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Scientists at the Hopkins Memorial Forest in western Massachusetts have been collecting meteorological and environ- mental data in the forest data for more than 100 years. In the past few years, sulfate content in water samples from Birch Brook has averaged 7.48 mg/L with a standard deviation of 1.60 mg/L.

(a) What is the standard error of the sulfate in a collection of 10 water samples?

(b) If 10 students measure the sulfate in their samples, what is the probability that their average sulfate will be between 6.49 and 8.47 mg/L?

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