Use the information given below to answer the next 4 questions. One Automobile C

Question

Use the information given below to answer the next 4 questions. One Automobile Company believes there is a difference between the durability of two brands of tires, Michelin and Goodyear. The company decides to test the belief by running two experiments. In one experiment, technicians use a machine with a metallic device to wear down the tires and records the tread depth on a random sample of 14 tires of each brand a new tires are spun for an equivalent of 10,000 miles. In the other experiment, technicians mount new tires of each brand on the rear axle of 14 randomly selected cabs and records tread depth after the cabs are driven 10,000 miles. Excel outputs for the tests, on sample data, conducted at the 10% the significance level are shown in the tables below. t-Test: Two Sample Assuming Equal variances Goodyear Michelin Mean 1.301667 1.309167 Variance 0.005415 0.001517 Observations 12 Pooled Variance 0.003466 Hypothesized Mean Difference df 22 t Stat -0.31204 P(T kat) one-tail 0.378976 t Critical one-tail 1.717144 POTkat) two-tail 0.757951. t Critical two-tail 2.073873

Explanation / Answer

Q15) Test statistic will be -0.385

Option C is correct

Q16) Test statistic will be -0.312

Option D is correct

Q17) P value will be 0.708

Option C is correct

Q18) Option B is correct since p value ( 0.758) is greater than 0.10 level

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