Question

You may need to use the appropriate technology to answer this question.

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	520
7	480	430
8	499	459
9	610	615
10	572	541
11	390	329
12	593	607

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.

H₀: μ_d = 0

H_a: μ_d ≠ 0 CORRECT!!

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

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

p-value =  

Answer 1

We can directly use here Excel for paired t test.

Step 1)  Enter data in Excel.

Step 2)  Data >>Data analysis >> t-Test: Paired Two Sample for Means>>Select first column data and then select second column data >> select alpha =0.05>>ok

t test statistic = 2.579 P value = 0.0256