Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and surface water of a water source. Zinc Zinc concentration concentration in bottom Location in surface water water 1 .430 .415 2 .266 .238 3 .567 .390 4 .531 .410 .707 .605 6 .716 .609 7 .651 .632 8 .589 .523 9 .469 .411 10 .723 .612 Do the data support that the zinc concentration is less on the surface than the bottom of the water source, at the a = 0.1 level of significance? Note: A normal probability plot of difference in zinc concentration between the bottom and surface of water indicates the population could be normal and a boxplot indicated no outliers. a. Express the null and alternative hypotheses in symbolic form for this claim. Assume Ha = H1 - 12, where i is the population mean zinc concentration in the bottom of water and l2 is the mean zinc concentration in the surface of water. Ho: Ha Select an answer ♥ Ha:Ha Select an answer b. What is the significance level? c. What is the test statistic? Round to 3 decimal places. ? v d. What is the p -value? Round to 4 decimal places. p =
Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and surface water of a water source. Zinc Zinc concentration concentration in bottom Location in surface water water 1 .430 .415 2 .266 .238 3 .567 .390 4 .531 .410 .707 .605 6 .716 .609 7 .651 .632 8 .589 .523 9 .469 .411 10 .723 .612 Do the data support that the zinc concentration is less on the surface than the bottom of the water source, at the a = 0.1 level of significance? Note: A normal probability plot of difference in zinc concentration between the bottom and surface of water indicates the population could be normal and a boxplot indicated no outliers. a. Express the null and alternative hypotheses in symbolic form for this claim. Assume Ha = H1 - 12, where i is the population mean zinc concentration in the bottom of water and l2 is the mean zinc concentration in the surface of water. Ho: Ha Select an answer ♥ Ha:Ha Select an answer b. What is the significance level? c. What is the test statistic? Round to 3 decimal places. ? v d. What is the p -value? Round to 4 decimal places. p =
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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