Answer Happy

In the shop we see that on a bag of potatoes it says that the weight is 5.0 kg. Due to the fact that potatoes have different shapes and sizes, the actual weight X of a bag of potatoes is a normally distributed random variable X-N(ux,ox). The manufacturer has several machines that fill potatoes in the bags, and these are set up so that ux=5.2 kg. Based on very many observations, the manufacturer has found that the standard deviation in the bags is ox=0.15 kg. 1. Calculate the probability that a customer buys a bag of potatoes that contain less than 5.0 kg. 2. A machine has had periodic maintenance performed. It is known that maintenance does not affect the standard deviation, but it can affect how many potatoes are filled in the bags. After start-up, the manufacturer therefore wants to have it examined whether things are working properly. What type of test should they carry out? Choose from the following options: a) Ho: ux = 5.2 vs. Hi: ux> 5.2 b) Ho: ux= 5.2 vs. Hi: ux< 5.2 c) Ho: ux= 5.2 vs. Hi: ux+ 5.2