The mean SAT score in mathematics is 595. The standard deviation of these scores is 25. A special preparation course claims that the mean SAT score, μ, of it graduates is greater than 595. An independent researcher tests this by taking a random sample of 100 students who completed the course; the mean SAT sco in mathematics for the sample was 600. At the 0.05 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 595? Assume that the population standard deviation of the scores of course graduates is also 25. 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 Ho and the alternative hypothesis H₁. Ho :0 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 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 595? OYes ONO μ X a S X 00 0#0 O0
The mean SAT score in mathematics is 595. The standard deviation of these scores is 25. A special preparation course claims that the mean SAT score, μ, of it graduates is greater than 595. An independent researcher tests this by taking a random sample of 100 students who completed the course; the mean SAT sco in mathematics for the sample was 600. At the 0.05 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 595? Assume that the population standard deviation of the scores of course graduates is also 25. 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 Ho and the alternative hypothesis H₁. Ho :0 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 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 595? OYes ONO μ X a S X 00 0#0 O0
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 595. The standard deviation of these scores is 25. A special preparation course claims that the mean SAT score, μ, of its
graduates is greater than 595. An independent researcher tests this by taking a random sample of 100 students who completed the course; the mean SAT score
in mathematics for the sample was 600. At the 0.05 level of significance, can we conclude that the population mean SAT score for graduates of the course is
greater than 595? Assume that the population standard deviation of the scores of course graduates is also 25.
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 H₁.
H: O
Ho
H₁ :0
(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 critical value. (Round to three or more decimal places.)
0
(e) Can we support the preparation course's claim that the population mean SAT
score of its graduates is greater than 595?
OYes No
u
XI
O
S
0=0 OSO
X
Р
<Q
020
☐#0 0<0 0>0
3
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