Consider again the data in Exercise 1, but suppose that we can only distinguish cells with two or more molecules from those with one or fewer. Find how many cells are in each of these two categories and compare with the appropriate extrinsic hypothesis. Why might the test give a different result than with the un pooled data?
Suppose that the number N of molecules of toxin left in a cell after 10.0 min is thought to follow the probability distribution with Pr(N = 0) = 0.4, Pr(N = 1) = 0.3, Pr(N = 2) = 0.2, and Pr(N = 3) = 0.1 (as in Example 6.3.11). Test whether the following data fit the expectation from this extrinsic hypothesis.
Exercise 1
There are 35 cells with no molecules, 25 with one molecule, 25 with two molecules, and 15 with three molecules.