The mean SAT score in mathematics, u, is 518. The standard deviation of these scores is 37. A special preparation course claims that its graduates will score higher, on average, than the mean score 518. A random sample of 28 students completed the course, and their mean SAT score in mathematics was 526. Assume that the population is normally distributed. At the 0.05 level of significance, can we conclude that the preparation course does what it cdlaims? Assume that the standard deviation of the scores of course graduates is also 37. 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,. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO O20 (c) Find the value of the test statistic. (Round to three or moe decimal places.) ロ=ロ O

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The mean SAT score in mathematics, u, is 518. The standard deviation of these scores is 37. A special preparation course claims that its graduates will score
higher, on average, than the mean score 518. A random sample of 28 students completed the course, and their mean SAT score in mathematics was 526.
Assume that the population is normally distributed. At the 0.05 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 37.
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,.
H, :0
H :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
OSO
O20
(c) Find the value of the test statistic. (Round to three or moe decimal places.)
O<O
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we support the preparation course's claim that its graduates score higher
in SAT?
Yes ONo
Ix
Transcribed Image Text:The mean SAT score in mathematics, u, is 518. The standard deviation of these scores is 37. A special preparation course claims that its graduates will score higher, on average, than the mean score 518. A random sample of 28 students completed the course, and their mean SAT score in mathematics was 526. Assume that the population is normally distributed. At the 0.05 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 37. 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,. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ OSO O20 (c) Find the value of the test statistic. (Round to three or moe decimal places.) O<O (d) Find the p-value. (Round to three or more decimal places.) (e) Can we support the preparation course's claim that its graduates score higher in SAT? Yes ONo Ix
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