Question

In: Statistics and Probability

A company has production factories in Vancouver, Montreal, and Toronto. There are three different production defects...

A company has production factories in Vancouver, Montreal, and Toronto. There are three different production defects that can arise in the production process, we’ll call them defect A, defect B and defect C. During a recent week, the factories in the three cities reported the following occurrences of the three types of product defects: Vancouver Montreal Toronto Defect A 19 26 12 Defect B 21 16 28 Defect C 23 20 45

(a) Which factory has the highest percentage of type B defects? Provide the relevant percentages to support your answer.

(b) Compute the expected frequency table under the hypothesis that the type of production defect and the factory are independent variables.

(c) Compute the χ^2 test statistic and decide whether there is statistically significant evidence of an association between type of production defect and factory, using a significance level of 0.02.

(d) Which factory had a significantly larger than expected number of type A defects?

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Expert Solution

orchestra answered 1 year ago
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