In 2009 Noodles & Company introduced spaghetti and meatballs to its menu. Before putting it on the menu, it performed taste tests to determine the best-tasting spaghetti sauce. In a paired comparison, 58 tasters were asked to rate their satisfaction with two different sauces on a scale of 1 to 10, with 10 being the highest. Assume equal population variances. The mean difference in ratings was d¯d¯ = -0.47315 with a standard deviation of sd = 1.38560. Use α = 0.05. Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) Find the critical value tcrit for α = .05. (Round your answer to 3 decimal places.) Find the p-value. (Round your answer to 3 decimal places.)
In 2009 Noodles & Company introduced spaghetti and meatballs to its menu. Before putting it on the menu, it performed taste tests to determine the best-tasting spaghetti sauce. In a paired comparison, 58 tasters were asked to rate their satisfaction with two different sauces on a scale of 1 to 10, with 10 being the highest. Assume equal population variances. The mean difference in ratings was d¯d¯ = -0.47315 with a standard deviation of sd = 1.38560. Use α = 0.05.
Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.)
Find the critical value tcrit for α = .05. (Round your answer to 3 decimal places.)
Find the p-value. (Round your answer to 3 decimal places.)
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