The following output summarizes the results for a one-way analysis of variance experiment in which the treatments were three different hybrid cars and the variable measured was the miles per gallon (mpg) obtained while driving the same route. (You may find it useful to reference the g table.) Hybrid 1: _1-33, n1-20 Hybrid 2:239, n2 – 15 Hybrid 3:29, n3 18 Source of Variation Between Groups Within Groups Total df 1,181.44 1,439.34 2,620.78 MS 590.72 28.79 p-value 0.0000 20.52 50 a. At the 5% significance level, can we conclude that average mpg differs between the hybrids? Yes since the p-value is less than the significance level. Yes since the p-value is not less than the significance level No .since the p-value is less than the significance level No since the p-value is not less than the significance level b. Use Tukey’s HSD method at the 5% significance level to determine confidence intervals for the population mean differences and state which individual pairs of hybrids’ means differ. (If the exact value for nT -cis not found in the table, then round down Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your answers to 2 decimal places.) Population Mean Differences Can we conclude that the hybrids’ means differ? Confidence Interval
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