According to a technician's study, male coworkers had 11.4 hours per month of overtime last year, on average. A random sample of 15 male coworkers was surveyed and the mean amount of overtime per month each male coworker worked was 10.7. This data has a sample standard deviation of 1.5. (Assume that the scores are normally distributed.) Researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of overtime per month each male coworker worked is different than the mean amount of overtime last year. The H0:μ=11.4; Ha:μ≠11.4, which is a two-tailed test. The test statistic is determined to be t0=−1.807 Using the partial t-table below, determine th
According to a technician's study, male coworkers had 11.4 hours per month of overtime last year, on average. A random sample of 15 male coworkers was surveyed and the mean amount of overtime per month each male coworker worked was 10.7. This data has a sample standard deviation of 1.5. (Assume that the scores are
Researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of overtime per month each male coworker worked is different than the mean amount of overtime last year.
The H0:μ=11.4; Ha:μ≠11.4, which is a two-tailed test.
The test statistic is determined to be t0=−1.807
Using the partial t-table below, determine the critical value(s). If there is only one critical value, leave the second answer box blank.
| df | t0.10 | t0.05 | t0.025 | t0.01 | t0.005 |
|---|---|---|---|---|---|
| ... | … | … | … | … | … |
| 12 | 1.356 | 1.782 | 2.179 | 2.681 | 3.055 |
| 13 | 1.350 | 1.771 | 2.160 | 2.650 | 3.012 |
| 14 | 1.345 | 1.761 | 2.145 | 2.624 | 2.977 |
| 15 | 1.341 | 1.753 | 2.131 | 2.602 | 2.947 |
| 16 | 1.337 | 1.746 | 2.120 | 2.583 | 2.921 |
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