Which of the following statement is CORRECT? A. If the null hpothesis is false, the sample means are considered the same. B. μ(mu)1 will never be equal to μ(mu)2 C. If the null hypothesis is true, there is a difference between population means. D. If the null hypothesis is true, there is no difference between the population means.
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- Suppose X1,., Xn, for n > 1, are sampled independently from a distribution with mean u and variance o?. Consider the following four estimators for X1+ Xn 2 X1 2 п(п + 1) i=1 a. Calculate the bias of each of these estimators. b. Calculate the standard error for each estimator. c. Which estimator would you choose to use? (Give a reason for your choice).#35Suppose the study described in the previous question was conducted by a colleague. He tells you that based on a chi-square distribution with 2 degrees of freedom, his p-value was 0.11, and he concludes that the proportions are not the same across health status categories. Do you agree with his conclusion? Yes, by rejecting the null hypothesis, it does appear that the proportions are not the same. Yes. He should have not rejected the null hypothesis and concluded that they do not appear to be related. Yes. a p-value > 0.05 always indicates that variables are related regardless of the test conducted
- A researcher administers a treatment to a sample of participants selected from a population with µ = 90. If a hypothesis test is used to evaluate the effect of the treatment, which combination of factors is most likely to result in rejecting the null hypothesis? a. a sample mean much different than 80 with α = .01 b. a sample mean much different than 80 with α = .05 c. a sample mean near 80 with α = .01 d. a sample mean near 80 with α = .05Suppose that you are to conduct the following hypothesis test for matched data: H0:μd=0 H1:μd≠0 For a sample of 16, it was found that d¯=−1.9 and sd=4.59. Determine each of the following: The value of the test statistic: For ?α = 0.025, the final conclusion is A. There is enough evidence to say that ??=0μd=0B. There is not enough evidence to say that ??=0μd=0C. There is enough evidence to say that ??≠0μd≠0D. There is not enough evidence to say that ??≠0μd≠0.Suppose you want to test the claim that 43. For a z-test we get a test statistic of z=2.05. If our alternative hypothesis is "??:?>13Ha:μ>13", what Excel command would we use to compute the P-value? If our alternative hypothesis is "??:?<13Ha:μ<13", what Excel command would se use to compute the P-value?You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. In the following calculations, use a = 0.05. Treatment Treatment Treatment 3 64 82 69 47 71 53 54 87 60 35 64 46 50 76 57 148.67 108.67 96.67 (a) Use analysis of variance to test for a significant difference among the means of the three treatments.A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 68%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H, and the alternative hypothesis H that we would use for this test. H: 0 ORecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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