The mean SAT score in mathematics is 507 . The standard deviation of these scores is 36 . A special preparation course claims that the mean SAT score, μ , of its graduates is greater than 507 . An independent researcher tests this by taking a random sample of 150 students who completed the course; the mean SAT score in mathematics for the sample was 510 . At the 0.05 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 507 ? Assume that the population standard deviation of the scores of course graduates is also 36 . Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we support the preparation course's claim that the population mean SAT score of its graduates is greater than 507 ? Yes No

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

The mean SAT score in mathematics is

507

. The standard deviation of these scores is

. A special preparation course claims that the mean SAT score,

, of its graduates is greater than

507

. An independent researcher tests this by taking a random sample of

150

students who completed the course; the mean SAT score in mathematics for the sample was

510

. At the

0.05

level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than

507

? Assume that the population standard deviation of the scores of course graduates is also

Perform a one-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)

(a)	State the null hypothesis H0 and the alternative hypothesis H1 .
H0:
H1:
(b)	Determine the type of test statistic to use.
	▼(Choose one)
(c)	Find the value of the test statistic. (Round to three or more decimal places.)

(d)	Find the p-value. (Round to three or more decimal places.)

(e)	Can we support the preparation course's claim that the population mean SAT score of its graduates is greater than 507 ?
Yes No