You wish to test the following claim (H1) at a significancelevel of α=0.02.
      Ho:μ=52.5
      H1:μ<52.5
You believe the population is normally distributed, but you do notknow the standard deviation. You obtain the following sample ofdata:
What is the test statistic for this sample? (Report answer accurateto three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate tofour 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
As such, the final conclusion is that...
- There is sufficient evidence to warrant rejection of the claimthat the population mean is less than 52.5.
- There is not sufficient evidence to warrant rejection of theclaim that the population mean is less than 52.5.
- The sample data support the claim that the population mean isless than 52.5.
- There is not sufficient sample evidence to support the claimthat the population mean is less than 52.5.
Please explain how to solve on a TI-84 if possible. Thanks!
