The Formula work must be shown. Two different models of cars were tested for gas

Question

The Formula work must be shown. Two different models of cars were tested for gas mileage. Test the claim that the models have the same gas mileage at the .05 level. Assume the variances to be unequal. State the hypotheses and identify the claim, find the critical value(s), compute the test value, make the decision and summarize the results.

Car A        Car B N1=9         N2=13 X1=28.6     X2=32.1 S1=4.1       S2=2.1 The Formula work must be shown. Two different models of cars were tested for gas mileage. Test the claim that the models have the same gas mileage at the .05 level. Assume the variances to be unequal. State the hypotheses and identify the claim, find the critical value(s), compute the test value, make the decision and summarize the results.

Car A        Car B N1=9         N2=13 X1=28.6     X2=32.1 S1=4.1       S2=2.1

Explanation / Answer

Ho: x1= x2 Ha: x1 =/ x2 Test statistic (x1-x2)/sqrt(s1^2/n1 + s2^2/n2)= (28.6-32.1)/1.4856= -2.356 Looking up in t table with degrees of freedom 8 (smaller of n1-1 and n2-1) We get 0.02

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