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Consider a Situation in Which Chris Predicts That an Impending

question 33

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Consider a situation in which Chris predicts that an impending drainage connection will alter the number of fish in a set of six small lakes. She uses a large net (a seine) and counts the number of fish and obtains the values shown. What is the 95% confidence interval for the difference in the values?
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Number of fish caught in six seines before and after drainage connection.

Vial  Before  After 124202353136459451525252264839\begin{array}{lll}\underline {\text {Vial } }&\underline {\text { Before } }&\underline {\text { After } }\\1 & 24 & 20 \\2 & 35 & 31 \\3 & 64 & 59 \\4 & 51 & 52 \\5 & 25 & 22 \\6 & 48 & 39\end{array}


Definitions:

Kruskal-Wallis Test

A nonparametric method for testing whether samples originate from the same distribution, used when the assumption of normality in ANOVA is violated.

P-value

The probability of observing test results at least as extreme as the results actually observed, under the assumption that the null hypothesis is true.

Test Statistic

A value calculated from sample data during a hypothesis test to decide whether to reject the null hypothesis.

Kruskal-Wallis Test

A nonparametric method for testing whether samples originate from the same distribution, used for comparing more than two groups.

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