Question

4) You have a company that packages rice in 1 kg bags. You randomly selected 100 rice
packages and weighted them.
10013 g, 1035 g, 1001 g, 987 g, 993 g, … (you have 100 measurements)
You realized that some packages weigh less than 1 kg. Then, you calculated the mean
weight and the standard deviation of these 100 bags. The mean weight was 1010 g and the
standard deviation was 20 g (Note: the weights of the packages are normally distributed).
a) First calculate the percentage of the rice bags that weighs less than 1000 g.
b) You still want to keep the mean weight of the packages to be 1010 g. However, you
want to adjust the accuracy of the packaging machine so that now 95% of the rice
packages would weight above 1000 g. What would the standard deviation of the
machine be after adjustment so that 95% of the rice packages weight above 1000g?

Answer 1