Assume that the weight of chicken breasts from the Kjúlli chicken farm is normally distributed with an average of 200 grams and a standard deviation of 30 grams. Chef Kolbeinn runs a restaurant in this town where delicious chicken breast dishes are on the menu. Kolbeinn's chicken breast dish consists of one chicken breast and various side dishes. Kolbeinn always orders chicken breast from Kjúlli. a) If a chicken breast dish is ordered from Kolbein, what distribution is included in the weight of the chicken breast and what is the value on the parameters of that distribution? b) Every day, Kolbeinn receives 100 chicken breasts from Kjúllir that have been selected at random. What distribution is included in the average weight of the breasts in each shipment (containing 100 breasts) and what is the value of the bars of that distribution? c) The most popular dessert on Kolbein's menu are blueberries with sugar and cream. Blueberries are expensive to buy and Kolbeinn puts a lot of effort into ensuring that each dish contains 40 blueberries, no more and no less. Kolbeinn knows that each blueberry weighs on average 3 grams and has a standard deviation of 1 gram, but he has no further information on the weight distribution of the berries. Let us now consider the blueberry dish as a random sample of blueberries of size 40. What can be said about the distribution of the average weight of blueberries in each dish (containing 40 blueberries). Justify your answer.
Assume that the weight of chicken breasts from the Kjúlli chicken farm is
a) If a chicken breast dish is ordered from Kolbein, what distribution is included in the weight of the chicken breast and what is the value on the parameters of that distribution?
b) Every day, Kolbeinn receives 100 chicken breasts from Kjúllir that have been selected at random. What distribution is included in the average weight of the breasts in each shipment (containing 100 breasts) and what is the value of the bars of that distribution?
c) The most popular dessert on Kolbein's menu are blueberries with sugar and cream. Blueberries are expensive to buy and Kolbeinn puts a lot of effort into ensuring that each dish contains 40 blueberries, no more and no less. Kolbeinn knows that each blueberry weighs on average 3 grams and has a standard deviation of 1 gram, but he has no further information on the weight distribution of the berries. Let us now consider the blueberry dish as a random sample of blueberries of size 40. What can be said about the distribution of the average weight of blueberries in each dish (containing 40 blueberries). Justify your answer.
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