Question

QUESTIONS Rosco is a manager at the Boars Nest BBQ restaurant. One of the best-selling items is the chicken nachos. The menu specifies that there are 20 ounces of chicken on every nacho. Lately, customers have been complaining that there is not enough chicken on the nachos so Rosco secretly observes the cooks to see how much chicken they are placing on the nachos. He observes 10 nachos prepared for lunch and 12 nachos prepared for dinner and found that they average 19 ounces of chicken per order, with a standard deviation of 3 ounces. He can assume that the amount of meat that is put on the chicken nachos is normally distributed. Rosco establishes the following research question: Does the amount of chicken differ from what is specified on the menu? Using the 5% level of significance, what is the correct conclusion? Reject Ho, there is evidence that the amount of chicken differs from what is specified on the menu Reject Ho, there is no evidence that the amount of chicken differs from what is specified on the menu Fail to reject Ho, there is evidence that the amount of chicken differs from what is specified on the menu Fail to reject there is no evidence that the amount of chicken differs from what is specified on the menu

Answer 1

Ans) Given data n=10f12=22,X =19,5=3 Ho: M= 20 , Hai M720 x=540.05 t-critical at 20.05 with alf-zi are, terit = 62.080 Rejection regioni ta-2.080 or t>2.080 - Now test statistic tall 19-20 st statist t=-1.563 since, test statistic =-1.5633-20080 we fail to reject Hoo There is no evidence to conclude that the amount of chicken differs from what is specified on the meant