SOLUTION: 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 k

Question 1191864: 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. We will assume that the population variances are not equal.
You obtain a sample of size n1=17 with a mean of M1=70.5 and a standard deviation of SD1=10.7 from the first population. You obtain a sample of size n2=14 with a mean of M2=79.6 and a standard deviation of SD2=8.7 from the second population.
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 conservative under-estimate for the degrees of freedom. The degrees of freedom is the minimum of n1 - 1 and n2 - 1. (Report answer accurate to four decimal places.)
p-value =
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The test statistic is delta mean/sqrt (V)
the numerator is m1-m2=-9.1
the denominator is sqrt {(s1^2/n1)+(s2^2/n2)}=sqrt (12.14)=3.48
the test statistic is -2.612
the critical value is for t(0.0001, df=29)=-3.396
p-value is 0.0141
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