Question

# You wish to test the following claim (Ha) at a significance level of α=0.001       Ho:μ1=μ2       Ha:μ1≠μ2...

You wish to test the following claim (Ha) at a significance level of α=0.001

Ho:μ1=μ2
Ha:μ1≠μ2

You believe both populations are normally distributed, but you do not know the standard deviations for either. Use non-pooled test. You obtain a sample of size n1=17 with a mean of M1=51.4 and a standard deviation of SD1=16.2 from the first population. You obtain a sample of size n2=23 with a mean of M2=65.4 and a standard deviation of SD2=18.4 from the second population.

What is the critical value for this test? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (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.

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