Provide an appropriate response. The following table entries are the times in se

Question

Provide an appropriate response. The following table entries are the times in seconds for three different drivers racing on four different tracks. Assuming no effect from the interaction between driver and track, test the claim that the three drivers have the same mean time. Use a 0.05 significance level. Remember smaller values of F result in larger p-values Track 1 Track 2 Track 3 Track4 68 71 Driver 1 72 70 Driver 74 71 66 Driver 31 76 64 Source DF SS MS F Driver 2 2 1 0.33 Track 3 9825 32.75 10.92 Error6 18 3 Total 11 118.25 Ho: There is no driver effect Ha: There is a driver effect State your conclusion about Ho- track. that mean driving time depends on the driver as well as the Ho. There is no evidence that driver effects mean driving time. Since the P-value is less than 0.05, we reject Ho and conclude that mean driving time depends on the driver as well as the drving track. Since the P.value is greater than 0.05, we falil to reject Since the P-value is less than 0.05, we reject Ho and conclude that mean driving time depends on the driver Since the P.value is greater than 0.05, we fail to reject Ho. There is no evidence that driver and track i time. r than 0.05, we fall to reject Ho There is no evidence that driver or driving track effect mean driving time evidence tha Since the P-value is greater than 0.05, we fail to reject Ho.

Explanation / Answer

As F - value for Driver effect = 0.33 so that will give p- value = Cdf F(0.33, 2,6) = 0.729

so as P - value is greater than 0.05 so we fail to reject H0,There is no evidence that driving effects mean driving time.

Only Option B is correct.

As option D talks about interaction term which are not included in null hypothesis and similarly, Option E is wrong because It includes both the effects not single driver effect as emphasized in hypothesis.

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