Do men score the same on average compared to women on their statistics finals? Final exam scores of thirteen randomly selected male statistics students and eleven randomly selected female statistics students are shown below.

Male:58569174595986939390685662

Female:8171817183596676637055

Assume both follow a Normal distribution.What can be concluded at the the

= 0.05 level of significance level of significance?

For this study, we should useSelect an answer

z-test for the difference between two population proportions

t-test for the difference between two dependent population means

z-test for a population proportion

t-test for a population mean

t-test for the difference between two independent population means

1. The null and alternative hypotheses would be:

H

0

:

H0:

Select an answer

p1

1

Select an answer

>

=

<

Select an answer

2

p2

(please enter a decimal)

H

1

:

H1:

Select an answer

p1

1

Select an answer

=

>

<

Select an answer

2

p2

(Please enter a decimal)

1. The test statistic?
3. t
5. z
6. =(please show your answer to 3 decimal places.)
7. The p-value =(Please show your answer to 4 decimal places.)
8. The p-value is?
10. >
15. Based on this, we shouldSelect an answer
17. accept
19. fail to reject
21. reject
22. the null hypothesis.
23. Thus, the final conclusion is that ...

• The results are statistically significant at
• = 0.05, so there is sufficient evidence to conclude that the mean final exam score for the thirteen men that were observed is not the same as the mean final exam score for the eleven women that were observed.
• The results are statistically insignificant at
• = 0.05, so there is statistically significant evidence to conclude that the population mean statistics final exam score for men is equal to the population mean statistics final exam score for women.
• The results are statistically insignificant at
• = 0.05, so there is insufficient evidence to conclude that the population mean statistics final exam score for men is not the same as the population mean statistics final exam score for women.
• The results are statistically significant at
• = 0.05, so there is sufficient evidence to conclude that the population mean statistics final exam score for men is not the same as the population mean statistics final exam score for women.