Question

10. SAT Verbal Scores...Do students who learn English and another language simultaneously score worse on the SAT Critical Reading exam than the general population of test takers? The mean score among all test takers on the SAT Critical Reading exam is 501. A random sample of 100 test takers who learned English and another language simultaneously had a mean SAT Critical Reading score of 485 with a standard deviation of 116. Do these results suggest that students who learn English as well as another language simultaneously score worse on the SAT Critical Reading exam? Use a 1% level of significance.

along with completing the following areas, don't forget to label the critical valie and test statistic on the curve provided, also shade the rejection regions

Answer 1

1o) 64 we have given :- size = 100 n = sample e = sample mean 4854 = 116. s- sample standard standard deviation U= popwation mean - sol da significance. oool level of clain :- DO these result suggest that students who learn English as well as another

worse score simultaneously on the language SAT critical Reading exam 2 complete the following lle areas *> Hoi U= sol (clam) M <50l C left tailed] *) H Test one sample t test for mean *) Type of * Test re-u) * so - t = statistics s

t = ( 485-501) Joo -1.379310 116 112 - - 1.38 ) df = on-l) ११ - = ta, da to.ol,99 -2.3646 value critical *) = 112 - 2.36 c use statistical table)

4 ) Rejection region Acceptanie Region -1.38 Ctest stahis bic) 2.36 7 (critical value) #) value PCE L-1.38) = 0.08534 - ~ 0.0853 (from table) *> Reject on fail to reject 个 we fail to reject Ho

* Decision ! we reject Ho if test statistic -t < -ta, da here -t > -ta, df we fail to reject Ho at R=0.01 *S conclusion There is Insufficient evidence to conclude that students who learn English as well as another language simultaneously score critical worse reading SAT the on Exam C our claim not satisfy at 20:01]