Question

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 .05 significance level, can we conclude there are more defects produced on the day shift?

1. State the decision rule. (Round your answer to 2 decimal places.)

Reject H0 if t >

2. Compute the value of the test statistic. (Round your answer to 3 decimal places.)

value of the test statistic

3. What is the p-value?

p-value

4. What is your decision regarding H0?

Answer 1

1) Reject H0 if t > 2.353

2)

value of the test statistic t=5.196

3) p-value =0.0069

4) reject Ho