The null and alternative hypotheses are:
H0:μd≤0H0:μd≤0
H1:μd>0H1: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 | 13 | 12 | 13 | 17 |
Afternoon shift | 11 | 9 | 12 | 15 |
At the 0.10 significance level, can we conclude there are more defects produced on the Afternoon shift?
a. State the decision rule. (Round the final answer to 3 decimal places.)
H_{0} is (Click to select) rejected not rejected if t > .
b. Compute the value of the test statistic. (Round the final answer to 3 decimal places.)
Test statistic
c. What is your decision regarding the null hypothesis?
H_{0} should (Click to select) be rejected not be rejected .
d. Determine the p-value. (Round the final answer to 4 decimal places.)
The p-value is .
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