Index of Biotic Integrity. Refer to the Journal of Agricultural, Biological, and Environmental Sciences (June 2005) analysis of the Index of Biotic Integrity (IBI). The IBI measures the biological condition or health of an aquatic region. Summary data on the IBI for sites located in two Ohio river basins, Muskingum and Hocking, are given in the next table. Conduct a test of hypothesis (at α = .10) to test that the mean IBI values of Hocking river are higher then IBI levels of Muskingum river. River Basin Sample Size Mean Standard DeviationMuskingum 53 .035 1.046Hocking 51 .340 .960 State the null and alternate hypothesissignificance level usedTest statisticp-valueDecisionConclusion

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Description: Index of Biotic Integrity. Refer to the Journal of Agricultural, Biological, and Environmental Sciences (June 2005) analysis of the Index of Biotic Integrity (IBI). The IBI measures the biological condition or health of an aquatic region. Summary dat

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Index of Biotic Integrity. Refer to the Journal of Agricultural, Biological, and Environmental Sciences (June 2005) analysis of the Index of Biotic Integrity (IBI). The IBI measures the biological condition or health of an aquatic region. Summary data on the IBI for sites located in two Ohio river basins, Muskingum and Hocking, are given in the next table. Conduct a test of hypothesis (at α = .10) to test that the mean IBI values of Hocking river are higher then IBI levels of Muskingum river.

River Basin Sample Size Mean Standard Deviation

Muskingum 53 .035 1.046

Hocking 51 .340 .960

State the null and alternate hypothesis
significance level used
Test statistic
p-value
Decision
Conclusion

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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