- 7.R7.1: Bad eggs Sale of eggs that are contaminated with salmonella can cau...
- 7.R7.2: Birth weights (a) Sketch a possible graph of the distribution of sa...
- 7.R7.3: Birth weights (a) Is the sample range an unbiased estimator of the ...
- 7.R7.4: Do you jog? The Gallup Poll once asked a random sample of 1540 adul...
- 7.R7.5: Bag check Thousands of travelers pass through the airport in Guadal...
- 7.R7.6: IQ tests The Wechsler Adult Intelligence Scale (WAIS) is a common I...
- 7.R7.7: Detecting gypsy moths The gypsy moth is a serious threat to oak and...
Solutions for Chapter 7: The Practice of Statistics 4th Edition
Full solutions for The Practice of Statistics | 4th Edition
2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.
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
Bivariate normal distribution
The joint distribution of two normal random variables
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.
Chi-square (or chi-squared) random variable
A continuous random variable that results from the sum of squares of independent standard normal random variables. It is a special case of a gamma random variable.
Coeficient of determination
See R 2 .
The variance of the conditional probability distribution of a random variable.
A probability distribution for a continuous random variable.
Continuous uniform random variable
A continuous random variable with range of a inite interval and a constant probability density function.
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).
A square matrix that contains the correlations among a set of random variables, say, XX X 1 2 k , ,…, . The main diagonal elements of the matrix are unity and the off-diagonal elements rij are the correlations between Xi and Xj .
In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.
Another name for a probability density function
In statistical quality control, that portion of a number of units or the output of a process that is defective.
An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on
A function used in the probability density function of a gamma random variable that can be considered to extend factorials
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
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.
The harmonic mean of a set of data values is the reciprocal of the arithmetic mean of the reciprocals of the data values; that is, h n x i n i = ? ? ? ? ? = ? ? 1 1 1 1 g .