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Answer to Question #16416 in Statistics and Probability for Shane Dorms

Question #16416
A biologist is studying the levels of arsenic that are naturally produced in some ground water sources. A mean level of 8.0 parts per billion (ppb) and less is considered safe for agricultural use. A random sample of 40 tests of the ground water at different locations in the town of Howick yields a sample mean of 8.4 ppb with a standard deviation of 1.7 ppb. Is there enough evidence to conclude that the arsenic levels are too dangerous to use for agricultural purposes at the 98% confidence level? Conduct a complete hypothesis test which includes
a) The null and alternative hypotheses, Ho and Ha
b) The critical value (confidence coefficient)
c) The test statistic (including sample mean and standard deviation)
d) The p-value
e) A decision (do or do not accept the null hypothesis)
f) A conclusion (that refers back to the question that was posed)
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