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 = 9.9 mg/L  with 95% of the data ranging from 7.3 mg/L to 12.5 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.

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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 = 9.9 mg/L

 with 95% of the data ranging from 7.3 mg/L to 12.5 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.

Expert Solution
Step 1

Given information

μ = 9.9 mg/L

95% of the data ranging from 7.3 mg/L to 12.5 mg/L

As per empirical rule, 95% of the data lies within 2 standard deviations

So Range = 4σ

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