Weights of 12 randomly chosen Sonora Bars (a type of candy) from assembly line 1 had a mean weight of 56.25 grams (g) with a standard deviation of 0.65 g, while the weights of 12 randomly chosen Sonora Bars from assembly line 2 had a mean weight of 56.75 g with a standard deviation of 0.55 g.
(a) Find the test statistic to test whether or not the mean population weights are the same for both assembly lines (i.e., that the difference is due to random variation).
(b) State the critical value for α = .05 and degrees of freedom that you are using.
(c) State your conclusion.