Answered: State the null and alternative…

Name: State the null and alternative hypotheses, specify the test being used
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Description: State the null and alternative hypotheses, specify the test being used (i.e. two-tail one-sample Student’s t-test), report the results of the test (include the test statistic, p value, and whether or not you reject the null hypothesis), and relate yo

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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State the null and alternative hypotheses, specify the test being used (i.e. two-tail one-sample Student’s t-test), report the results of the test (include the test statistic, p value, and whether or not you reject the null hypothesis), and relate your findings back to the questions being asked. Below is a sample problem and answer.

Question: A certain enzyme in the liver of fish is considered an indicator of trace amounts of a dangerous pollutant that is difficult to detect by chemical means. Enzyme activities of less than 50 units per gram of liver indicate the presence of the pollutant. A random sample of fish was taken from a stream and the following enzyme concentrations were obtained. Is the mean enzyme activity greater or less than 50 units per gram in this population of fish?

48, 43, 51, 42, 50, 42, 44, 45, 56, 49, 44, 4750, 49, 38, 46, 38, 52, 32, 56

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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