The College Board SAT college entrance exam consists of two sections: math and evidence-based reading and writing (EBRW). Sample data showing the math and EBRW scores for a sample ofstudents who took the SAT follow. Click on the datafile logo to reference the data.

Student	Math	EBRW		Student	Math	EBRW
1	540	474		7		480	430
2	432	380		8		499	459
3	528	463		9		610	615
4	574	612		10		572	541
5	448	420		11		390	335
6	502	526		12		593	613

a.Use alevel of significance and test for a difference between the population mean for the math scores and the population mean for the EBRW scores.

What is the test statistic? Enter negative values as negative numbers. Round your answer to two decimal places.

What is the-value? Round your answer to four decimal places.

What is your conclusion?

1. Reject. We cannot conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test.
2. Do not reject. We cannot conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test.
3. Reject. We can conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test.
4. Do not reject. We can conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test.

- Select your answer -IIIIIIIVItem 3

b.What is the point estimate of the difference between the mean scores for the two tests?

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

Math test
EBRW test

Which test reports the higher mean score? - Select your answer -EBRW testMath test