t-test

[casp]

Dea friends, could you please send the answer for the question:

Consider the following sets of observations from two groups:
G1 = {-0.07, 0.48, -0.44, -1.45, 1.74, 0.23}
G2 = {-0.42, -0.52, -0.73, -1.75, -1.70, -1.12, -1.94, -1.81}
Assume that the measurements come from distributions that have equal but unknown variances, and potentially different means µ1 and µ2.  

a) Use a t-test to test the null hypothesis that the underlying means of G1 and G2 are equal at a significance level of 5%;  
H0: µ1=µ2.

b) Use a t-test to test the null hypothesis that the underlying mean of G1 is larger than that of G2 at a significance level of 5%;  
H0: µ1>µ2.

c) Use a t-test to test the null hypothesis that the underlying mean of G1 is smaller than that of G2 at a significance level of 5%;  
H0: µ1<µ2.

d) How do you suppose your results would change if the fifth element of G1 is changed from 1.74 to 5.74? Why?

[Richard Ristow]

To raise a concern that comes up from time to
time -- at 04:11 AM 5/31/2008, casp wrote:

>Consider the following sets of observations from two groups:
>G1 = {-0.07, 0.48, -0.44, -1.45, 1.74, 0.23}
>G2 = {-0.42, -0.52, -0.73, -1.75, -1.70, -1.12, -1.94, -1.81}
>Assume that the measurements come from
>distributions that have equal but unknown
>variances, and potentially different means µ1 and µ2.
>
>a) Use a t-test to test the null hypothesis that
>the underlying means of G1 and G2 are equal at a significance level of 5%;

This problem looks exactly how one would expect a
homework problem, or a question on a take-home exam, to look.

I hope you will understand that we think it
neither worth while, nor appropriate, to solve
problems of either sort on this list.

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