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Activity . +-Procedures name: I did an "Eggsperiment" with a fellow instructor one day. His calculus class was studying volumes of solids by rotating curves around the x-axis. We first modeled the volume of an egg as an ellipsoid, measured the eggs with calipers, and used the calculus formula. Then, each egg was also measured for volume using a water displacement method. We wanted to know if the two methods agreed or not. The question we want to answer in this activity: "Is there evidence that the two methods differ?" The data were Egg Calculus Water The hypotheses for this test are: Displacement Ho: Hd = 0 1 60.90 60 Ha: Ha # 0 50.77 58.5 where ua is the mean of the differences in the volume 3 49.99 45 measurements obtained from using the two methods. 4 79.16 75 To run this test, first find the differences between each pair of measurements, enter these differences in the 75.91 65 table, and enter these differences in a list in your 54.7 55 calculator. Then, run a f-test (#2 on the test menu) on that list of data. (Assume the population is 64.9 62.5 approximately normal.) 62.14 60 a) Find the test-statistic and the P-value. 9 57.62 60 1= P-Value = b) Based on a significance level of 0.05, what is your conclusion and what does this mean in terms of the