The acidity of soils is measured by a quantity called the pH, which may range from 0
Chapter 7, Problem 7.46(choose chapter or problem)
The acidity of soils is measured by a quantity called the pH, which may range from 0 (high acidity) to 14 (high alkalinity). A soil scientist wants to estimate the average pH for a large field by randomly selecting n core samples and measuring the pH in each sample. Although the population standard deviation of pH measurements is not known, past experience indicates that most soils have a pH value of between 5 and 8. If the scientist selects n = 40 samples, find the approximate probability that the sample mean of the 40 pH measurements will be within .2 unit of the true average pH for the field. [Hint: See Exercise 1.17.]
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