A major car manufacturer wants to test a new catalytic converter to determine whether it meets new air pollution standards. The mean emission of all converters of this type must be less than 20 parts per million of carbon. Ten (10) converters are manufactured for testing purposes and their emission levels are measured with a mean of 17.17 and a standard deviation of 2.98. Assume measurements are normally distributed.
-The appropriate test statistic to test the hypotheses is _____.
A)3.00
B)9.50
C)-0.95
D)-3.00
E)-9.50

Question

Quizplus · Accepted Answer

The appropriate test statistic for a one-sample t-test is (sample mean - hypothesized mean)/(standard error of the mean). Plugging in the given values, we get (60-65)/(6/sqrt(25)) = -3.00. Therefore, the answer is D.

A Major Car Manufacturer Wants to Test a New Catalytic