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An Examination in Statistics is given to certain group of statisticians having a mean grade for...

An Examination in Statistics is given to certain group of statisticians having a mean grade for 20 boys as 65 and a standard error of 6 while that of the girls counterpart numbering 25 has Amen grade of 70 with standard error of assuming the population is approximately normal with equal variance. test the hypothesis that the girls perform better than the boys at 0.01 level of significance.

An Examination is given to certain group of Statisticians having a mean grade for 20 boys as 65 and a standard error of 6 while that of the girls counterpart numbering 25 has a mean grade of 70 with a standard error of 9. Assuming the population is approximately normal with equal variance, test the hypothesis that the girls perform more than the boys at 0.01 level of Significance.

Math   Statistics-And-Probability   
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Note that this value of -t(.01) is at degree of freedom =42.

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