The mean SAT score in mathematics is 585. The standard deviation of these scores is 46. A special preparation course claims that the mean SAT score, u, of its graduates is greater than 585. An independent researcher tests this by taking a random sample of 50 students who completed the course; the mean SAT score in mathematics for the sample was 590. At the 0.05 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 585? Assume that the population standard deviation of the scores of course graduates is also 46. 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 H, and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. D=D OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.)
The mean SAT score in mathematics is 585. The standard deviation of these scores is 46. A special preparation course claims that the mean SAT score, u, of its graduates is greater than 585. An independent researcher tests this by taking a random sample of 50 students who completed the course; the mean SAT score in mathematics for the sample was 590. At the 0.05 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 585? Assume that the population standard deviation of the scores of course graduates is also 46. 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 H, and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. D=D OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.)
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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part D E
Transcribed Image Text:The mean SAT score in mathematics is 585. The standard deviation of these scores is 46. A special preparation course claims that the mean SAT score, u, of
its graduates is greater than 585. An independent researcher tests this by taking a random sample of 50 students who completed the course; the mean SAT
score in mathematics for the sample was 590. At the 0.05 level of significance, can we conclude that the population mean SAT score for graduates of the
course is greater than 585? Assume that the population standard deviation of the scores of course graduates is also 46.
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 H, and the alternative hypothesis H,.
H, :0
H, :0
(b) Determine the type of test statistic to use.
D=0
OSO
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the n-value (Round to three or more decimal places )
Transcribed Image Text:Carry your intermediate computations to three or more decimal places, and round your responses as specified below.
(a) State the null hypothesis H, and the alternative hypothesis H,.
Ho :0
H
(b) Determine the type of test statistic to use.
ロロ
(Choose one) ▼
ロ=ロ
ロSロ
ロ2ロ
(c) Find the value of the test statistic. (Round to three or more decimal places.)
ロ<ロ
ロ>ロ
(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 585?
O Yes O No
nin
の
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