The average weight of a package of rolled oats is supposed to be at least 18 ounces. a sample of 18 packages shows a mean of 17.78 ounces with a standard deviation of 0.41 ounce. (a) at the 5 percent level of significance, is the true mean smaller than the specification? clearly state your hypotheses and decision rule. (b) is this conclusion sensitive to the choice of a? (c) use excel to find the p-value. interpret it.

(50 ) 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.