- 5.4.62E: X and Y are independent, normal random variables with Determine the...
- 5.4.63E: X and Y are independent, normal random variables with Determine the...
- 5.4.64E: Suppose that the random variable X represents the length of a punch...
- 5.4.65E: A plastic casing for a magnetic disk is composed of two halves. The...
- 5.4.66E: Making handcrafted pottery generally takes two major steps: wheel t...
- 5.4.67E: In the manufacture of electroluminescent lamps, several different l...
- 5.4.68E: The width of a casing for a door is normally distributed with a mea...
- 5.4.69E: An article in Knee Surgery Sports Traumatology, Arthroscopy [“Effec...
- 5.4.70E: An automated filling machine fills soft-drink cans, and the standar...
- 5.4.71E: The photoresist thickness in semiconductor manufacturinghas a mean ...
- 5.4.72E: Assume that the weights of individuals are independent and normally...
- 5.4.73E: Weights of parts are normally distributed with variance about the p...
- 5.4.74E: A U-shaped component is to be formed from the three parts A, B, and...
- 5.4.75E: Consider the perimeter of a part in Example 5-32. Let X1 and X2 den...
- 5.4.76E: Three electron emitters produce electron beams with changing kineti...
- 5.4.77E: In Exercise 5-31, the monthly demand for MMR vaccine was assumed to...
- 5.4.78E: The rate of return of an asset is the change in price divided by th...
Solutions for Chapter 5.4: 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).
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).
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.
An equation for a conditional probability such as PA B ( | ) in terms of the reverse conditional probability PB A ( | ).
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.
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.
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.
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.
The probability 1?a associated with a conidence interval expressing the probability that the stated interval will contain the true parameter value.
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 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 .
In the most general usage, a measure of the interdependence among data. The concept may include more than two variables. The term is most commonly used in a narrow sense to express the relationship between quantitative variables or ranks.
A probability distribution for a discrete random variable
Discrete random variable
A random variable with a inite (or countably ininite) range.
Estimate (or point estimate)
The numerical value of a point estimator.
Finite population correction factor
A term in the formula for the variance of a hypergeometric random variable.
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 .