What isnbspthe point estimatenbspfor the unknown

Reference no: EM13620792

Records pertaining to the hourly brown trout catch have been obtained in order to include this parameter into a simulation model of hatcheries and fishing in a world-famous trout stream. You receive this table:

Number of Brown Trout Caught each Hour	Frequency of Occurrence
0	30
1	35
2	23
3	8
4	5
5	1
6	1

You think the data is Poisson distributed, i.e.: if X = number of brown trout caught each hour, then:

X ~ Poi(a) with p(x) =(e^-alpha * alpha^x) / x ! , x = 0, 1, 2, 3, 4, ...

a. What is the point estimate for the unknown parameter alpha?

b. Use the c² goodness of fit test to test the hypothesis that the number of brown trout caught each hour is Poisson distributed, using the point estimate of alphaafrom part alpha. Use a significance level of 0.05 for the test. State your hypotheses, your test statistic, and complete the test with a conclusion.

Reference no: EM13620792

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