Answered: Suppose you wish to test the claim that…

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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24. Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test, ie, describe the value of the test statistic that would result in the rejection of the null hypothesis .

Suppose you wish to test the claim that μd, the mean value of the differences of d for a population of paired data, is greater than 0. Given a sample of n =15 and use a significance level of 0.01. What criterion would be used for rejecting the null hypothesis?

A. Reject the null hypothesis if test statistic > 2.977 or < -2.977

B. Reject the null hypothesis if the test statistic < 2.624

C. Reject the null hypothesis if the test statistic > 2.602

D. Reject the null hypothesis if the test statistic > 2.624

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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