The mean SAT Score in mathematics is 550. The standard deviation of these scores is 30. A special preparation course claims that the mean SAT score, µ, of its graduates is greater than 550. An independent researcher tests this by taking a random sample of 14 students who completed the course; the mean SAT score in mathematics for the sample was 555. Assume that the population is normally distributed. At the 0.05 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 550? Assume that the population standard deviation of the scores of course graduates is also 30. 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, : H :0 (b) Determine the type of test statistic to use. (Choose one)▼ OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) olo
The mean SAT Score in mathematics is 550. The standard deviation of these scores is 30. A special preparation course claims that the mean SAT score, µ, of its graduates is greater than 550. An independent researcher tests this by taking a random sample of 14 students who completed the course; the mean SAT score in mathematics for the sample was 555. Assume that the population is normally distributed. At the 0.05 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 550? Assume that the population standard deviation of the scores of course graduates is also 30. 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, : H :0 (b) Determine the type of test statistic to use. (Choose one)▼ OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) olo
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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Transcribed Image Text:The mean SAT score in mathematics is 550. The standard deviation of these scores is 30.A special preparation course claims that the mean SAT score, µ, of its
graduates is greater than 550. An independent researcher tests this by taking a random sample of 14 students who completed the course; the mean SAT score
in mathematics for the sample was 555. Assume that the population is normally distributed. At the 0.05 level of significance, can we conclude that the
population mean SAT score for graduates of the course is greater than 550? Assume that the population standard deviation of the scores of course graduates is
also 30.
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.
(Choose one)N
D=D0
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
![(a) State the null hypothesis H, and the alternative hypothesis H,.
Ho:
文
H,:]
(b) Determine the type of test statistic to use.
(Choose one) ▼
コーロ ロSロ ロ20
(c) Find the value of the test statistic. (Round to three or more decimal places.)
D#0 O<O O>O
(d) Find the critical 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 550?
O Yes ONo](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf648817-a410-42c0-9aed-d7ed1ec84584%2F3318aa05-a171-4d15-9545-84bcbd09d5d4%2Fjyhdpk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) State the null hypothesis H, and the alternative hypothesis H,.
Ho:
文
H,:]
(b) Determine the type of test statistic to use.
(Choose one) ▼
コーロ ロSロ ロ20
(c) Find the value of the test statistic. (Round to three or more decimal places.)
D#0 O<O O>O
(d) Find the critical 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 550?
O Yes ONo
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