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A tortilla chip manufacturer claims that, on average, they put 16.1 ounces of chips in each...

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.  

a.What is the probability that the sample mean of 40 bags would be 15.9 oz or less if the population mean is truly 16.1 and the population standard deviation is 0.35 oz?

b.Is the company’s claim viable?

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