Question

Retaking the SAT: Many high school students take the SAT's twice; once in their Junior year and once in their Senior year. In a sample of 55 such students, the score on the second try was, on average, 33 points above the first try with a standard deviation of 15 points. Test the claim that retaking the SAT increases the score on average by more than 30 points. Test this claim at the 0.01 significance level. (a) The claim is that the mean difference is greater than 30 (ud > 30), what type of test is this? This is a two-tailed test. This is a left-tailed test. This is a right-tailed test. (b) What is the test statistic? Round your answer to 2 decimal places. to = //www.webassign.net/web/student/A 7128120, 1:34 PM

Answer 1

we have given : - sample size = 55 Ž = sample mean = 33 S sample standard deviation 15 M= Pop wation 20 med n = claim Test the claim that retaking the SAT on average increases the score by more than 30 points.

d = level of significance = 0.01 a) The claim is that the mean difference is greater than 30 ( Hd 730) This is right tailed test test statistic t = (2- Mo) * sn व ک

t ( 33-30) * JSS ll ei ♡ | 1.48 15 C ) P value → df = nala SS-1 54 :. value 11 pl to 1.48) = 0.07234 211 0.0723 (from fable)

all conclusing regarding the null hypothesis > fail to reject Ho e) appropriate concluding statement There is not enough data to support the claim that that retaking the SAT increases the score on average by more than 30 points c te our claim not satisfy]