Within the sector of humanitarian medicine supply chain, the average pack price of the medicines shipped is found to be $110. SAVE international feels that in year 2020, its average is different from the sector's benchmark and they want you to investigate the hypothesis. You randomly collected a data sample of 50 shipments from the year 2020 and computed the average and the standard deviation of the price for this sample. You found that the average for the sample was $125 while standard deviation was $35.

a. What would be the null and the alternative hypothesis for testing SAVE International's assumption?

b. At the 0.01 significance level, undertake an appropriate test to determine whether the average pack price has changed. Graphically show the rejection region for the null hypothesis.

c. Communicate the outcome of the test to board members of SAVE International in plain English as these board members are not well-versed in statistics.