14th Edition

ISBN: 9780135285923

Author: MARK BERENSON

Publisher: PEARSON

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Textbook Question

Chapter 11, Problem 39PS

Suppose that, when setting up the experiment in Problem 11.38, the operations manager is able to study the effect of side-to-side aspect in addition to air-jet pressure. Thus, instead of the one-factor completely randomized design in Problem 11.38, a two-factor factorial design was used, with first factor, side-to-side aspect, having two levels (nozzle and opposite) and the second factor, air-jet pressure, having three levels (30 psi, 40 psi, and 50 psi). A sample of 18 yarns is randomly assigned, 3 to each of the 6-side-to-side aspect and pressure level combinations. The breaking-strength, stored in yarn, are as follows:

Chapter 11, Problem 39PS, Suppose that, when setting up the experiment in Problem 11.38, the operations manager is able to

At the 0.05 level of significance.

a. is there an interaction between side-to-side aspect and air-jet pressure?

b. is there an effect due to side-to-side aspect?

c. is there an effect due to air-jet pressure?

d. Plot the mean yarn breaking strength for each level to side-to-side aspect for each level of air-jet pressure.

e. if appropriate, use the Turkey procedure to study difference among the air-jet pressures.

f. On the basis of the results of (a) through (e), what conclusions can you reach concerning yarn breaking strength? Discuss.

g. Compare your results in (a) through (f) with those from the completely randomized design in Problem 11.38. Discuss fully.

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 11, Problem 38PS

Chapter 11, Problem 40PS

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Chapter 11 Solutions

BASIC BUSINESS STATISTICS

Ch. 11 - An experiment has a single factor with five groups...Ch. 11 - You are working with the same experiment as in...Ch. 11 - You are working with the same experiment as in...Ch. 11 - Consider an experiment with three groups, with...Ch. 11 - Prob. 5PS Ch. 11 - You are working the same experiment as in Problem...Ch. 11 - One of the steps involved in the processing of...Ch. 11 - The more costly and time-consuming it is to export...Ch. 11 - A hospital conducted a study of the waiting time...Ch. 11 - A manufacturer of pens has hired an advertising...

Ch. 11 - Prob. 11PS Ch. 11 - Brand valuations are critical to CEOs, financial...Ch. 11 - A pet food company has a business objective of...Ch. 11 - A transportation strategist wanted to compare the...Ch. 11 - Consider a two-factor factorial design with three...Ch. 11 - Prob. 16PS Ch. 11 - Prob. 17PS Ch. 11 - Prob. 18PS Ch. 11 - Given a two-way ANOVA with two levels for factor A...Ch. 11 - Given a two-factor factorial experiment and the...Ch. 11 - Given the results from Problem 11.20, a. at the...Ch. 11 - An experiment was conducted to study the extrusion...Ch. 11 - Prob. 23PS Ch. 11 - Prob. 24PS Ch. 11 - A glass manufacturing company wanted to...Ch. 11 - Prob. 26PS Ch. 11 - Prob. 27PS Ch. 11 - Prob. 28PS Ch. 11 - Prob. 29PS Ch. 11 - Prob. 30PS Ch. 11 - Prob. 31PS Ch. 11 - Prob. 32PS Ch. 11 - Prob. 33PS Ch. 11 - Prob. 34PS Ch. 11 - Prob. 35PS Ch. 11 - Prob. 36PS Ch. 11 - Prob. 37PS Ch. 11 - Prob. 38PS Ch. 11 - Suppose that, when setting up the experiment in...Ch. 11 - A hotel wanted to develop a new system for...Ch. 11 - Refer to the room service experiment in Problem...Ch. 11 - Prob. 42PS

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