Question

You wish to test the claim that the first population mean is greater than the second population mean at a significance level of α=0.005   

Ho:μ1=μ2
Ha:μ1>μ2

You obtain the following two samples of data.

Sample #1	Sample #2
65.9 60.1 54.0 42.6 58.7 52.4 37.2 38.8 56.0 49.2 64.2	32.3 54.4 35.2 48.9 69.2 42.6 31.2 25.6 50.6 45.0 58.3 37.5

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) αα
   • greater than αα
   
   
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.

Answer 1