Question: When it is operating properly, a chemical plant has a mean daily production of at least 740 tons. The output is measured on a simple

When it is operating properly, a chemical plant has a mean daily production of at least 740 tons. The output is measured on a simple random sample of 60 days. The sample had a mean of 715 tons/day and a standard deviation of 24 tons/day. Let ???? represent the mean daily output of the plant. An engineer tests H0 : ???? ≥ 740 versus H1 : ???? < 740.

a. Find the P-value.

b. Do you believe it is plausible that the plant is operating properly, or are you convinced that the plant is not operating properly? Explain your reasoning.

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