The mean SAT score in math is 591. The standard deviation is 38. A special preparation course claims that its graduates will score higher on average than the mean of 591. A random sample of 90 students completed the course, and their mean score was 601. At the 0.05 level of significance,can we conclude that the preparation course does what it claims? Assume the standard deviation does not change. Perform a 1 tailed test and complete the parts below.

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The mean SAT score in math is 591. The standard deviation is 38. A special preparation course claims that its graduates will score higher on average than the mean of 591. A random sample of 90 students completed the course, and their mean score was 601. At the 0.05 level of significance,can we conclude that the preparation course does what it claims? Assume the standard deviation does not change. Perform a 1 tailed test and complete the parts below.

(a) State the null hypothesis H, and the alternative hypothesis H.
H, :[
(b) Determine the type of test statistic to use.
(Choose one)▼
D%3D
DSO ロ20
(c) Find the value of the test statistic. (Round to three or more decimal places.)
ロ-ロ
ロ<ロ ロ>ロ
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we sSupport the preparation course's claim that its graduates score higher
in SAT?
OYes ONo
ゴ K
Transcribed Image Text:(a) State the null hypothesis H, and the alternative hypothesis H. H, :[ (b) Determine the type of test statistic to use. (Choose one)▼ D%3D DSO ロ20 (c) Find the value of the test statistic. (Round to three or more decimal places.) ロ-ロ ロ<ロ ロ>ロ (d) Find the p-value. (Round to three or more decimal places.) (e) Can we sSupport the preparation course's claim that its graduates score higher in SAT? OYes ONo ゴ K
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