You wish to test the following claim (HaHa) at a significancelevel of α=0.02α=0.02.
Ho:μ1=μ2Ho:μ1=μ2
  Ha:μ1≠μ2Ha:μ1≠μ2
You believe both populations are normally distributed, but you donot know the standard deviations for either. However, you also haveno reason to believe the variances of the two populations are notequal. You obtain the following two samples of data.

Sample #1      

86.7	55	82
104.4	64.8	72.4
71.5	85.8	63.5
104.4	70.6	75.8
74.5	69.1	98.3
96.7	57.2	66.5
75.8	102	69.1

  

sample2

61.9	51	62.3
78.6	52.2	55.8
57.6	71.4	66.8
40.5	75	43.8
65.8	67.5	58.5
65.8	49.6	73.3
81.4	67.2	67.2
64.1	94.8	65.1

What is the test statistic for this sample? (Report answeraccurate to three decimal places.)
test statistic =

What is the p-value for this sample? For this calculation, use thedegrees of freedom reported from the technology you are using.(Report answer accurate to four 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 first population mean is not equal to the secondpopulation mean.
• There is not sufficient evidence to warrant rejection of theclaim that the first population mean is not equal to the secondpopulation mean.
• The sample data support the claim that the first populationmean is not equal to the second population mean.
• There is not sufficient sample evidence to support the claimthat the first population mean is not equal to the secondpopulation mean.