You wish to test the following claim (H1) at a significancelevel of α=0.01.
      Ho:μ=50.6
      H1:μ<50.6
You believe the population is normally distributed, but you do notknow the standard deviation. You obtain the following sample ofdata:
| data |
|---|
| 42.1 |
| 26.9 |
| 40.1 |
| 40.6 |
| 28.7 |
| 26.4 |
| 7.8 |
| 22.9 |
| 51.2 |
What is the critical value for this test? (Report answer accurateto three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurateto three decimal places.)
test statistic =
The test statistic is...
- in the critical region
- not in the critical region
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 population mean is less than 50.6.
- There is not sufficient evidence to warrant rejection of theclaim that the population mean is less than 50.6.
- The sample data support the claim that the population mean isless than 50.6.
- There is not sufficient sample evidence to support the claimthat the population mean is less than 50.6.
Please explain how to do this problem on a TI-84 calculator.Thanks!!!
