Fa05Ex1A

Fa05Ex1A - COURSE DSCI 3710 Exam 1 Version A SEMESTER Fall...

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1 Please use the information given in the paragraph below to answer the four questions that follow. An automobile manufacturer claims their car gives at least 30.0 miles/gallon (mpg). An independent testing firm has been contracted to test the mpg of the car. They tested 15 vehicles and their analysis of the data using Excel is given below. They suspect that the cars’ mpg performance is even better than what the manufacturer claims; and the true mean mpg may be over 30. Is there sufficient evidence, at the 0.01 significance level, that the cars’ performance is better than their manufacturer’s mpg rating? t Test for Population Mean MPG Number of Observations 15 Sample Standard Deviation 3.501809 Sample Mean 31.853333 XXXX XXXX T* 2.049777 P[ T T*] 0.029802 T Critical, α = 0.01 2.624494 99% CI for Pop. Mean 29.161782 t o xxxxxxxx 1. Which of the following would be appropriate for the alternative hypothesis? A. μ = 30 B. μ > 30 C. μ < 30 D. μ > 30* E. μ ≤ 30 2. The decision rule, based on the Table value is: to reject Ho if t* A. > 2.62 * B. < 2.62 C. > the p-value D. > 2.05 E. < 2.05 3. What is the decision and conclusion of the test? A. Reject Ho, conclude there is convincing evidence that the cars do not perform better than manufacturer’s mpg rating. B. F.T.R. Ho, conclude there is insufficient evidence that the cars perform better than the
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Fa05Ex1A - COURSE DSCI 3710 Exam 1 Version A SEMESTER Fall...

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