Question

SAT college entrance exam consists of three parts: math, writing and critical reading (The World A Almanac 2012). Sample data showing the math and writing scores for a students who took the SAT follow. Click on the datafile logo to reference the data. DATA e sample of twelve StudentMath Writing MathWriting 432 528 574 430 615 335 380 499 610 572 390 612 420 526 12 613 a. Use a 0.5 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing scores. What is the test statistic? Enter negative values as negative numbers. Round your answer to two decimal places t-3.10 What is the p-value? Round your answer to four decimal places 3 .0052 What is your conclusion? The input in the box below will not be graded, but may be reviewed and considered by your anstructor blank 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 Writing test 514 1025 AM Type here to search

Answer 1

Hypothesis Test: Independent Groups (t-test, pooled variance)
	Math	Writing
	514.00	489.00	mean
	68.27	93.47	std. dev.
	12	12	n
		22	df
		25.000	difference (Math - Writing)
		6,698.545	pooled variance
		81.845	pooled std. dev.
		33.413	standard error of difference
		0	hypothesized difference
		0.75	t
		.4623	p-value (two-tailed)

(a) t = 0.75 and p- value = 0.4623

(b) Point estimate = 25

Mean for Math group = 514

Mean for Writing = 489