A student conducts a lab exercise to calculate the acceleration of gravity, g, and gets a value of 9.5 m/s^2 with a standard deviation of 0.1.The student knows that the answer at his altitude and earth coordinates should be 9.8 m/s^2 . What is the probability of getting this result due to random chance (random error) alone? Neglecting outright blunders (he is a careful experimenter), comment on a possible cause for the result.

Aquality characteristic of new iphone x made at the amsterdam plant at apple computers has a manufacturing specification (in mm) of 0.200 +/- .07. historical data indicates that if the quality characteristic takes on values greater than 0.27 or smaller than 0.13 the component fails at a cost of20.19. based on these data: determine the taguchi loss function (must show work) calculate an estimated loss for a quality characteristic of .30 calculate an estimated loss for quality characteristic of .40.