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, 75 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 wasdd= -0.30965 with a standard deviation ofs_d= 1.51140. Use= 0.05. (a)Choose the appropriate hypotheses for a two-tailed test. Assume_dis the average difference in the taste of the two sauces. multiple choice 1

• H₀:_d 0 versusH₁:_d> 0
• H₀:_d 0 versusH₁:_d< 0
• H₀:_d= 0 versusH₁:_d 0

(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 (e)State your conclusion. We (Click to select) cannot can conclude that there is a difference in the taste of the two sauces.