Question

You wish to test the following claim (H1H1) at a significance level of α=0.005α=0.005.

      Ho:μ1=μ2Ho:μ1=μ2
      H1:μ1≠μ2H1:μ1≠μ2

You obtain a sample of size n1=83n1=83 with a mean of M1=74.6M1=74.6 and a standard deviation of SD1=10.4SD1=10.4 from the first population. You obtain a sample of size n2=75n2=75 with a mean of M2=72.3M2=72.3 and a standard deviation of SD2=9.1SD2=9.1 from the second population.

What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value = ±±

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

The test statistic is...

• in the critical region
• not in the critical region

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