Question

Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The 200 students in group 1 had a mean score of 26.2 with a standard deviation of 4.8, while the 200 students in group 2 had a mean score of 18.4 with a standard deviation of 4.2. Complete parts (a) and (b) below. (a) Determine the 95% confidence interval for the difference in scores, H1 - H2. Interpret the interval. The lower bound is The upper bound is (Round to three decimal places as needed.)

Answer 1

given & xi - 112.3 xa = 1.18. 1 Sllll 82= 14.9 Q=0.02 ng = 78 hi - 56 hull and alternative Hypothesis HoMi = HaiMi Lug Test Stalistic sa-sia za 112.3-118.1 Sa 56 78 - 2.582 P-value 0.0055 Prave (7,0.05] = 0.0055 value ca(0.08) Conclusion - it is concluded that the hull Hypothesis Ho is resected. Therefore there is Enough evidence to claim the population mean Mi is leger than mo, at the boa Significance level CS Scanned with CamScanner

3) Si = 17.4 Si=19 h=18 312 = 21.8 e2-4.4 ng =18 holl and allexhelive hypothesis to. Mi 42 Ha: Meta2 is two-tailed test Test Statistic sexg t= 17.4 - 215 = -2.641 499 442 18 To P-value waam (t, 2 (-9.641,0.05) =0.0124 9 0.0194 df pualue = 0.0124 20.05 33.614 Then seject the Ho Conclusion The hun hypothesis. Ho is rejected there is enough evidence to claim Therefore that population mean Mi is different than a Significence level the 0.05 CS Scanned with CamScanner