Question

You wish to test the following claim (Ha) at a significance level of α=0.10.

      Ho:μ1=μ2
      Ha:μ1≠μ2

You obtain the following two samples of data.

Sample #1	Sample #2
93.1 95.7 111.5 97.6 84.8 89.2 101.5 87.5 92.2 105.5 65.3 102 75.5 65.3 94.4 97.6 95.7 101 125.6 72 81.5 69.5 109 66.5 85.7 113.4 93.5 99.5 94.8 74.2 87.9 68.6 90.5 130.3 80.5 83 87.5 91.4 108.2 62.4 89.6 98.5 106.8 103.1 88.8 83.4 67.6 103.1 107.5 108.2 90.1 72.8 83.9 106.8 112.4 65.3 91.4 68.6 104.3 113.4 103.7	85.6 87.5 101.4 76.7 98.9 105 89.6 100.5 96.1 99.3 98.9 91.7 88.8 116.5 76.7 108 113.9 80.8 94.9 102.7 94.5 86.6 104 95.7 100.5 89.2 101.4 84.6 90.5 116.5 69.3 105 97.3 91.7 78.9 107

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

What is the p-value for this sample? For this calculation, use the degrees 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 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

From the given data

Test for difference of means:

test statistic = -1.224

The p-value is 0.2243

• greater than α = 0.10

This test statistic leads to a decision to...

• accept the null

As such, the final conclusion is that...

• There is not sufficient sample evidence to support the claim that the first population mean is not equal to the second population mean.