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Name: The manufacturer of Suzanne Space Saver tables finds that the mean tim
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Description: The manufacturer of Suzanne Space Saver tables finds that the mean time needed by online buyers to assemble the tables is 1 hour with a standard deviation of 0.25 hours. The design team of the firm has developed a new manual to reduce the time needed

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The manufacturer of Suzanne Space Saver tables finds that the mean time needed by online buyers to assemble the tables is 1 hour with a standard deviation of 0.25 hours. The design team of the firm has developed a new manual to reduce the time needed to assemble the table by its buyers. To test the effectiveness of the new manual, the team selects and gives 20 buyers the new manual to use. The sampled buyers take a mean of 0.45 hours to assemble each table.

Assuming that the population is normally distributed, and using the 0.05 level of significance, determine and interpret the p value for the test and state whether we should conclude that the new manual is effective.

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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