calculate a matched samples t-test and independent samples t-test by hand.

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
1st time	900	890	900	1000	900	1080	1200	1300	1200	1030	1040	150.33
2nd time	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?

responses properly

(t(df) = XX, p)

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