The decision rule for a Wilcoxon signed-rank test is always to reject H0 if W is greater than or equal to the critical value. True False
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The decision rule for a Wilcoxon signed-rank test is always to reject H0 if W is greater than or equal to the critical value.
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- Let X1, X2 denote a random sample from a population having mean u = 10 and variance o? %3D 1. Consider the following estimators of u: X1+X2 2 = 2X1 – X2 Round all answers to 1 decimal place. 1. The bias of O is and the bias of O2 is 2. The variance of O, is and the variance of O2 is 3. The relative efficiency of O2 to O1 isThe one-sample t statistic for testing H0:μ=0H0:μ=0Ha:μ>0Ha:μ>0 from a sample of n = 15 observations has the value t = 1.82. (a) What are the degrees of freedom for this statistic? (b) Give the two critical values t* from Table C that bracket t. What are the one-sided P-values for these two entries?t*: from to P-value: from _to_we run a hypothesis test for the difference of two means mu1 and mu2, with an alternative hypothesis of mu1 < mu2. And suppose that the test statistic is t = -1.68 (and the t-model has 20 degrees of freedom). What is the p-value for this test?
- You wish to test the following claim (HaHa) at a significance level of α=0.10 Ho:p1=p2 Ha:p1>p2You obtain 249 successes in a sample of size n1=282n1=282 from the first population. You obtain 638 successes in a sample of size n2=787n2=787 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population…If your critical value is ±2.7 then you are running a: unable to determine from this informationtwo tailed testright tailed testleft tailed test If your critical value is ±2.7 and the test statistic is 0.6 you would:unable to determine from this informationaccept the Hofail to reject the Horeject the Ho If your critical value is ±2.7 and the test statistic is 0.6 you would be:unable to show that the average is less than the claimunable to show that the average was different than the claimable to show that the average is less than the claimunable to show that the average was greater than the claimable to show that the average was greater than the claim If your critical value is ±2.2 then you are running a:left tailed testunable to determine from this informationtwo tailed testright tailed test If your critical value is ±2.2 and the test statistic is -0.9 you would:reject the Hofail to reject the Hounable to determine from this informationaccept the Ho If your critical value is ±2.2 and…You wish to test the following claim (HaHa) at a significance level of α=0.02 Ho:p1=p2 Ha:p1>p2You obtain 16.3% successes in a sample of size n1=621n1=621 from the first population. You obtain 10.6% successes in a sample of size n2=630 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
- A researcher estimates that the average height of the buildings of 30 or more stories in a large city is at most 700 feet. A random sample of 10 buildings is selected, and the heights in feet are shown. At α = 0.025, is there enough evidence to reject the claim? 485 511 841 725 615 520 535 635 616 582 What is the critical value of the t?3. A test of hypothesis of Ho: μ =494 versus Ha: µ ‡ 494 yields the following test statistic: ỹ-Ho O √n Z = = 0.60 a. What is the p-value for the test of hypothesis? b. Using the p-value obtained in part b) and an alpha level of .05, what conclusion do you reach re: the test of hypothesis? Explain.Consider the accompanying data on plant growth after the application of different types of growth hormone. 1: 12 18 7 15 2: 20 13 21 17 3: 19 16 21 17 4: 8 10 17 9. 5: 12 16 8 In USE SALT (a) Perform an F test at level a = 0.05. State the appropriate hypotheses. O Ho: H1# Mz # H3# H4#H5 : all five u,'s are equal O Ho: Hy # Mz # Hz# H4# H5 : at least two µ,'s are equal O Ho: H1 = H2 = H3 = H4= H5 H: at least two µ's are unequal Hoi H1 = Hz= Hz = H4= M5 : all five u,'s are unequal Calculate the test statistic. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? O P-value > 0.100 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 0.001 < P-value < 0.010 O P-value < 0.001
- The manager of an assembly process wants to determine whether or not the number of defective articles manufactured depends on the day of the week the articles are produced. She collected the following information. Is there sufficient evidence to reject the hypothesis that the number of defective articles is independent of the day of the week on which they are produced? Use ? = 0.01. Day of Week M Tu W Th F Nondefective 87 93 99 99 92 Defective 11 6 3 3 9 (a) Find the test statistic. (Round your answer to two decimal places.)(ii) Find the p-value. (Round your answer to four decimal places.)(b) State the appropriate conclusion. Fail to reject the null hypothesis. There is not significant evidence that the number of defective articles is not independent to day of the week.Fail to reject the null hypothesis. There is significant evidence that the number of defective articles is not independent to day of the week. Reject the null hypothesis. There is…NESS STATISTICS I-Spring21 Time left 1:20:47 A student believes that the average grade on the final examination in statistics is at least 85. She plans on taking a sample to test her belief. The correct set of hypotheses is O A. Ho: H > 85 Ha: u 85 a here to searchConsider drawing samples of size n = 12 from U(0,12) Consider estimators for the population variance. One such estimator is the familiar s. When you draw such a sample, what is E(s') ? Another is the sample range r, where r= ymax - Ymin %3D When you draw such a sample, what is E(r) ? Hint: E(y max) = 144/13 using Theorem 3.10.1 Isr unbiased? Isr consistent?