(Solved): 3. (8 pts) It is desired to check the calibration of a scale be weighing a standard 10g weight 100 ...

3. (8 pts) It is desired to check the calibration of a scale be weighing a standard 10g weight 100 times. Let u be the population mean reading on the scale, so that the scale is in calibration if u = 10. A test is made of the hypothesis Ho:= 10 versus H: 4 = 10. Consider three possible conclusions: i) the scale is in calibration, ii) the scale is out of calibration or iii) the scale might be in calibration. a. Which of the three conclusions is best if He is rejected? Why? b. Which of the three conclusions is best if He is not rejected? Why?