Suppose an engineer wanted to determine whether the gas mixture used increases gas mileage. He constructed...

 

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Suppose an engineer wanted to determine whether the gas mixture used increases gas mileage. He constructed a randomized block design and performed tests to measure the gas mileage. The data were determined to come from normally distributed populations and the variances were determined to be equal. Complete parts (a) through (e) below. U (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Car 1 Car 2 Car 3 Car 4 Car 5 Car 6 Mix 1 28.3 26.9 26.2 25.9 27.9 25.1 Mix 2 28.3 26.9 26.1 26.4 28.5 24.9 Do not reject the null hypothesis. There is not sufficient evidence at the 0.05 level of significance to conclude that the mean gas mileage for at least one gas mix is different. (d) If the null hypothesis from part (c) was rejected, use Tukey's test to determine which pairwise means differ using a familywise error rate of a = 0.05. The Tukey test indicates that μ₁ <H2 = 43. (e) Interpret the results of the Tukey test in the context of the problem. Based on the results of part (d), what do you conclude? The mileage is the same for mix 1 and mix 2 and decreases for mix 3. Mix 3 28.7 27.4 26.8 27.3 29.3 25.9 D Suppose an engineer wanted to determine whether the gas mixture used increases gas mileage. He constructed a randomized block design and performed tests to measure the gas mileage. The data were determined to come from normally distributed populations and the variances were determined to be equal. Complete parts (a) through (e) below. U (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Car 1 Car 2 Car 3 Car 4 Car 5 Car 6 Mix 1 28.3 26.9 26.2 25.9 27.9 25.1 Mix 2 28.3 26.9 26.1 26.4 28.5 24.9 Do not reject the null hypothesis. There is not sufficient evidence at the 0.05 level of significance to conclude that the mean gas mileage for at least one gas mix is different. (d) If the null hypothesis from part (c) was rejected, use Tukey's test to determine which pairwise means differ using a familywise error rate of a = 0.05. The Tukey test indicates that μ₁ <H2 = 43. (e) Interpret the results of the Tukey test in the context of the problem. Based on the results of part (d), what do you conclude? The mileage is the same for mix 1 and mix 2 and decreases for mix 3. Mix 3 28.7 27.4 26.8 27.3 29.3 25.9 D

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Mix 1 2 3 283 283 287 269 269 274 262 261 268 259 264 273 279 ... View the full answer