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In: Statistics and Probability

Trace metals found in wells affect the taste of drinking water, and high concentrations can pose...

Trace metals found in wells affect the taste of drinking water, and high concentrations can pose a health risk. Researchers measured the concentration of zinc (in milligrams/liter) near the top and the bottom of 7 randomly selected wells in a large region. The data are provided in the following table. Construct and interpret a 90% confidence interval for the true mean difference (Bottom – Top) in the zinc concentrations of the wells in this region.

well 1 2 3 4 5 6 7
bottom 0.24 0.73 0.45 0.44 0.31 0.56 0.49
top 0.19 0.64 0.41 0.37 0.30 0.53 0.42

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Solution-

Let X1 and X2 are the bottom and top well zinc concentration values.


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