Data was recorded on 150 workplace accidents. The number of days since the previ

Question

Data was recorded on 150 workplace accidents. The number of days since the previous accident is summarized in the following table

We want to check to see if a geometric model is appropriate for this data. P{X = x} = p(1 ? p) x

(a) Show that the MLE for this model is ˆp = 1/(¯x + 1).

(b) Calculate the MLE for p from the given set of data.

(c) Calculate the expected value for each number in this table if this data is from a geometric distribution.

(d) Is our rule of thumb satisified? How can we remedy the situation?

(e) Perform the ? 2 test to see if the geometric model is appropriate.

(f) Find the appropriate critical value for this test using the right number of degrees of freedom and ? = 0.05.

(g) What do we conclude?

Explanation / Answer

Data was recorded on 150 workplace accidents. The number of days since the previ

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