Question

x Geïllo e ork Help With Cheo e e e Χ WeBW K M/ 2611019 h 4:6 Χ (2 Points) Hypothe s Test Proble × SatisticsArdPro ability Achi × Home ork4 https://wwork.w 0.732 0.732 Problem 1 Problem 2 Prcblem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problen B Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 incorrect At least one of the answers above is NOT correct (4 points) Hypothesis Test Problem C: Part 2 of 2. To compare an online with a traditional lecture teaching method, 7 carefully-matched pairs of students were chosen for an experiment. Within each pair, one student was randomly assigned the online course and the other the lecture course. The semester averages obtained for each are shown below. cture 72 85 65 51 63 69 79 oine 90 88 66 60 86 69 57 It is desired to test for the difference μ1nture-Hailie (1) The observed value of the standardized test statistic is0.732 (2) Does the test reject the null hypothesis at the 0.1 level? A. No B. Yes Note: You can earn pertial credit on this problem. Preview My Answers Submit Answers Your score was recorded You have attempted this problem 2 times. You received a score of 0% for this attempt. Your overall recorded score is 0%. You have 2 attempts remaining. 2:13 PM 4/23/2019 ENG

Answer 1

Nu The following null and alternative hypotheses need to be tested: This corresponds to a two-tailed test, for which a t-test for two paired samples be used. Based on the information provided, the significance level is a = 0.1, and the degrees of freedom are df 6. Hence, it is found that the critical value for this two-tailed test is tc-1.943, for α = 0.1 and df = 6. The rejection region for this two-tailed test is R-t: t1.943 (3) Test Statistics The t-statistic is computed as shown in the following formula: -4.571 20 828 1) sD/ 14.616/V7 Since it is observed that t0.828te 1.943, it is then concluded that the null hypothesis is not rejected Using the P-value approach: The p-value is p 0.4396, and since p-0.4396 2 0.1, it is concluded that the null hypothesis is not rejected. (5) Conclusion It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that the population mean μ 1 is different than μ., at the 0.1 significance level Confidence Interval The 90% confidence interval is-15.306 .:: ,ID ":: 6.163