claim
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Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.10 significance level to test for a difference between the measurements from the two arms. Identify the test statistic and p-value. Right arm Left arm 144 167 OA.T-3.07, p-value = 0.037 OB. T = -2.32, p-value = 0.081 OC. T = -1.93, p-value = 0.127 OD. T = -4.01, p-value = 0.016 133 161 132 179 138 145 136 144
The mean SAT score in mathematics is 587. The standard deviation of these scores is 42. A special preparation course claims that the mean SAT score, μ, of its graduates is greater than 587. An independent researcher tests this by taking a random sample of 100 students who completed the course; the mean SAT score in mathematics for the sample was 596. At the 0.10 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 587? Assume that the population standard deviation of the scores of course graduates is also 42. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H₁, and the alternative hypothesis H₁. H₁ :] H₁:0 (b) Determine the type of test statistic to use. t Degrees of freedom: (c) Find the value of the test statistic. (Round to…
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