calculate a matched samples t-test and independent samples t-test by hand.Make sure to show all work and notate your final results in A P A style format.

Matched Samples t-test

Suppose you collect data from 10 individuals that took the SATs two times.Answer the following questions.

ID	1	2	3	4	5	6	7	8	9	10	Mean	SD
1sttime	900	890	900	1000	900	1080	1200	1300	1200	1030	1040	150.33
2ndtime	920	890	960	980	1020	1000	1310	1400	1210	1030	1072	173.26
Diff	20	0	60	-20	120	-80	110	100	10	0	32.00	64.26

1. What is the null and alternative hypothesis?
2. Is there a significant change in SAT scores using a two-tailed test at .05?

Independent Samples t-test

Suppose you have two different sets of individuals: Those that took the SAT prep course and those that did not. Using this data - answer the following questions:

Prep course	No prep course
Mean Score = 1080	Mean Score 910
Variance = 90	Variance = 120
n = 25	n = 25

1. What is the null and alternative hypothesis?
2. Is there a significant difference in SAT scores using a two-tailed test at .05?

notate your responses properly

(t(df) = XX, p)

Put these numbers into SPSS and generate the t-statistics. Do the numbers match your hand calculations? If you include your SPSS output