You wish to test the following claim (H

a

Ha

) at a significance level of

=

0.001

=0.001

.

H

o

:

1

=

2

Ho:1=2

H

a

:

1

2

Ha:12

You obtain the following two samples of data.Sample #1Sample #271.175.359.897.681.952.182.455.656.856.887.382.475.661.988.148.149.357.351.368.162.368.872.874.258.380.961.974.961.980.464.289.980.970.175.672.885.869.163.163.571.474.73439.272.164.775.35677.86053.172.667.353.197.247.166.462.1101.980.66355.545.845.122.344.477.86377.861.265.650.667.843.658.264.25046.463.462.1101.953.652.664.747.1

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)
• greater than

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.