The times (in minutes) it took six white mice (sample 1) to learn to run a simpl

Question

The times (in minutes) it took six white mice (sample 1) to learn to run a simple maze, and the times it took six brown mice (sample 2) to learn to run the same maze are given below. At alpha = 0.05, does the color of the mice make a difference in their learning rate? Assume the variable is normally distributed and the variances of the two population are equal. If the pooled estimate of population variance (S^2_p) is 23.135, what is the observed value of the test statistic? 0.33 0.12 2.2281 1.96 0.06

Explanation / Answer

here mean of white mice x1 =17

and that of brown mice x2 =16.6667

for std error =(sp2(1/n1+1/n2)1/2 =(23.135*(1/6+1/6))1/2 =2.7770

therefore test stat t =(X1-X2)/std error =(17-16.6667)/2.7770=0.12

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