Specific Motors of Detroit has developed a new automobile known as the M car. 24 M cars and 28 J cars (from Japan) were road tested to compare miles-per-gallon (mpg) performance. sample 1 (M cars) : n1 = 24, X ̄1 = 29.8, s1 = 2.56 sample 2 (J cars) : n2 = 28, X ̄2 = 27.3, s2 = 1.81 (a) Develop a 90% confidence interval estimate of the dif- ference between the mpg performances of the two models of auto- mobile μ1 − μ2. (b) Can we conclude, using a .05 level of significance, that the miles-per-gallon (mpg) performance of M cars is greater than the miles-per-gallon performance of J cars?           (a) State the hypothesis.           (b) Decide the significance level.           (c) Calculate the test statistic.

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Specific Motors of Detroit has developed a new automobile known as the M car. 24 M cars and 28 J cars (from Japan) were road tested to compare miles-per-gallon (mpg) performance.

sample 1 (M cars) : n1 = 24, X ̄1 = 29.8, s1 = 2.56

sample 2 (J cars) : n2 = 28, X ̄2 = 27.3, s2 = 1.81

(a) Develop a 90% confidence interval estimate of the dif- ference between the mpg performances of the two models of auto- mobile μ1 − μ2.

(b) Can we conclude, using a .05 level of significance, that the miles-per-gallon (mpg) performance of M cars is greater than the miles-per-gallon performance of J cars?

          (a) State the hypothesis.

          (b) Decide the significance level.

          (c) Calculate the test statistic.

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