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Researchers would like to investigate the impact that octane has on gas mileage. The accompanying table shows the gas mileage for six cars that were
Researchers would like to investigate the impact that octane has on gas mileage. The accompanying table shows the gas mileage for six cars that were driven 1,000 miles with three different grades of gasoline, 87, 89, and 93 octane. The gas mileage was recorded for each octane level. Each car was tested with all three gasoline grades. Complete parts a through c below. Click the icon to view the data. Click the icon to view a table of critical values for the studentized range. a. Using a = 0.05, does the octane level appear to have an effect on the gas mileage? What are the correct hypotheses to test for differences in the mileage for the octane levels? O A. Ho: Not all the u's are equal. O B. Ho: H87 = H89 = H93 H1: H87 = H89 = H93 H1 : All the u's are different. C. Ho: H87 = H89 = H93 O D. Ho: All the u's are different. H, : Not all the u's are equal. H1: H87 = H89 = H93 Determine the test statistic. F- = 1.98 (Round to two decimal places as needed.) What is the p-value? X The p-value is 0.190 More Info (Round to three decimal places State the conclusion about the Car 87 Octane 89 Octane 93 Octane Do not reject Ho. Conclude t A 31.9 30.6 23.3 b. Was the blocking effective? 29.9 34.1 25.7 C 24.2 22.1 33.2 What are the correct hypothese D 21.5 33.1 23.1 22. 28.8 23.8 MA. HO: HA = HB = HC = HD E 22.8 31.9 24.8 H1 : Not all the u's are e O C. Ho: All the u's are differ H1: HA = HB = HC = HD Print Done Determine the test statistic. FBL = 0.48 (Round to two ded What is the p-value? The p-value is 0.062 (Round to three decimal places as needed.)
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