In: Statistics and Probability
Number of defective monitors manufactured in day shift and afternoon shift is to be compared. A sample of the production from six day shifts and eight afternoon shifts revealed the following number 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 alternative hypothesis.
(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?