You wish to test the claim that the first population mean is notequal to the second population mean at a significance level of?=0.005?=0.005.
Ho:?1=?2Ho:?1=?2
Ha:?1??2Ha:?1??2
You obtain the following two samples of data.
| Sample #1 | Sample #2 |
|---|
| 100.7 | | 93.4 | | 98.6 | | 83.3 | | 98.6 | | 99.1 | | 83.0 | | 91.4 | | 104.9 | | 81.0 | | 99.6 | | 79.1 |
| | 75.2 | | 79.0 | | 74.8 | | 83.1 | | 86.4 | | 82.6 | | 65.1 | | 65.9 | | 82.0 | | 81.0 | | 81.8 | | 95.3 | | 80.0 | | 92.0 | | 80.6 |
|
|---|
- What is the test statistic for this sample?
test statistic = Round to 3 decimal places.
- What is the p-value for this sample?
p-value = Use Technology Round to 4 decimalplaces.
- 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 not equal to the secondpopulation mean.
- There is not sufficient evidence to warrant rejection of theclaim that the first population mean is not equal to the secondpopulation mean.
- The sample data support the claim that the first populationmean is not equal to the second population mean.
- There is not sufficient sample evidence to support the claimthat the first population mean is not equal to the secondpopulation mean.
