The null and alternate hypotheses are: H0 : μd ≤ 0 H1 : μd >0
The following sample information shows the number of defectiveunits produced on the day shift and the afternoon shift for asample 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 moredefects 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 2decimal 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?