Question

1) A coke can is made from a very thin sheet of aluminum, only 0.3175 millimeter thick. Yet they can withstand pressures that vary with a mean of 100 psi and a sigma of 2.5 psi.

a) Draw a sketch, label it properly. What percentage of beverage cans do we expect to withstand less than 90 psi?

b) Make a sketch. What are the withstanding pressures of the top 5% of beverage cans?

c) Suppose a company has 25 randomly chosen Coke cans. Make a sketch of the sampling distribution of these cans. Find the probability that the mean withstanding pressure is more than 90 psi.

Answer 1