A researcher studies water clarity at the same foton in a lake on the same dates during the course of a year and repeat the moments on need 5 years. The matcher mensen a wood disk baino back and the and measure the depth (in inches) at which is no longer Valble. The collected data a given in the table below. Complete parts a) through below Observation 1 2 3 4 5 Date 125 30 530 1113 1117 initial Depth, X 724 TO 705 4470384 Depth Five Years Later 709 665 70 413 043370 Clothicon love that of oral values (a) Wortant to take the measurements on the same date? O A Using the same dates mates the second sample dependent on the first and reduces variability in water clarity buttle to date O. Using the same date maximizes the difference in water arty These are the same data biologists use to the water clarity samples OD. Using the same date matcasier to remember to a samples
Please complete A & B B) does the evidence suggest that the clarity of the like is improving at the alpha = 0.05 level of significance? Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Calculate the difference di for each observation i. Calculate the standard deviation sd of the difference data Calculate the test statistic Calculate critical t-value Determine whether to reject the null hypothesis
A researcher studies water clarity at the same foton in a lake on the same dates during the course of a year and repeat
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A researcher studies water clarity at the same foton in a lake on the same dates during the course of a year and repeat
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