You are the manager of a restaurant that delivers pizza to college dormitory rooms. you have just changed your delivery process in an effort to reduce the mean time between the order and completion of delivery from the current 25 minutes. a sample of 36 orders using a new delivery process yields a sample mean of 22.4 minutes and a sample standard deviation of 6 minutes.

a. using the six-step critical value approach, at the 0.05 level of significance, is there evidence that the population mean delivery time has been reduced below the previous population mean value of 25 minutes?

b. at the 0.05 level of significance, use the five-step p-value approach.

c. interpret the meaning of the p-value in (b).

d. compare your conclusions in (a) and (b).

Mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.