In 2009 Noodles & Company introduced spaghetti and meatballs to their menu. Before putting it on the menu, they performed taste tests to determine the best-tasting spaghetti sauce. In a paired comparison, 70 tasters were asked to rate their satisfaction with two different - sauces on a scale of 1–10 with 10 being the highest. The mean difference in ratings was d-bar = – 0.385714 with a standard deviation of sd = 1.37570.
(a) State the hypotheses for a two-tailed test.
(b) Calculate the test statistic.
(c) Calculate the critical value for α = .025.
(d) Calculate the p-value.
(e) State your conclusion.