In: Statistics and Probability
The null and alternate hypotheses are:
H0 : μd ≤ 0
H1 : μd > 0
The following sample information shows the number of defective units produced on the day shift and the afternoon shift for a sample of four days last month.
Day | ||||
1 | 2 | 3 | 4 | |
Day shift | 11 | 12 | 13 | 19 |
Afternoon shift | 9 | 10 | 14 | 15 |
At the 0.025 significance level, can we conclude there are more defects produced on the day shift? Hint: For the calculations, assume the day shift as the first sample.
1. State the decision rule. (Round your answer to 2 decimal places.)
2. Compute the value of the test statistic. (Round your answer to 3 decimal places.)