An Analysis of Variance problem deals with which type of null and alternative hypothesis set? a. H0: µ1 = µ2 = µ3 against Ha: µ1 < µ2 < µ3 b. H0: µ1 = µ2 = µ3 against Ha: µ1 ≠ µ2 ≠ µ3 c. H0: µ1 = µ2 = µ3 against Ha: At least one pair of means are not equal.
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Step 1: The null hypothesis for an Analysis of Variance problem is that the means of all groups are equal, denoted as H0: µ1 = µ2 = µ3. Show more…
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Now, the null hypothesis is H0: σ^2e1 = σ^2e2 = σ^2e3 where we are testing the variances and error variance across three groups for significant differences at the α = .01 using a Levene statistic. The Levene statistic = 2.123, and the Sig. (p) = .092. What is the decision? A: Reject the null hypothesis, p < .01, there is a difference among the variances/error variances so they do not reflect homogeneity of variance. B: Fail to reject the null hypothesis, p > .01, no differences were found among the variances/error variances so they reflect homogeneity of variance.
Adi S.
The null hypothesis is H0: μ1 = μ2 and the alternative hypothesis is Ha: μ1 < μ2. The data in the accompanying table are from a simple random paired sample from the two populations under consideration. Use the paired t-test to perform the required hypothesis test at the 5% significance level. Find the test statistic. Use population 1 - population 2 as the difference. t = (Round to two decimal places as needed.) Determine the P-value. The P-value is (Round to three decimal places as needed.) What is the correct conclusion for the hypothesis test? A. Reject H0. The data do not provide sufficient evidence that μ1 < μ2. B. Do not reject H0. The data do not provide sufficient evidence that μ1 < μ2. C. Reject H0. The data provide sufficient evidence that μ1 < μ2. D. Do not reject H0. The data provide sufficient evidence that μ1 < μ2.
Sri K.
State the null hypothesis, $H_{o}$, and the alternative hypothesis, $H_{a},$ that would be used to test the following claims: a. The variances of populations $A$ and $B$ are not equal. b. The standard deviation of population I is larger than the standard deviation of population II. c. The ratio of the variances for populations $A$ and $B$ is different from 1. d. The variability within population $\mathrm{C}$ is less than the variability within population D.
Inferences Involving Two Populations
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