- 6.1.1E: Will the sample mean always correspond to one of the observations i...
- 6.1.2E: Will exactly half of the observations in a sample fall below the mean?
- 6.1.3E: Will the sample mean always be the most frequently occurring data v...
- 6.1.4E: For any set of data values, is it possible for the sample standard ...
- 6.1.5E: Can the sample standard deviation be equal to zero? If so, give an ...
- 6.1.6E: Suppose that you add 10 to all of the observations in a sample. How...
- 6.1.7E: Eight measurements were made on the inside diameter of forged pisto...
- 6.1.8E: In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents ...
- 6.1.9E: The January 1990 issue of Arizona Trend contains a supplement descr...
- 6.1.10E: An article in the Journal of Structural Engineering (Vol. 115, 1989...
- 6.1.11E: An article in Human Factors (June 1989) presented data on visual ac...
- 6.1.12E: The following data are direct solar intensity measurements (watts/m...
- 6.1.13E: The April 22, 1991, issue of Aviation Week and Space Technology rep...
- 6.1.14E: Preventing fatigue crack propagation in aircraft structures is an i...
- 6.1.15E: An article in the Journal of Physiology [“Response of Rat Muscle to...
- 6.1.16E: Exercise 6-11 describes data from an article in Human Factors on vi...
- 6.1.17E: The pH of a solution is measured eight times by one operator using ...
- 6.1.18E: An article in the Journal of Aircraft (1988) described the computat...
- 6.1.19E: The following data are the joint temperatures of the O-rings (°F) f...
- 6.1.20E: The United States has an aging infrastructure as witnessed by sever...
- 6.1.21E: In an attempt to measure the effects of acid rain, researchers meas...
- 6.1.22E: Cloud seeding, a process in which chemicals such as silver iodide a...
- 6.1.23E: Construct dot diagrams of the seeded and unseeded clouds and compar...
- 6.1.24E: In the 2000 Sydney Olympics, a special program initiated by IOC pre...
Solutions for Chapter 6.1: Applied Statistics and Probability for Engineers 6th Edition
Full solutions for Applied Statistics and Probability for Engineers | 6th Edition
`-error (or `-risk)
In hypothesis testing, an error incurred by rejecting a null hypothesis when it is actually true (also called a type I error).
The joint probability distribution of two random variables.
Box plot (or box and whisker plot)
A graphical display of data in which the box contains the middle 50% of the data (the interquartile range) with the median dividing it, and the whiskers extend to the smallest and largest values (or some deined lower and upper limits).
An attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defects-per-unit or U chart.
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.
A probability distribution for a continuous random variable.
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.
A graphical display used to monitor a process. It usually consists of a horizontal center line corresponding to the in-control value of the parameter that is being monitored and lower and upper control limits. The control limits are determined by statistical criteria and are not arbitrary, nor are they related to speciication limits. If sample points fall within the control limits, the process is said to be in-control, or free from assignable causes. Points beyond the control limits indicate an out-of-control process; that is, assignable causes are likely present. This signals the need to ind and remove the assignable causes.
See Control chart.
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 .
Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.
Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.
Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
The response variable in regression or a designed experiment.
A probability distribution for a discrete random variable
Distribution free method(s)
Any method of inference (hypothesis testing or conidence interval construction) that does not depend on the form of the underlying distribution of the observations. Sometimes called nonparametric method(s).
Error mean square
The error sum of squares divided by its number of degrees of freedom.
A subset of a 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 function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function