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A previous sample of fish in Lake Michigan indicated that the mean polychlo- rinated biphenyl (PCB)...

A previous sample of fish in Lake Michigan indicated that the mean polychlo- rinated biphenyl (PCB) concentration per fish was 11.2 parts per million. Suppose a new random sample of 10 fish has the following concentrations:

11.3, 12.8, 11.6, 11.8, 10.4, 10.8, 12.2, 11.9, 12.4, 12.6

(a) Calculate a point estimate of the mean PCB concentration, and its standard error.
(b) If we want to have a point estimate with standard error no more than 0.1, how many more fish do we need to catch?
(c) Test the hypothesis that the mean PCB concentration has remained unchanged at 11.2 parts per million. Calculate the test statistic and the P-value. If we perform the test at significance level alpha = 0.05, what is your conclusion?

Math   Statistics-And-Probability   
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