Question

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.

Answer 1

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.