Nuts A company says its premium mixture of nuts contains 10% Brazil nuts, 20% cashews, 20% almonds, and 10% hazelnuts, and the rest are peanuts. You buy a large can and separate the various kinds of nuts. Upon weighing them, you find there are 112 grams of Brazil nuts, 183 grams of cashews, 207 grams of almonds, 71 grams of hazelnuts, and 446 grams of peanuts. You wonder whether your mix is significantly different from what the company advertises. a) Explain why the chi-square goodness-of-fit test is not an appropriate way to find out. b) What might you do instead of weighing the nuts in order to use a x2 test?

Elementary Statistics Notes Amanda Selly 8/26/2016 We obtained this set of data by dropping a pen seven times to see where it lands {3,4,3,2,4,3,4,2,4,4,5,2,4,4,2,2,5,2,6,3,2,4,4,3,2,1,3} So obviously this set of numbers doesn't really mean anything to us and we can't get any information about it this way so we make a Frequency Table: Value Frequenc Relative y Frequency 0 0 0/28 1 1 1/28 2 8 8/28 3 7 7/28 4 9 9/28 5 2 2/28 6 1 1/28 7 0 0/28 Total N=28 N is representative