a) State the null hypothesis H, and the alternative hypothesis H1: H, :0 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.) d) Find the critical value. (Round to three or more decimal places.) e) Can we support the preparation course's claim that its graduates score higher in SAT? O Yes ONo

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The mean SAT score in mathematics, u, is 545. The standard deviation of these scores is 39. A special preparation course claims that its
graduates will score higher, on average, than the mean score 545. A random sample of 27 students completed the course, and their mean SAT
score in mathematics was 566. Assume that the population is normally distributed. 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 39.
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.)
Transcribed Image Text:The mean SAT score in mathematics, u, is 545. The standard deviation of these scores is 39. A special preparation course claims that its graduates will score higher, on average, than the mean score 545. A random sample of 27 students completed the course, and their mean SAT score in mathematics was 566. Assume that the population is normally distributed. 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 39. 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 .
Ho
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.)
(d) Find the critical value. (Round to three or more decimal places.)
(e) Can we support the preparation course's claim that its graduates score higher
in SAT?
O Yes ONo
Transcribed Image Text:(a) State the null hypothesis H and the alternative hypothesis H . Ho 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.) (d) Find the critical value. (Round to three or more decimal places.) (e) Can we support the preparation course's claim that its graduates score higher in SAT? O Yes ONo
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