10th Edition

ISBN: 9780321989178

Author: Neil A. Weiss

Publisher: PEARSON

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Textbook Question

Chapter 9, Problem 2RP

The following statement appeared on a box of Tide laundry detergent: “Individual packages of Tide may weigh slightly more or less than the marked weight due to normal variations incurred with high speed packaging machines, but each day's production of Tide will average slightly above the marked weight.”

a. Explain in statistical terms what the statement means.
b. Describe in words a hypothesis test for checking the statement.
c. Suppose that the marked weight is 7fi ounces, State in words the null and alternative hypotheses for the hypothesis test. Express those hypotheses in statistical terminology.

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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Chapter 9, Problem 1RP

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Chapter 9 Solutions

Introductory Statistics (10th Edition)

Ch. 9.1 - Explain the meaning of the term hypothesis as used...Ch. 9.1 - Regarding the term null hypothesis: a. Originally,...Ch. 9.1 - What role does the decision criterion play in a...Ch. 9.1 - Suppose that you want to perform a hypothesis test...Ch. 9.1 - Suppose that you are considering a hypothesis test...Ch. 9.1 - Suppose that, in a hypothesis test, the null...Ch. 9.1 - Suppose that, in a hypothesis test, the null...Ch. 9.1 - What is the relation between the significance...Ch. 9.1 - Answer true or false and explain your answer: If...Ch. 9.1 - Answer true or false and explain your answer: For...

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Solution Summary: The author explains that the population mean net weight of tide is equal to the printed weight.

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