Consider the samples x1=(11,9,9,14,12) and x2=(17,16,3). We wish to test the hypothesis that μ1−μ2=5. Assuming equal variances if this is supported by the data, what is the appropriate test statistic?
A. -1.3
B. -3.45
C. -1.7
D. -4.1
necessary calculation table:-
x1 | x2 | x12 | x22 |
11 | 17 | 121 | 289 |
9 | 16 | 81 | 256 |
9 | 3 | 81 | 9 |
14 | sum=36 | 196 | sum=554 |
12 | 144 | ||
sum=55 | sum=623 |
the pooled standard deviation be:-
the test statistic be:-
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