The production department of a paper products manufacturer is analyzing the frequency of breakdowns in a certain type of envelope machine as it contemplates future machinery repair and replacement policy. It has been suggested that the number of breakdowns per day is a Poisson distributed random variables, and the department intends to test this conjecture. Forty days worth of observations on the number daily machine breakdowns yielded the following observations which occurred in sequence row-wise:

(a) Test the hypothesis that the observations are a random sample outcome from some population distribution. Use a .10 level test.

(b) Test the hypothesis that the observations are from a Poisson population distribution. Use a size .10 test.

(c) Test the hypothesis that the observations are from a Uniform population distribution. Use a size .10 test.

(d) Test the hypothesis that the expected number of daily breakdowns for this equipment is \(\geq 8\) using a significance level of .10. Use whatever test procedure you feel is appropriate. Based on this test procedure, calculate a . 90 level confidence interval for the expected number of daily breakdowns.

Transcribed Image Text:

4 8 3 5 8 7 4 6 7 6 8 6 (0) 1 3 9 4 3 4 4 2 7 2 1 2 0 3 9 3 0 - - - - - - - - - 8 8 0 3 2