The producer of a particular brand of soup claims that its sodium content is 50% less than that of its competitor. The food label states that the sodium content measures 410 milligrams per serving. Assume the population of sodium content is normally distributed with a standard deviation of 25 milligrams. Inspectors take periodic samples of 25 cans and measure the sodium content. The following sample means are obtained.
a. Construct an chart. Plot the sample means on the chart.
b. Can the inspectors conclude that the producer is advertising the sodium content accurately? Explain.