8) A manufacturer makes aluminum cans and long neck bottles. The
average diameter on an aluminum can is supposed to be 4.2 inches
with a standard deviation of 0.01 inches. The average diameter of
a long neck bottle is supposed to be 3.8 inches with an allowable
standard deviation of 0.02 inches. A factory worker randomly selects a
can from the assembly line and it has a diameter of 4.3 inches. The
worker then selects a bottle from the assembly line and it has a diameter
of 3.75 inches, Use z-scores to determine which assembly line is closer to
specifications?