Aspinach producer is testing a new packaging line. they want the mean weight of spinach in each packageto be 8 ounces. if the mean is too high, they will lose money, and if the mean is too low, customers will getangry. they run the machine for a few days to get a large population of packages, then select 12 packagesat random and weigh the spinach in each. if they find strong evidence the mean is too high or low, they canrecalibrate the machine. here are the sample weight (in ounces): 7.7, 6.8, 8.0, 7.4, 7.1, 7.4, 7.2, 7.3, 8.3, 7.7, 7.6, 7.0(a) choose an appropriate test statistic for this situation and justify your answer. then compute the observed value of the test statistic for this data.(b) find the rejection region if we desire a test with α = 0.01.(c) make a reject or not reject conclusion. then state the conclusion in the context of the problem. in other words, does it seem the packaging line needs recalibrating, and if so, in which direction?