It is desired to check the calibration of a scale by

Chapter 6, Problem 11E

(choose chapter or problem)

It is desired to check the calibration of a scale by weighing a standard 10 g weight 100 times. Let μ be the population mean reading on the scale, so that the scale is in calibration if μ = 10. A test is made of the hypotheses \(H_{0}: \mu\) = 10 versus \(H_{1}: \mu\) = 10. Consider three possible conclusions: (i) The scale is in calibration. (ii) The scale is out of calibration. (iii) The scale might be in calibration.

a. Which of the three conclusions is best if \(H_{0}\) is rejected?

b. Which of the three conclusions is best if \(H_{0}\) is not rejected?

c. Is it possible to perform a hypothesis test in a way that makes it possible to demonstrate conclusively that the scale is in calibration? Explain.

Equation transcription:

Text transcription:

H_{0}

H_{0}: \mu

H_{1}: \mu