The 2014 GSS asked about the number of hours you watch TV per day. An analysis that evaluates this by race shows the results (note the codes: 1 = Black and 2 = White):

a. Do you believe that TV watching has a normal distribution for each race? Why or why not? What effect does this have on inference comparing population means?
b. Explain how to interpret the reported confidence interval. Can you conclude that one population mean is higher? If so, which one? Explain.
c. On what assumptions is this inference based?

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Race N Mean StDev SE Mean 0.22 Black 260 3.97 3.54 1251 White 2.77 2.25 0.064 Difference = µ (black) - µ (white) Estimate for difference: 1.198 95% CI for difference: (0.749, 1.648) T-Test of difference = 0 (vs +) : T-Value = 5.25 P-Value = 0.000 DF = 303