You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1≠μ2Ha:μ1≠μ2 You obtain a sample of size n1=41n1=41 with a mean of M1=80.4M1=80.4 and a standard deviation of SD1=17.5SD1=17.5 from the first population. You obtain a sample of size n2=63n2=63 with a mean of M2=70.9M2=70.9 and a standard deviation of SD2=19.3SD2=19.3 from the second population.
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1≠μ2Ha:μ1≠μ2
You obtain a sample of size n1=41n1=41 with a
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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