Number of defective monitors manufactured in day shift andafternoon shift is to be compared. A sample of the production fromsix day shifts and eight afternoon shifts revealed the followingnumber of defects.
Day 4 5 8 6 7 9
Afternoon 9 8 10 7 6 14 11 5
Is there a difference in the mean number of defects per shift?Choose an appropriate significance level.
(a) State the null hypothesis and the alternativehypothesis.
(b) What is the decision rule?
(c) What is the value of the test statistic?
(d) What is your decision regarding the null hypothesis?
(e) What is the p-value? (f ) Interpret the result.
(g) What assumptions are necessary for this test?
(Typed answer preferred)