The mean SAT score in mathematics, µ, is 541. The standard deviation of these scores is 46. A special preparation course claims that its graduates will score higher, on average, than the mean score 541. A random sample of 150 students completed the course, and their mean SAT score in mathematics was 551. At the 0.01 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 46. Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. The null hypothesis: н, :‑ х The alternative hypothesis: H, : 1 OSO The type of test statistic: (Choose one) O#0 OO The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Can we support the preparation course's claim that its graduates score higher in Yes O No SAT?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The mean SAT score in mathematics, µ, is 541. The standard deviation of these scores is 46. A special
preparation course claims that its graduates will score higher, on average, than the mean score 541. A
random sample of 150 students completed the course, and their mean SAT score in mathematics was 551. At
the 0.01 level of significance, can we conclude that the preparation course does what it claims? Assume that
the standard deviation of the scores of course graduates is also 46.
Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places, and round your responses as
specified in the table.
The null hypothesis:
н, :‑
х
The alternative hypothesis: H, :
1
OSO
The type of test statistic:
(Choose one)
O#0
O<O
O>O
The value of the test
statistic:
(Round to at least three
decimal places.)
The p-value:
(Round to at least three
decimal places.)
Can we support the preparation course's
claim that its graduates score higher in
Yes
O No
SAT?
Transcribed Image Text:The mean SAT score in mathematics, µ, is 541. The standard deviation of these scores is 46. A special preparation course claims that its graduates will score higher, on average, than the mean score 541. A random sample of 150 students completed the course, and their mean SAT score in mathematics was 551. At the 0.01 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 46. Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. The null hypothesis: н, :‑ х The alternative hypothesis: H, : 1 OSO The type of test statistic: (Choose one) O#0 O<O O>O The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Can we support the preparation course's claim that its graduates score higher in Yes O No SAT?
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