has averaged 7.48 mg/L with a standard deviation of 1.6 mg/L. If 10 students measure the sulfate in their samples, what is the probability that the average sulfate will be between 6.49 and 8.47 mg/L? Would the probability increase if it was found out that the standard deviation is really 1.8 mg/L? Explain and include vour solutions.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Botanists at the Arizona State University in Tempe, Arizona have been collecting cactus growth data
for more than 50 years. In the past few years, sulfate content in water samples from saguaro cactus
has averaged 7.48 mg/L with a standard deviation of 1.6 mg/L. If 10 students measure the sulfate in
their samples, what is the probability that the average sulfate will be between 6.49 and 8.47 mg/L?
Would the probability increase if it was found out that the standard deviation is really 1.8 mg/L?
Explain and include your solutions.
Transcribed Image Text:Botanists at the Arizona State University in Tempe, Arizona have been collecting cactus growth data for more than 50 years. In the past few years, sulfate content in water samples from saguaro cactus has averaged 7.48 mg/L with a standard deviation of 1.6 mg/L. If 10 students measure the sulfate in their samples, what is the probability that the average sulfate will be between 6.49 and 8.47 mg/L? Would the probability increase if it was found out that the standard deviation is really 1.8 mg/L? Explain and include your solutions.
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