In: Statistics and Probability
Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was
μ = 9.6 mg/L
with 95% of the data ranging from 6.0 mg/L to 13.2 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal.
(a) Use the 95% data range to estimate the standard deviation
for oxygen demand.
(b) An oxygen demand below 8 indicates that some organisms in the
wetland environment may be dying. What is the probability that the
oxygen demand will fall below 8 mg/L? (Round your answer to four
decimal places.)
(c) A high oxygen demand can also indicate trouble. An oxygen
demand above 12 may indicate an overabundance of organisms that
endanger some types of plant life. What is the probability that the
oxygen demand will exceed 12 mg/L?(Round your answer to four
decimal places.)
According to the empirical rule, 95% of the data falls between 2 standard deviations about the mean.
-----------------------------------------------------------------------------------------------------------------
Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(-0.89, TRUE)" to find the probability.
-----------------------------------------------------------------------------------------------------------------
Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(1.33, TRUE)" to find the probability.