The Department of Natural Resources Classifies a Fish to Be

Essay

The department of natural resources classifies a fish to be unsafe to eat if itspolychlorinated biphenol (PCB) concentration exceeds 5 parts per billion (ppb). Arandom sample of 10 fish taken from a local lake resulted in the concentrations listedbelow:
The department if natural resources is concerned that the mean PCB concentration forfish from this lake exceeds 5 ppb.
a) What null and alternative hypotheses should the investigators use?
In a fewsentences, justify your choice of the alternative hypothesis.
b) Using a graphic technique of your choice, show that the t-procedures areappropriate to use with these data.
c) Using your hypotheses from part (a), carry out a hypothesis test using ?= 0.05and interpret the results.
d) In the context of this study, describe a Type I and a Type II error.