A tortilla chip manufacturer claims that, on average, they put 16.1 ounces of chips in each bag they produce. However, due to variations in chip size, the standard deviation of the weight of chips in bags is 0.35 ounces. A consumer group buys 40 bags of chips and weighs them. They find the sample mean to be 15.9 ounces. Which of the following statements is true?
A.
It is virtually impossible to get this result if the manufacturer is telling the truth.
B.
We cannot tell if the manufacturer is telling the truth since the sample size is only 40.
C.
The manufacturer may be telling the truth. The probability of a sample mean of 15.9 or less is 0.095.
D.
The manufacturer may be telling the truth. The probability of a sample mean of 15.9 or less is 0.284.