Perform a one-ailed test. Then complete the parts below. 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. H: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.) 0 HO Р XS P 0=000 020 ☐☐☐<0 >0

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The mean SAT score in mathematics is 529. The standard deviation of these scores is 33. A special preparation course claims that the mean SAT score, μ, of its
graduates is greater than 529. An independent researcher tests this by taking a random sample of 34 students who completed the course; the mean SAT score
in mathematics for the sample was 533. Assume that the population is normally distributed. At the 0.10 level of significance, can we conclude that the
population mean SAT score for graduates of the course is greater than 529? Assume that the population standard deviation of the scores of course graduates is
also 33.
Perform a one-ailed 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.)
2
(a) State the null hypothesis H. and the alternative hypothesis H₁
S
(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.)
W
H
(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 529?
OYes O No
Check
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© 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility
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Transcribed Image Text:The mean SAT score in mathematics is 529. The standard deviation of these scores is 33. A special preparation course claims that the mean SAT score, μ, of its graduates is greater than 529. An independent researcher tests this by taking a random sample of 34 students who completed the course; the mean SAT score in mathematics for the sample was 533. Assume that the population is normally distributed. At the 0.10 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 529? Assume that the population standard deviation of the scores of course graduates is also 33. Perform a one-ailed 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.) 2 (a) State the null hypothesis H. and the alternative hypothesis H₁ S (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.) W H (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 529? OYes O No Check X → 3 e d C पी एं r f % 5 31 t 60 M 6 V b y h ▸ & 7 μ 8 X с n Ơ S Co 2 H SO <D * CO Р $ DO 8 © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility i m Save For Later 9 k Submit Assignment O Р C
Expert Solution
Step 1: We have given that

n = 34, x¯=533,μ=529,σ=33

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