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, 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 wasd

d= -0.385714 with a standard deviation ofs_d= 1.37570. Use= .05.

(a)Choose the appropriate hypotheses for a two-tailed test. Assume_dis the average difference in taste of the two sauces.

• 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 4 decimal places.)

p-value________