Question

# Males Females 620 660 570 590 540 540 580 560 590 610 580 590 480 610...

 Males Females 620 660 570 590 540 540 580 560 590 610 580 590 480 610 620 650 570 600 610 620 590 630 570 640 610 590 590 640 570 580 550 560 530 570 560 560 620 600 520 600 560 590 620 590 580 590 610 630 530 560 480 600 590 560 620 560 590 560 580 560

NOTE: use Excel and submit screenshots and directions on how to do it on excel

These are the scores of males and females SAT scores

1. Construct the null and the alternative hypotheses to test if females outscore males on writing tests.

2. Assuming the difference in scores is normally distributed, calculate the value of the test statistic. Do not assume that the population variances are equal.

3. Implement the test at alpha=0.01 and interpret your results.

Ho:means are not significantly different.

H1:means are significantly different.

Data-----data analysis toolpack------t test -two sample assuming unequal varriances

 t-Test: Two-Sample Assuming Unequal Variances Males Females Mean 574.3333 593.3333 Variance 1466.782 988.5057 Observations 30 30 Hypothesized Mean Difference 0 df 56 t Stat -2.10021 P(T<=t) one-tail 0.020113 t Critical one-tail 1.672522 P(T<=t) two-tail 0.040227 t Critical two-tail 2.003241(5%)

The absolute value of the calculated t is smaller than critical value (2.1002<2.678(1%)), so the means are not significantly different.

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