A survey was done to see how many t-shirts males and females own on average. Here is that data received from the survey below.

For males, N=25. For females, N=20.

X-=27.4 X-=22.5

S=4.7 S=3.9

Our Null hypothesis is that the population mean of males minus the females=0.

Our Alternative hypothesis is that the population mean of males minus females is greater than 0.

Do we reject our hypothesis or not?

For this case:

ReplyDeleteOur se=1.24

We will use 1.729 as our t number because our degree of freedom is 19 and we our using a .05 significance level.

Our critical region then becomes anything less than 2.14 but the actual results are 27.4-22.5=4.9. Since 4.9 is greater than our critical region in this one-tailed test we DO reject our null hypothesis.