- 9-5.1: F Test Statistic a. If s 1 2 represents the larger of two sample va...
- 9-5.2: F Test If using Data Set 1 in Appendix B for a test of the claim th...
- 9-5.3: Robust What does it mean when we say that the F test described in t...
- 9-5.4: Testing Normality Students of the author randomly selected 217 stud...
- 9-5.5: Hypothesis Test of Equal Variances. In Exercises 5 and 6, test the ...
- 9-5.6: Hypothesis Test of Equal Variances. In Exercises 5 and 6, test the ...
- 9-5.7: Hypothesis Tests of Claims About Variation. In Exercises 716, test ...
- 9-5.8: Hypothesis Tests of Claims About Variation. In Exercises 716, test ...
- 9-5.9: Hypothesis Tests of Claims About Variation. In Exercises 716, test ...
- 9-5.10: Hypothesis Tests of Claims About Variation. In Exercises 716, test ...
- 9-5.11: Hypothesis Tests of Claims About Variation. In Exercises 716, test ...
- 9-5.12: Hypothesis Tests of Claims About Variation. In Exercises 716, test ...
- 9-5.13: Hypothesis Tests of Claims About Variation. In Exercises 716, test ...
- 9-5.14: Hypothesis Tests of Claims About Variation. In Exercises 716, test ...
- 9-5.15: Hypothesis Tests of Claims About Variation. In Exercises 716, test ...
- 9-5.16: Hypothesis Tests of Claims About Variation. In Exercises 716, test ...
- 9-5.17: Large Data Sets. In Exercises 17 and 18, use the indicated Data Set...
- 9-5.18: Large Data Sets. In Exercises 17 and 18, use the indicated Data Set...
- 9-5.19: Count Five Test for Comparing Variation in Two Populations Use the ...
- 9-5.20: LeveneBrownForsythe Test for Comparing Variation in Two Populations...
- 9-5.21: Finding Lower Critical F Values For hypothesis tests that were twot...
Solutions for Chapter 9-5: Two Variances or Standard Deviations
Full solutions for Elementary Statistics | 12th Edition
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
Analysis of variance (ANOVA)
A method of decomposing the total variability in a set of observations, as measured by the sum of the squares of these observations from their average, into component sums of squares that are associated with speciic deined sources of variation
Asymptotic relative eficiency (ARE)
Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.
See Arithmetic mean.
Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability
The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.
Completely randomized design (or experiment)
A type of experimental design in which the treatments or design factors are assigned to the experimental units in a random manner. In designed experiments, a completely randomized design results from running all of the treatment combinations in random order.
The mean of the conditional probability distribution of a random variable.
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.
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
A probability distribution for a continuous random variable.
A two-dimensional graphic used for a bivariate probability density function that displays curves for which the probability density function is constant.
See Control chart.
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.
A model to relate a response to one or more regressors or factors that is developed from data obtained from the system.
A property of a collection of events that indicates that their union equals the sample space.
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
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.
Another name for the normal distribution, based on the strong connection of Karl F. Gauss to the normal distribution; often used in physics and electrical engineering applications