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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
a) The industrial Plant says that the population mean value of x is u = 2.0 ug/L.However a random sample of n= 10 water samples showed that x = 2.56ug/L.Does this indicate that the lead-concentration population mean is higher that the industrial plant claims ? Use a= 1%
b) Find a 95% confidence interval for u using the sample data and the EPA value for o.
c) How large a sample should be taken to be 95% confident that the sample mean /X is within a margin of error E= 0.2 ug/L of the population mean?
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Differentiate both sides of the equation from part (a) with respect to x to obtain:
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apprx 10.3 of americans high school students drop out bf graduation. choose 10 students entering school at randon find
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