1. Using a numerical response variable and a two-level categorical variable (or a categorical variable you can reduce to two levels), specify a two-sample \(t\)-test associated with your research questions.
    • (2 p) Specify the hypotheses in words and notation (either one- or two-sided test),
    • (0 p) use t.test() to calculate the mean, test statistic, and p-value,
    • (3 p) state the significance level, test statistic, and p-value, and
    • (2 p) state the conclusion in the context of the problem.
    • (1 p) Given your conclusion, could you have committed at Type-I or Type-II error?
    • (2 p) Provide an appropriate plot of the data and sample estimates in a well-labelled plot.

Turn in your master HW file with these sections appended to the bottom.