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 12 12 16 19
Afternoon shift 10 10 12 15
At the 0.010 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.
a. State the decision rule. (Round your answer to 2 decimal places.)
b. Compute the value of the test statistic. (Round your answer to 3 decimal places.)
c. What is the p-value?
d. What is your decision regarding H0?