A standardized consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the follow.

Student	Math	Writing
1	540	468
2	432	380
3	528	457
4	574	612
5	448	414
6	502	526
7	480	430
8	499	453
9	610	615
10	572	541
11	390	335
12	593	613

(a)

Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing scores. (Use math score writing score.)

Calculate the test statistic. (Round your answer to three decimal places.)

Calculate the p-value. (Round your answer to four decimal places.)