In Problem 24 from Section 10.3, we considered whether a filling machine was calibrated correctly. Another aspect of the calibration is the variability in the amount of juice in the bottle. Suppose the machine is calibrated so that it fills the bottles with a standard deviation of 0.04 ounce. Do the sample data suggest the machine may be "out of control," that is, have too much
variability? In Problem 24 from Section 10.3, we were told that the data could come from a population that is normally distributed. Use the a = 0.05 level of significance.