Given the null and alternative hypotheses and sample information shown below, complete parts a and b. H₁: 0² = 0²/2 HA: 0² #02 Sample 1 n₁ = 11 Sample 2 n₂ =21 S₁ = 26 S2 = 31 a. If x = 0.10, state the decision rule for the hypothesis. If the calculated test statistic F is reject Ho, otherwise do not reject Ho (Round to two decimal places as needed. Use a comma to separate answers as needed.)
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- Independent random samples from normal populations produced the results shown in the table to the right. Complete parts a through d below. a pyy What are the null and alternative hypotheses? OA. Ho: H₁-H₂ = 0.10 Ha: H₁-P₂20.10 B. Ho H₁-₂0 H₂H₁ ₂0 D. H₂:1₁-11₂=0 H₂H₁-H₂ <0 C. Ho: Hi-Hy=0.10 Ha: H₁-H₂ ≤0.10 What is the test statistic? (Round to two decimal places as needed.) Sample 1 2.2 1.2 3.3 1.1 2.9 Sample 2 2.9 3.3 2.9 3.4Suppose taht you ran the following hypothesis test: H0: p1-p2<=0 Ha: p1-p2>0 and the data you collected produced a test statistic of Z0=1.68. Calculate the P value for this Test statistic. Round off your answer to the 4th decimal.Refer to the accompanying data table, which shows the amounts of nicotine (mg per cigarette) in king-size cigarettes, 100-mm menthol cigarettes, and 100-mm nonmenthol cigarettes. The king-size cigarettes are nonfiltered, while the 100-mm menthol cigarettes and the 100-mm nonmenthol cigarettes are filtered. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of nicotine. Given that only the king-size cigarettes are not filtered, do the filters appear to make a difference? Click the icon to view the data table of the nicotine amounts. Determine the null and alternative hypotheses. Ho: H: i Nicotine amounts (mg) 100-mm Nonmenthol King-Size Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) 100-mm Menthol 1 1.7 1 1.4 0.4 1.0 0.9 2 1.1 1.0 1.1 3 0.5 4 1.2 4 0.8 4 1.2 1.5 1.2 1.1 1.2 1.4 0.7 1.3 0.9 1.1 8. 1.0 8 1.1 8. 1.2 9. 1.4 9. 1.3 9. 0.8 10 1.1 10 0.8 10 1.1 Print Done