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A major oil and gasoline production company claims that the unleaded gasoline produced by the company...

A major oil and gasoline production company claims that the unleaded gasoline produced by the company contains on average four ounces of a particular ingredient. The company further states that the population of interest has a population standard deviation of 1.2 ounces. A quality control engineer randomly selects 64 samples of unleaded gasoline and measures the amount of ingredient in each. The computed sample mean is 3.49. Assuming the claim is true, what is the probability of observing a sample with a mean of 3.49 or less?

a What is the name of the distribution that we should use?

b What are the values for the parameters of the distribution?

c Assuming the claim is true, what is the probability of observing a sample with a mean of 3.49 or less?

math   Statistics-And-Probability   
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