Identify the critical region.  Determine the test statistic State the proper conclusion.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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To find out whether a new serum will arrest leukemia, 9 mice, all with an advanced state of the disease are selected.  Five mice receive the treatment and 4 do not.  Survival times, in years, from the time the experiment commenced are provided. At the .01 level of significance, can the serum be said to be effective.  Assue the populations to be normally distributed with equal variances. 

Let sample 1 be the mice that recieved the treatment and sample 2 be the mice that did not receive treatment . State the null and alternative hypotheses. 

Survival times (yrs)

Treatment            2.1   5.5   1.2   4.4  0.7

Non-treatment    1.9   0.6   2.6   3.3

Identify the critical region. 

Determine the test statistic

State the proper conclusion. 

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