A manufacturing operation consists of a unique system that produces an average of 15.5 jet engine propulsion parts every hour. After undergoing a complete overhaul, the system was monitored by observing the number of parts produced in each of 17 randomly selected one-hour periods. The mean is 15.42 with a standard deviation of 0.16. Assume the number of parts produced is approximately normal.
-The appropriate test statistic to test the hypotheses is _____.
A)-0.50
B)-2.06
C)-8.50
D)0.50
E)2.06

Question

Quizplus · Accepted Answer

To test the hypotheses, we need to calculate the t-statistic using the formula t = (x̄-μ)/(s/√n), where x̄ is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Plug in the given values: t = (5.20 - 6) / (2.5 / √10) = -2.06

The appropriate test statistic to test the hypotheses is -2.06. Therefore, the answer is B.

A Manufacturing Operation Consists of a Unique System That Produces