## Question

###### Do men score lower on average compared to women on their statistics finals? Final exam scores...

## Answers

we will use t test for two independent samples

Ho : µ1 - µ2 = 0 or µ1 =µ2

Ha : µ1-µ2 < 0 or µ1<µ2Sample #1 ----> 1

mean of sample 1, x̅1= 74.417

standard deviation of sample 1, s1 = 9.307

size of sample 1, n1= 12

Sample #2 ----> 2

mean of sample 2, x̅2= 83.083

standard deviation of sample 2, s2 = 9.376

size of sample 2, n2= 12b)

difference in sample means = x̅1-x̅2 = 74.4167 - 83.1 = -8.667

pooled std dev , Sp= √([(n1 - 1)s1² + (n2 - 1)s2²]/(n1+n2-2)) = 9.3416

std error , SE = Sp*√(1/n1+1/n2) = 3.8137

t-statistic = ((x̅1-x̅2)-µd)/SE = ( -8.6667 - 0 ) / 3.81= -2.27

c)Degree of freedom, DF= n1+n2-2 = 22

p-value = 0.0166[ excel function: =T.DIST(t stat,df) ]d)

p value is greater than α

e) should not reject

f) the result are not statiscally significant....,so there is not sufficient evidence...............