Directions: Write out the solution for this hypothesis test: State the hypotheses (Ho and HA) b) Calculate the appropriate test statistic, showing your work (at minimum, show the formula, the numbers filled into the formula, and the final answer) c) Decide whether or not to reject Ho. State your decision clearly. a. For this step, show both the critical value approach and the p-value approach d) Interpret the hypothesis test and answer the question. Be sure to reference the significance level in your interpretation. 4. A coffee roaster sells bags of coffee beans. Its filling process specifies that bags should be filled to an average weight of 454 grams. Both under-filling and overfilling are problematic for the roaster. For quality control, the company randomly sampled 35 bags of coffee beans and measured the fill weight in each one. In the sample, the mean fill weight was 470 grams and the standard deviation was 43 grams. Using an a = 0.05 significance level, perform and interpret a hypothesis test to determine whether the mean fill weight of the bags is different from 454 grams. Does your result suggest that the process is out of adjustment