The following hypotheses are given. H0 : σ1² = σ2² H1 : σ1² ≠ σ2² A random sample of eight observations from the first population resulted in a standard deviation of 10. A random sample of six observations from the second population resulted in a standard deviation of 7. 1. State the decision rule for 0.02 significance level. (Round your answer to 2 decimal places.) 2. Compute the value of the test statistic. (Round your answer to 2 decimal places.) 3. At the 0.02 significance level, is there a difference in the variation of the two populations?
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02 significance level.** To test the hypothesis about the equality of variances, we will use the F-test. The decision rule involves finding the critical values of the F-distribution for the given significance level (α = 0.02) and the degrees of freedom. 1. The Show more…
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The following hypotheses are given. $$ \begin{array}{l} H_{0}: \sigma_{1}^{2}=\sigma_{2}^{2} \\ H_{1}: \sigma_{1}^{2} \neq \sigma_{2}^{2} \end{array} $$ A random sample of eight observations from the first population resulted in a standard deviation of $10 .$ A random sample of six observations from the second population resulted in a standard deviation of 7 . At the .02 significance level, is there a difference in the variation of the two populations?
Sri K.
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2 A random sample of 9 observations from one population revealed a sample mean of 24 and a sample standard deviation of 3.7. A random sample of 6 observations from another population revealed a sample mean of 28 and a sample standard deviation of 4.6. The population standard deviations are unknown but assumed to be equal. At the 0.01 significance level, is there a difference between the population means? a. State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.) b. Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.) c. Compute the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) d. State your decision about the null hypothesis. e. The p-value is
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