Question: a. Let X1,..., Xn be a random sample from a Poisson population with parameter A and define Y = Xi. In Example 9.2.15 a confidence

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 Î» was found using the method of Section 9.2.3. Construct another interval for Î» 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.

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

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