Question

In: Statistics and Probability

You wish to test the following claim ( H a ) at a significance level of...

You wish to test the following claim ( H a ) at a significance level of α = 0.001 . H o : μ 1 = μ 2 H a : μ 1 > μ 2 You believe both populations are normally distributed, but you do not know the standard deviations for either.

You should use a non-pooled test. You obtain a sample of size n 1 = 28 with a mean of M 1 = 76.5 and a standard deviation of S D 1 = 13.2 from the first population. You obtain a sample of size n 2 = 21 with a mean of M 2 = 74.1 and a standard deviation of S D 2 = 10.2 from the second population.

test statistic =

For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook.

(Report answer accurate to four decimal places.)

What function in my TI 84 calculator do I use for this problem? Thank you!

p-value =

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