- 4-6.4-39: 4-39. Use Appendix Table II to determine the following probabilitie...
- 4-6.4-40: Use Appendix Table II to determine the following probabilities for ...
- 4-6.4-41: 4-41. Assume Z has a standard normal distribution. Use Appendix Tab...
- 4-6.4-42: Assume Z has a standard normal distribution. Use Appendix Table II ...
- 4-6.4-43: 4-43. Assume X is normally distributed with a mean of 10 and a stan...
- 4-6.4-44: Assume X is normally distributed with a mean of 10 and a standard d...
- 4-6.4-45: 4-45. Assume X is normally distributed with a mean of 5 and a stand...
- 4-6.4-46: Assume X is normally distributed with a mean of 5 and a standard de...
- 4-6.4-47: 4-47. The compressive strength of samples of cement can be modeled ...
- 4-6.4-48: The tensile strength of paper is modeled by a normal distribution w...
- 4-6.4-49: 4-49. The line width of for semiconductor manufacturing is assumed ...
- 4-6.4-50: The fill volume of an automated filling machine used for filling ca...
- 4-6.4-51: 4-51. The time it takes a cell to divide (called mitosis) is normal...
- 4-6.4-52: In the previous exercise, suppose that the mean of the filling oper...
- 4-6.4-53: 4-53. The reaction time of a driver to visual stimulus is normally ...
- 4-6.4-54: The speed of a file transfer from a server on campus to a personal ...
- 4-6.4-55: 4-55. The length of an injection-molded plastic case that holds mag...
- 4-6.4-56: In the previous exercise assume that the process is centered so tha...
- 4-6.4-57: 4-57. The sick-leave time of employees in a firm in a month is norm...
- 4-6.4-58: The life of a semiconductor laser at a constant power is normally d...
- 4-6.4-59: 4-59. The diameter of the dot produced by a printer is normally dis...
- 4-6.4-60: The weight of a sophisticated running shoe is normally distributed ...
Solutions for Chapter 4-6: NORMAL DISTRIBUTION
Full solutions for Applied Statistics and Probability for Engineers | 3rd Edition
2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.
A qualitative characteristic of an item or unit, usually arising in quality control. For example, classifying production units as defective or nondefective results in attributes data.
Average run length, or ARL
The average number of samples taken in a process monitoring or inspection scheme until the scheme signals that the process is operating at a level different from the level in which it began.
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.
An experiment in which the treatments (experimental conditions) that are to be studied are included in the experiment. The data from the experiment are used to evaluate the treatments.
The probability of an event given that the random experiment produces an outcome in another event.
Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete random variable.
The variance of the conditional probability distribution of a random variable.
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
Another term for the conidence coeficient.
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria
The value of a statistic corresponding to a stated signiicance level as determined from the sampling distribution. For example, if PZ z PZ ( )( .) . ? =? = 0 025 . 1 96 0 025, then z0 025 . = 1 9. 6 is the critical value of z at the 0.025 level of signiicance. Crossed factors. Another name for factors that are arranged in a factorial experiment.
Defects-per-unit control chart
See U chart
Deming’s 14 points.
A management philosophy promoted by W. Edwards Deming that emphasizes the importance of change and quality
The amount of variability exhibited by data
A study in which a sample from a population is used to make inference to the population. See Analytic study
Estimate (or point estimate)
The numerical value of a point estimator.
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.
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
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 .