Question: d. Find a 95% confidence interval for /. e. How large a sample should be taken to be 95% confident that the sample mean x

d. Find a 95% confidence interval for /. e. How large a sample should be taken to be 95% confident that the sample mean x is within a margin of error E=0.2mg/L of the population mean?Let x be a random variable that represents micrograms of lead per liter of water (ug/L). An industrial plant discharges water into a creek. The Environmental Protection Agency has studied the discharged water and found x to have a normal distribution, with o = 0.7 (ug/L (Reference: EPA Wetlands Case Studies). The industrial plant says that the population mean value of x is f =2.0 mg/L. However, a random sample of n-10 water samples showed that x =2.56 mg/L. Consider the claim that lead-concentration population mean is higher than the industrial plant claims? Suppose a =1%. a. Find the P-value. b. Find the critical value zo that defines the rejection region. c. Would you support the claim? Why

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