3. A machine produces ball bearings. The standard deviation remains constant at 0.010 cm. However, the mean diameter can change after the machine has been used for some time. In particular, the mean increases if it changes from 3.000. A dain sample of 30 bearings is obtained and sample average is found to be 3.003. Test the hypothesis and state your conclusion for or. = 0.01. a. Hypotheses are: ? oLmlmln-mnummam- b. Test statistic? c. P-Value? \"Th" Imm- \"tyre-up. (1. Include a graph that shows the relative position of the sample outcome and shade the area corresponding to the p-value. Make sure that the horizontal axis is scaled. e. Decision? f. Conclusion