- 8-6.1: Draw a normal curve, labeling the critical values, critical regions...
- 8-6.2: Draw a confidence interval directly below the normal distribution, ...
- 8-6.3: Explain which parts from each approach are the same and which parts...
- 8-6.4: Draw a picture of a normal curve and confidence interval where the ...
- 8-6.5: Draw a picture of a normal curve and confidence interval where the ...
- 8-6.6: Draw a picture of a normal curve and confidence interval where the ...
- 8-6.1: Ski Shop Sales A ski shop manager claims that the average of the sa...
- 8-6.2: One-Way Airfares The average one-way airfare from Pittsburgh to Was...
- 8-6.3: Condominium Monthly Maintenance Fees The sales manager of a rental ...
- 8-6.4: Canoe Trip Times The average time it takes a person in a one-person...
- 8-6.5: Working at Home Workers with a formal arrangement with their employ...
- 8-6.6: Newspaper Reading Times A survey taken several years ago found that...
- 8-6.7: What is meant by the power of a test?
- 8-6.8: How is the power of a test related to the type II error?
- 8-6.9: How can the power of a test be increased?
Solutions for Chapter 8-6: Hypothesis Testing
Full solutions for Elementary Statistics: A Step by Step Approach | 7th Edition
2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.
a-error (or a-risk)
In hypothesis testing, an error incurred by failing to reject a null hypothesis when it is actually false (also called a type II error).
In hypothesis testing, a region in the sample space of the test statistic such that if the test statistic falls within it, the null hypothesis cannot be rejected. This terminology is used because rejection of H0 is always a strong conclusion and acceptance of H0 is generally a weak conclusion
All possible (subsets) regressions
A method of variable selection in regression that examines all possible subsets of the candidate regressor variables. Eficient computer algorithms have been developed for implementing all possible regressions
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.
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
A subset selected without replacement from a set used to determine the number of outcomes in events and sample spaces.
Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete random variable.
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria
A two-dimensional graphic used for a bivariate probability density function that displays curves for which the probability density function is constant.
A term used for the quantity ( / )( ) 1 1 2 n xi i n ? = that is subtracted from xi i n 2 ? =1 to give the corrected sum of squares deined as (/ ) ( ) 1 1 2 n xx i x i n ? = i ? . The correction factor can also be written as nx 2 .
Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.
An expression sometimes used for nonlinear regression models or polynomial regression models.
Error mean square
The error sum of squares divided by its number of degrees of freedom.
Exponential random variable
A series of tests in which changes are made to the system under study
Finite population correction factor
A term in the formula for the variance of a hypergeometric random variable.
Fixed factor (or fixed effect).
In analysis of variance, a factor or effect is considered ixed if all the levels of interest for that factor are included in the experiment. Conclusions are then valid about this set of levels only, although when the factor is quantitative, it is customary to it a model to the data for interpolating between these levels.
A function used in the probability density function of a gamma random variable that can be considered to extend factorials
A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function
Goodness of fit
In general, the agreement of a set of observed values and a set of theoretical values that depend on some hypothesis. The term is often used in itting a theoretical distribution to a set of observations.