Answered: . Write down the null and alternative…

Name: A manufacturer of cabin bags advertises that on average, the mean weig
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Description: A manufacturer of cabin bags advertises that on average, the mean weight of their bags is 2kg. The quality control division of the company do regular testing to ensure the weights on average are not more than 2kg. i. Write down the null and alternati

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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A manufacturer of cabin bags advertises that on average, the mean weight of their bags is 2kg. The quality control division of the company do regular testing to ensure the weights on average are not more than 2kg.

i. Write down the null and alternative hypotheses to test this claim.

ii. Explain what it would mean to make a Type II error in this situation.

iii. Explain the possible consequences of a Type II error when the test was conducted by the quality control division of the company.

iv. Explain the possible consequences of a Type II error if the test was conducted by a consumer advocacy group external to the company.

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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