In 2009 Noodles & Company introduced spaghetti and meatballs to their menu

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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  = –0.385714 with a standard deviation of sd = 1.37570. Use α = 0.05.

       

(a)	Choose the appropriate hypotheses for a two-tailed test. Assume μd is the average difference in taste of the two sauces.
	H0:μd ≥ 0 versus H1: μd < 0   H0: μd = 0 versus H1: μd ≠ 0   H0: μd ≤ 0 versus H1: μd > 0

  

(b)	Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.)

      

tcalc

   

(c)	Find the critical value tcrit for α = .05. (Round your answer to 3 decimal places.)

 

tcrit

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(d)	Find the p-value. (Round your answer to 4 decimal places.)

p-value

(e)	State your conclusion.

We (Click to select)cancannot conclude that there is a difference in the taste of the two sauces.