Question

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A standardized exam 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 exam follow.

Student	Math	Writing
1	540	474
2	432	380
3	528	463
4	574	612
5	448	414
6	502	526
7	480	430
8	499	459
9	610	615
10	572	541
11	390	335
12	593	607

(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.)

Formulate the hypotheses.

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

=

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

p-value =

(b)

What is the point estimate of the difference between the mean scores for the two tests? (Use math score − writing score.)=

What are the estimates of the population mean scores for the two tests?

Math=

Writing=

Answer 1