You wish to test the following claim ( H a ) at a significancelevel of α = 0.01 . H o : μ 1 = μ 2 H a : μ 1 ≠μ 2 You obtain thefollowing two samples of data.
| Sample #1 | |
|---|
| 41.9 | 75.5 | 62 | 21.3 | | 43.8 | 21.3 | 60 | 82.3 | | 55.4 | 73.2 | 37.7 | 42.4 | | 52.8 | 49 | 27.1 | 45.1 | | 62 | 48.2 | 43.3 | 59 | | 66.1 | 53.2 | 51.5 | 19.1 | | 31.8 | 39.9 | 46.4 | 41.9 | | 38.3 | 68.8 | 36 | 53.7 | | 25.9 | 71.3 | 44.7 | 68.1 | | 75.5 | 39.4 | 47.7 | 47.7 | | 40.9 | 72.2 | 36.6 | 66.1 | | 54.1 | 80.1 | 31 | 32.6 | | 51.1 | 37.7 | 49 | 36 |
|
sample 2
| 21.4 | 36.7 | 21.4 | 61.1 | | 83.6 | 61.1 | 65.9 | 35.1 | | 35.1 | 43.5 | 43.5 | 54.5 | | 41.4 | 60.6 | 61.7 | 72.2 | | 59.2 | 29.4 | 43.9 | 36.7 | | 31.8 | 66.6 | 42.7 | 23.3 | | 63.9 | 57.4 | 66.6 | 31 | | 51.8 | 57.4 | 49.2 | 45.5 | | 54.5 | 49.6 | 52.2 | 63.9 | | 23.3 | 54.9 | 57 | 52.2 | | 50.3 | 51.4 | 44.7 | 72.2 | | 47.7 | 44.3 | 61.7 | 32.5 | | 36.7 | 77 | 79.6 | 56.5 | | 26.2 | 59.2 | 61.7 | 43.1 | | 57.4 | 24.9 | 75.1 | 71 | | 62.7 | 66.6 | 43.5 | 63.3 | | 57.4 | | | |
|
What is the test statistic for this sample? (Report answer accurateto three decimal places.)
test statistic =
What is the p-value for this sample? For this calculation, use thedegrees of freedom reported from the technology you are using.(Report answer accurate to four decimal places.)
p-value =
The p-value is...
- less than (or equal to) αα
- greater than αα
This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
