Refer to Exercise 12.5. Consider two methods for selecting the dosages. Method 1 assigns
Chapter 12, Problem 12.6(choose chapter or problem)
Refer to Exercise 12.5. Consider two methods for selecting the dosages. Method 1 assigns three rats to the dosage x = 2 and three rats to x = 5. Method 2 equally spaces the dosages between x = 2 and x = 5 (x = 2, 2.6, 3.2, 3.8, 4.4, and 5.0). Suppose that is known and that the relationship between E(Y ) and x is truly linear (see Chapter 11). If we use the data from both methods to construct confidence intervals for the slope 1, which method will yield the longer interval? How much longer is the longer interval? If we use method 2, approximately how many observations will be required to obtain an interval the same length as that obtained by the optimal assignment of method 1?
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