- 9.9.2.1: Production Line Assembly Methods DS 9.2.1 shows the data obtained f...
- 9.9.2.2: Red Blood Cell Adherence to Endothelial Cells Researchers into the ...
- 9.9.2.3: Tire Tread Wear An experiment is performed to assess whether a new ...
- 9.9.2.4: Calculus Teaching Methods A new teaching method for a calculus clas...
- 9.9.2.5: Radioactive Carbon Dating Two independently operated laboratories p...
- 9.9.2.6: Golf Ball Design A sports manufacturer has developed a new golf bal...
- 9.9.2.7: Stimulus Reaction Times An experiment was conducted to compare two ...
- 9.9.2.8: Antibiotic Efcacies Eight cultures of a bacterium are split in half...
- 9.9.2.9: Uranium-Oxide Removal from Water An experiment is conducted to inve...
- 9.9.2.10: A clinical trial is run to compare two medications. A blind experim...
- 9.9.2.11: For a two-sample problem with n =11 paired samples, x =58.42, y =44...
- 9.9.3.1: An experimenter wishes to compare two treatments A and B and obtain...
- 9.9.3.2: In an unpaired two-sample problem an experimenter observes n =14, x...
- 9.9.3.3: In an unpaired two-sample problem an experimenter observes n =8, x ...
- 9.9.3.4: In an unpaired two-sample problem an experimenter observes n =10, x...
- 9.9.3.5: In an unpaired two-sample problem an experimenter observes n =13, x...
- 9.9.3.6: The thicknesses of n =41 glass sheets made using process A are meas...
- 9.9.3.7: The breaking strengths of n =20 bundles of wool bers have a sample ...
- 9.9.3.8: A random sample of n =16 one-kilogram sugar packets of brand A have...
- 9.9.3.9: In an unpaired two-sample problem, an experimenter observes n =47, ...
- 9.9.3.10: In an unpaired two-sample problem, an experimenter observes n =38, ...
- 9.9.3.11: The resilient moduli of n =10 samples of a clay mixture oftypeAarem...
- 9.9.3.12: An experimenter feels that observations from population A have a st...
- 9.9.3.13: An experimenter would like to construct a two-sided 95% condence in...
- 9.9.3.14: Consider again the data set in 9.3.2 with sample sizes n =m =14. If...
- 9.9.3.15: Consider again the data set of glass sheet thicknesses in 9.3.6 wit...
- 9.9.3.16: An experiment was conducted to investigate how the corrosion proper...
- 9.9.3.17: Paving Slab Weights Recall that DS 6.1.7 shows the weights of a sam...
- 9.9.3.18: Spray Painting Procedure An engineer compares the sample of paint t...
- 9.9.3.19: Heel-Strike Force on a Treadmill Physical disorders commonly experi...
- 9.9.3.20: Bleaching Agents In the garment industry, bleaching is an important...
- 9.9.3.21: Restaurant Service Times Recall that DS 6.1.4 shows the service tim...
- 9.9.3.22: The breaking strengths of 14 randomly selected objects produced fro...
- 9.9.3.23: Clinical Trial A simple clinical trial was performed to compare two...
- 9.9.3.24: An athlete recorded her practice times running a course. She had ei...
- 9.9.3.25: For a two-sample problem with independent samples, n =6, m =8, x =5...
- 9.9.7.1: Video Display Designs A researcher is interested in how a color vid...
- 9.9.7.2: Fabric Water Absorption Properties In assessing how the water absor...
- 9.9.7.3: A researcher in the petroleum industry is interested in the sizes o...
- 9.9.7.4: A company is investigating how long it takes its drivers to deliver...
- 9.9.7.5: Bamboo Cultivation A researcher compares the bamboo shoot heights i...
- 9.9.7.6: Consumer Complaints Division Reorganization In a quality drive a fo...
- 9.9.7.7: Ocular Motor Measurements Ocular motor measurements are designed to...
- 9.9.7.8: Engine Oil Viscosity The viscosity of oil after it has been used in...
- 9.9.7.9: Comparing Two Population Variances For use with 9.7.109.7.12. Recal...
- 9.9.7.10: A sample of n =18 observations from population A has a sample stand...
- 9.9.7.11: Consider again the data set of glass sheet thicknesses in 9.3.6 wit...
- 9.9.7.12: Consider again the data set of the breaking strengths of n =20 bund...
- 9.9.7.13: The strengths of two types of canvas were compared in an experiment...
- 9.9.7.14: Reinforced Cement Strengths The strengths of nine reinforced cement...
- 9.9.7.15: Are the following statements true or false? (a) The advantage of pa...
- 9.9.7.16: Comparisons of Experimental Drug Therapies Eight people participate...
- 9.9.7.17: A sample of 20 items from manufacturer A were measured and a sample...
- 9.9.7.18: Rubber Seal Curing Methods An engineer is interested in whether the...
- 9.9.7.19: Light and Dark Regimens for Plant Growth In an experiment, plants w...
- 9.9.7.20: Joystick Design for Spinal Cord Injury Patients Patients with spina...
- 9.9.7.21: Ambient Air Carbon Monoxide Pollution Levels A researcher hypothesi...
- 9.9.7.22: Sphygmomanometer and Finger Monitor Systolic Blood Pressure Measure...
- 9.9.7.23: A two-sample data analysis is conducted to compare the sales of age...
- 9.9.7.24: For a two-sample problem with independent samples, n =6, m =8, x =5...
- 9.9.7.25: Carbon Footprints Analyze the data in DS 9.7.14, which contains est...
- 9.9.7.26: Green Management A company introduces green management techniques t...
- 9.9.7.27: Data Warehouse Design Powerconsumptionrepresentsalargeproportionofa...
- 9.9.7.28: Customer Churn Customer churn is a term used for the attrition of a...
- 9.9.7.29: Natural Gas Consumption DS 9.7.18 contains data on the total daily ...
- 9.9.7.30: Consider an experimental design to compare two treatments. A. If th...
- 9.9.7.31: When testing the difference between two treatments in a two-sample ...
- 9.9.7.32: When using a condence interval to compare two treatments, which of ...
- 9.9.7.33: Consider the design of a two-sample experiment to compare two medic...
- 9.9.7.34: A two-sample data analysis is conducted to compare the efciencies o...
Solutions for Chapter 9: Comparing Two Population Means
Full solutions for Probability and Statistics for Engineers and Scientists | 4th Edition
ISBN: 9781111827045
Probability and Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9781111827045. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and Scientists, edition: 4. Chapter 9: Comparing Two Population Means includes 70 full step-by-step solutions. Since 70 problems in chapter 9: Comparing Two Population Means have been answered, more than 53382 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.
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Arithmetic mean
The arithmetic mean of a set of numbers x1 , x2 ,…, xn is their sum divided by the number of observations, or ( / )1 1 n xi t n ? = . The arithmetic mean is usually denoted by x , and is often called the average
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Average run length, or ARL
The average number of samples taken in a process monitoring or inspection scheme until the scheme signals that the process is operating at a level different from the level in which it began.
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Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability
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Comparative experiment
An experiment in which the treatments (experimental conditions) that are to be studied are included in the experiment. The data from the experiment are used to evaluate the treatments.
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Confounding
When a factorial experiment is run in blocks and the blocks are too small to contain a complete replicate of the experiment, one can run a fraction of the replicate in each block, but this results in losing information on some effects. These effects are linked with or confounded with the blocks. In general, when two factors are varied such that their individual effects cannot be determined separately, their effects are said to be confounded.
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Conidence interval
If it is possible to write a probability statement of the form PL U ( ) ? ? ? ? = ?1 where L and U are functions of only the sample data and ? is a parameter, then the interval between L and U is called a conidence interval (or a 100 1( )% ? ? conidence interval). The interpretation is that a statement that the parameter ? lies in this interval will be true 100 1( )% ? ? of the times that such a statement is made
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Continuity correction.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.
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Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.
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Contrast
A linear function of treatment means with coeficients that total zero. A contrast is a summary of treatment means that is of interest in an experiment.
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Curvilinear regression
An expression sometimes used for nonlinear regression models or polynomial regression models.
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Design matrix
A matrix that provides the tests that are to be conducted in an experiment.
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Discrete distribution
A probability distribution for a discrete random variable
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Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
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Error propagation
An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.
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Estimator (or point estimator)
A procedure for producing an estimate of a parameter of interest. An estimator is usually a function of only sample data values, and when these data values are available, it results in an estimate of the parameter of interest.
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F-test
Any test of signiicance involving the F distribution. The most common F-tests are (1) testing hypotheses about the variances or standard deviations of two independent normal distributions, (2) testing hypotheses about treatment means or variance components in the analysis of variance, and (3) testing signiicance of regression or tests on subsets of parameters in a regression model.
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First-order model
A model that contains only irstorder terms. For example, the irst-order response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irst-order model is also called a main effects model
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Fisher’s least signiicant difference (LSD) method
A series of pair-wise hypothesis tests of treatment means in an experiment to determine which means differ.
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Fractional factorial experiment
A type of factorial experiment in which not all possible treatment combinations are run. This is usually done to reduce the size of an experiment with several factors.
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Geometric mean.
The geometric mean of a set of n positive data values is the nth root of the product of the data values; that is, g x i n i n = ( ) = / w 1 1 .