The mean SAT score in mathematics is 587. The standard deviation of these scores is 42. A special preparation course claims that the mean SAT score, μ, of its graduates is greater than 587. 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 596. At the 0.10 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 587? Assume that the population standard deviation of the scores of course graduates is also 42. 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 H₁, and the alternative hypothesis H₁. H₁ :] H₁:0 (b) Determine the type of test statistic to use. t Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) П (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 587? Yes O No μ σ р x S # ロ=ロ ✗ □□ □<□ OZO
The mean SAT score in mathematics is 587. The standard deviation of these scores is 42. A special preparation course claims that the mean SAT score, μ, of its graduates is greater than 587. 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 596. At the 0.10 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 587? Assume that the population standard deviation of the scores of course graduates is also 42. 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 H₁, and the alternative hypothesis H₁. H₁ :] H₁:0 (b) Determine the type of test statistic to use. t Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) П (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 587? Yes O No μ σ р x S # ロ=ロ ✗ □□ □<□ OZO
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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![The mean SAT score in mathematics is 587. The standard deviation of these scores is 42. A special preparation course claims that the mean SAT score, μ, of its
graduates is greater than 587. 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 596. At the 0.10 level of significance, can we conclude that the population mean SAT score for graduates of the course is
greater than 587? Assume that the population standard deviation of the scores of course graduates is also 42.
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 H₁, and the alternative hypothesis H₁.
H₁ :]
H₁:0
(b) Determine the type of test statistic to use.
t
Degrees of freedom:
(c) Find the value of the test statistic. (Round to three or more decimal places.)
П
(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 587?
Yes O No
μ
σ
р
x
S
#
ロ=ロ
✗
□□
□<□
OZO](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8fa3c2f3-5601-420c-966e-14c1c788064c%2Fcbb2c0fe-1125-47e2-bc78-45c6b95a9a33%2Fl2uxrmf_processed.png&w=3840&q=75)
Transcribed Image Text:The mean SAT score in mathematics is 587. The standard deviation of these scores is 42. A special preparation course claims that the mean SAT score, μ, of its
graduates is greater than 587. 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 596. At the 0.10 level of significance, can we conclude that the population mean SAT score for graduates of the course is
greater than 587? Assume that the population standard deviation of the scores of course graduates is also 42.
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 H₁, and the alternative hypothesis H₁.
H₁ :]
H₁:0
(b) Determine the type of test statistic to use.
t
Degrees of freedom:
(c) Find the value of the test statistic. (Round to three or more decimal places.)
П
(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 587?
Yes O No
μ
σ
р
x
S
#
ロ=ロ
✗
□□
□<□
OZO
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