( \"na type o\' error might have resulted from this test? 14. Gasoline mileage i
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Question
( "na type o' error might have resulted from this test? 14. Gasoline mileage is to be compared for two automobiles, A and B, by testing each automo- bile on five brands of gasoline. Each car used one tank of each brand, with the following results (in miles per gallon) Brand Car A Car B 39.3 28.2 39.4 28.4 38.7 28.1 39.8 28.0 39.9 28.6 We wish to test the null hypothesis Ho : -H2 = 10 against the alternative hypothesis Ha : 1-142 > 10 (a) Calculate the test statistic and the p value for this test. (b) At a 5% significance level, what decision is appropriate for this test?Explanation / Answer
Two-sample T for C1 vs C2
N Mean StDev SE Mean
C1 6 33.0 15.7 6.4
C2 5 28.260 0.241 0.11
Difference = (C1) - (C2)
Estimate for difference: 4.74
95% lower bound for difference: -8.27
T-Test of difference = 10 (vs >): T-Value = -0.74 P-Value = 0.761 DF = 9
Both use Pooled StDev = 11.7206
a)
TS = -0.74
p-value = 0.761
b)
p-value > 0.05
we fail to reject the null hypothesis
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