In order to estimate the difference between the average miles per gallon of two different models of automobiles, samples are taken and the following information is collected.
Model A
Model B
Sample Size60
55
Sample Mean28
25
Sample Variance16
9
?
a.At 98% confidence, develop an interval estimate for the difference between the average miles per gallon for the two models.b.Is there conclusive evidence to indicate that one model gets a higher miles per gallon than the other? Why or why not? Explain.
What will be an ideal response?
?
| a. | 1.5 to 4.5 miles per gallon |
| b. | Because the range of the interval is from positive to positive, it indicates that there is conclusive evidence (at 98% confidence) that Model A has a larger mean. |
Business
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