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This question has 2 parts. A company produce printed circuit boards (PCBs). A random sample of 100 PCBs has been taken from a recent production

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This question has 2 parts. A company produce printed circuit boards (PCBs). A random sample of 100 PCBs has been taken from a recent production run and the number of defects on each board recorded. The data are provided below: Number of defects Observed frequency 0 22 1 36 2 21 3 12 4+ 9 The company would like to carry out a X2-square goodness of t test, with the hypotheses H0 : The data are from a Poisson distribution; Ha : The data are not from a Poisson distribution. The oompany would like to carry out a X2 -square goodness of t test, with the hypotheses H0 : The data are from a Poisson distribution; Ha, : The data are not from a Poisson distribution. i) What estimate for the population mean defects per board should be used in this test? 0 0.6 O 1.5 O 12.0 0 1.0 O 6.0 ii) What is the appropriate degrees of freedom for the test? O 2 O 1 0 3 0 4 0 5

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