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# Solutions for Chapter 10: Summarizing Data

## Full solutions for Mathematical Statistics and Data Analysis | 3rd Edition

ISBN: 9788131519547

Solutions for Chapter 10: Summarizing Data

Solutions for Chapter 10
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##### ISBN: 9788131519547

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 10: Summarizing Data includes 50 full step-by-step solutions. Since 50 problems in chapter 10: Summarizing Data have been answered, more than 15223 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Mathematical Statistics and Data Analysis, edition: 3. Mathematical Statistics and Data Analysis was written by and is associated to the ISBN: 9788131519547.

Key Statistics Terms and definitions covered in this textbook
• Alternative hypothesis

In statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test

• Biased estimator

Unbiased estimator.

• Bivariate distribution

The joint probability distribution of two random variables.

• Chi-square test

Any test of signiicance based on the chi-square distribution. The most common chi-square tests are (1) testing hypotheses about the variance or standard deviation of a normal distribution and (2) testing goodness of it of a theoretical distribution to sample data

• Conditional mean

The mean of the conditional probability distribution of a random variable.

• Conditional variance.

The variance of the conditional probability distribution of a random variable.

• 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.

• Correlation coeficient

A dimensionless measure of the linear association between two variables, usually lying in the interval from ?1 to +1, with zero indicating the absence of correlation (but not necessarily the independence of the two variables).

• Critical region

In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.

• Cumulative sum control chart (CUSUM)

A control chart in which the point plotted at time t is the sum of the measured deviations from target for all statistics up to time t

• Curvilinear regression

An expression sometimes used for nonlinear regression models or polynomial regression models.

• Decision interval

A parameter in a tabular CUSUM algorithm that is determined from a trade-off between false alarms and the detection of assignable causes.

• Defect

Used in statistical quality control, a defect is a particular type of nonconformance to speciications or requirements. Sometimes defects are classiied into types, such as appearance defects and functional defects.

• Degrees of freedom.

The number of independent comparisons that can be made among the elements of a sample. The term is analogous to the number of degrees of freedom for an object in a dynamic system, which is the number of independent coordinates required to determine the motion of the object.

• Deining relation

A subset of effects in a fractional factorial design that deine the aliases in the design.

• Discrete distribution

A probability distribution for a discrete random variable

• Exhaustive

A property of a collection of events that indicates that their union equals the sample space.

• Finite population correction factor

A term in the formula for the variance of a hypergeometric random variable.

• Forward selection

A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.

• Generator

Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.

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