You wish to test the following claim (HaHa) at a significancelevel of ?=0.05?=0.05.
Ho:?1=?2Ho:?1=?2
Ha:?1>?2Ha:?1>?2
You obtain the following two samples of data.
| Sample #1 | Sample #2 |
|---|
| 67.8 | 100.5 | 96.8 | 59.4 | | 66.7 | 86.2 | 89.2 | 86.7 | | 70.6 | 100.5 | 65.8 | 77.4 | | 78.4 | 71.9 | 69.3 | 61.4 | | 69.6 | 81.6 | 90.4 | 75.3 | | 83.4 | 70.9 | 84.5 | 75.3 | | 62 | 58.6 | 77.4 | 73.8 | | 70.6 | 83 | 83 | 63.6 | | 76.2 | 61.4 | 75.6 | 84.5 | | 92.6 | 87.6 | | |
| | 73.9 | 77.3 | 77.8 | 64.9 | | 67.5 | 49.7 | 87 | 56.5 | | 96.1 | 75.8 | 84.1 | 39.6 | | 63.8 | 68.5 | 88.3 | 84.1 | | 74.4 | 75.3 | 95.1 | 67 | | 57.8 | 37.1 | 85.2 | 103.4 | | 55 | 79.8 | 52.5 | 66.5 | | 28.5 | 101.9 | 48.7 | 75.3 | | 63.8 | 75.8 | 28.5 | 72.9 | | 62.2 | 97.1 | 86.4 | 89.6 |
|
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) ??
- greater than ??
This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
As such, the final conclusion is that...
- There is sufficient evidence to warrant rejection of the claimthat the first population mean is greater than the secondpopulation mean.
- There is not sufficient evidence to warrant rejection of theclaim that the first population mean is greater than the secondpopulation mean.
- The sample data support the claim that the first populationmean is greater than the second population mean.
- There is not sufficient sample evidence to support the claimthat the first population mean is greater than the secondpopulation mean.
