A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 138 ounces and a standard deviation of 0.40 ounce. You randomly select 45 cans and carefully measure the contents. The sample mean of the cans is 137.9 ounces. Does the machine need to be reset? Explain your reasoning.
(Yes or No) it is (Likely or Very Unlikely) that you would have randomly sampled 45 cans with a mean equal to 137.9 ounces, because it ( Does not lie or Lies) within the range of a usual event, namely within (1, 2, or 3 standard deviations) of the mean of the sample means.