You wish to test the following claim (H

a

Ha

) at a significance level of

=

0.005

=0.005

.

H

o

:

1

=

2

Ho:1=2

H

a

:

1

2

Ha:12

You obtain the following two samples of data.Sample #1Sample #283.483.784.470.479.894.882.38680.784.486.985.379.191.884.277.282.875.584.480.776.978.18481.478.597.584.281.785.293.373.573.568.797.591.884.786.975.879.884.582.388.375.28270.482.585.390.490.1107.176.393.589.485115.169.470.5115.193.591.1113.4102.381.173.8109.772.396.789.181.982.399.578.481.577.48588.8102.3109.7101.376.381.159.269.477.4108.8105.775.7109.783.987.490.191.1

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.