You wish to test the claim that the first population mean is greater than the second population mean$\displaystyle$ at a significance level of $\displaystyle \alpha={0.05}$.     

$\displaystyle {H}_{{o}}:\mu_{{1}}=\mu_{{2}}$
 $\displaystyle {H}_{{a}}:\mu_{{1}}>\mu_{{2}}$

You obtain the following two samples of data.

Sample #1	Sample #2
70.5 66.5 37.7 33.4 84.6 34.3 58.4 51.4 88.7 83.0 67.1	70.5 62.6 73.8 68.7 35.5 48.5 24.5 30.3 62.6 38.3 39.9 37.8 57.8

 

1. What is the test statistic for this sample?
   
   test statistic = Round to 3 decimal places.
   
   
2. What is the p-value for this sample?
   
   p-value = Use Technology Round to 4 decimal places.
   
   
3. The p-value is...
   • less than (or equal to) $\displaystyle \alpha$
   • greater than $\displaystyle \alpha$
   
   
   
4. This test statistic leads to a decision to...
   • reject the null
   • accept the null
   • fail to reject the null
   
   
   
5. As such, the final conclusion is that...
   • There is sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.
   • There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.
   • The sample data support the claim that the first population mean is greater than the second population mean.
   • There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.