At an assembly plant for light trucks. the quality of welds are routinely monito

Question

At an assembly plant for light trucks. the quality of welds are routinely monitored (classified into "High Quality, 'Moderate Quality, and 'low Quality"). A supervisor is interested in if the quality is affected throughout the day. so, he looks at the quality of welds produced during three shifts ("Day Shift". "Evening Shift", and 'Night Shift"). We run a Chi-Square Test for Independence. Oven the R output below, determine the test statistic, p-value. and which cell deviates the most from what would be expected under independence welds - matrix (c(467 445 254 191 171 129 42 34 17) 3 3 dimanes-1 st(c(Day shift "Evening Shift Night Shift") c(High Quality Moderate Quality Low Quality"))) test, this test(welds); test Pearson's chi-squared test data: m, fields X-squared - 5.7634 of - 4 p-value - theta 2178

Explanation / Answer

Sol:

Hypothesis: Null hypothesis: Assumes that there is no association between quality of welds ( the three variables.)

Alternative hypothesis: Assumes that there is an association between quality of welds (the three variables)

From above output:

chi sq test statistic=5.7604

p value =0.2178

p>0.05

Fail to reject null hypothesis

In night shift observation(3,2) that is 129 observation deviates as expecetd frequency is 112 difference is 17

so that observation deviates

Conclusion:

quality is not affected throughout the day

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