- 8-1.1: What prompted the study?
- 8-1.2: What is the population under study?
- 8-1.3: Was a sample collected?
- 8-1.4: What was the hypothesis?
- 8-1.5: Were data collected?
- 8-1.6: Were any statistical tests run?
- 8-1.7: What was the conclusion?
- 8-1.8: Explain what is meant by a significant difference
- 8-1.9: When should a one-tailed test be used? A two-tailed test?
- 8-1.10: List the steps in hypothesis testing.
- 8-1.11: In hypothesis testing, why cant the hypothesis be proved true?
- 8-1.12: Using the z table (Table E), find the critical value (or values) fo...
- 8-1.13: For each conjecture, state the null and alternative hypotheses. a. ...
Solutions for Chapter 8-1: Hypothesis Testing
Full solutions for Elementary Statistics: A Step by Step Approach | 7th Edition
Bivariate normal distribution
The joint distribution of two normal random variables
Coeficient of determination
See R 2 .
Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete random variable.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.
Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.
Continuous uniform random variable
A continuous random variable with range of a inite interval and a constant probability density function.
A method to derive the probability density function of the sum of two independent random variables from an integral (or sum) of probability density (or mass) functions.
Defects-per-unit control chart
See U chart
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.
A matrix that provides the tests that are to be conducted in an experiment.
A probability distribution for a discrete random variable
Another name for a cumulative distribution function.
The distribution of the random variable deined as the ratio of two independent chi-square random variables, each divided by its number of degrees of freedom.
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.
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.
Fraction defective control chart
See P chart
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.
Geometric random variable
A discrete random variable that is the number of Bernoulli trials until a success occurs.
In multiple regression, the matrix H XXX X = ( ) ? ? -1 . This a projection matrix that maps the vector of observed response values into a vector of itted values by yˆ = = X X X X y Hy ( ) ? ? ?1 .