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Two models of a popular pick-up truck are tested for miles per gallon (mpg) gasoline consumption....

Two models of a popular pick-up truck are tested for miles per gallon (mpg) gasoline consumption. The Pacer model was tested using a random sample of n1=9 trucks and the sample mean of 27.3 mpg with sample standard deviation s1=6.2 mpg.

The Road Runner model was tested using a random sample of n2=14 trucks. The sample mean was 22.5 mpg with sample standard deviation s2=6.8 mpg.

Does this indicate that the population mean gasoline consumption for the Pacer is higher than that of the Road Runner? Use α=0.01

(A) State the null and alternate hypotheses and the level of significance. Is the test left-tailed, right-tailed, or two-tailed?

(B) Identify the appropriate sampling distribution: the standard normal or the Student’s t.

(C) What is the value of the sample test statistic?

(D) Find or estimate the P-value.

(E) Based on your answers for parts (a) through (d), will you reject or fail to reject the null hypothesis?

Math   Statistics-And-Probability   
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