a. Let X1,..., Xn be a random sample from a Poisson population with parameter A and define Y = ˆ‘Xi. In Example 9.2.15 a confidence interval for λ was found using the method of Section 9.2.3. Construct another interval for λ by inverting an LRT, and compare the intervals.
b. The following data, the number of aphids per row in nine rows of a potato field, can be assumed to follow a Poisson distribution:

Use these data to construct a 90% LRT confidence interval for the mean number of aphids per row. Also, construct an interval using the method of Example 9.2.15.

Transcribed Image Text:

155, 104, 66, 50, 36, 40, 30, 35 42.