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Chapter 10 Activity Instructions: Show all work when applicable. This can be done online or by hand. Once completed, upload activity to Canvas as a Word or PDF file or take a picture if done by hand. 1. What is meant by \"the difference of the means\" when talking about an independent samples t test? How does it differ from the \"mean of the differences\" in a related samples t test? Describe three research questions that could be tested using an independent samples t test. Calculate pooled variance from the following raw data: Group 1 Group 2 16 4 11 10 9 15 7 13 5 12 4 9 12 8 Calculate the standard error from the following descriptive statistics. a. s,=24,s,=21,n,=36,n,=49 b. s,=15.40, s,=14.80, n, =20, n, = 23 c. $,=12,8=10,m =25 n,=25 Determine whether to reject or fail to reject the null hypothesis in the following situations: a. f(40) = 2.49, a = .01, one-tailed test to the right b. M, =64 M,=54,n,=14,n, =12, Syyy_12 = 9.75, a = .05, two-tailed test c. 95% CI: (0.50, 2.10) A professor is interested in whether the type of software program used in a statistics lab affects how well students learn the material. The professor teaches the same lecture material to two classes but has one class use a point-and-click software program in lab and has the other class use a basic programming language. The professor collects final exam scores for students in each class. Conduct a hypothesis test to answer the research question. Point-and-Click Programming 83 86 83 79 63 100 77 74 86 70 84 67 78 83 61 85 65 74 75 86 100 87 60 61 90 76 66 100