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, 41 tasters were asked to rate their satisfaction with two different sauces on a scale of 1-10, with 10 being the highest. Assume equal population variances. The mean difference in ratings wasd= -0.30976 with a standard deviation ofs_d= 1.96620. Use= 0.05.

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

t_calc _____

(c)Find the critical valuet_critfor= .05.(Round your answer to 3 decimal places.)

t_crit+/-_____

(d)Find thep-value.(Round your answer to 3 decimal places.)

p-value _____