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Name: An ice cream company owns two plants, namely A and B, and wants to tes
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Description: An ice cream company owns two plants, namely A and B, and wants to test using a 5% significance level whether there is a difference in the production activities carried out in each plant in terms of mean kilos of ice cream produced per hour. Using a

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

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An ice cream company owns two plants, namely A and B, and wants to test using a 5% significance level whether there is a difference in the production activities carried out in each plant in terms of mean kilos of ice cream produced per hour. Using a random sample of 35 paired observations, the sample means are 60 kilos for plant A and 75 kilos per hour for plant B. In which of the following scenarios can you reject the null hypothesis? a the sample standard deviation of the difference is 55 b the sample standard deviation of the difference is 75 c the sample standard deviation of the difference is 20 d the sample standard deviation of the difference is 45 e the sample standard deviation of the difference is 100

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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