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 =