Question

You wish to test the claim that the first population mean is not equal to the second population mean at a significance level of α=0.005α=0.005.     

Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1≠μ2Ha:μ1≠μ2

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

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 not equal to the second population mean.
   • There is not sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean.
   • The sample data support the claim that the first population mean is not equal to the second population mean.
   • There is not sufficient sample evidence to support the claim that the first population mean is not equal to the second population mean.

Answer 1

The test statistic for this sample = 3.740

P-value = 0.0011

The p-value is less than (or equal to) α

This test statistic leads to a decision to - reject the null

As such, the final conclusion is that -

• There is not sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean.