- 11.1.1: Aw, nuts! A company claims that each batch of its deluxe mixed nuts...
- 11.1.2: Roulette Casinos are required to verify that their games operate as...
- 11.1.3: Aw, nuts! Calculate the chi-square statistic for the data in Exerci...
- 11.1.4: Roulette Calculate the chi-square statistic for the data in Exercis...
- 11.1.5: Aw, nuts! Refer to Exercises 1 and 3. (a) Confirm that the expected...
- 11.1.6: Roulette Refer to Exercises 2 and 4. (a) Confirm that the expected ...
- 11.1.7: Birds in the trees Researchers studied the behavior of birds that w...
- 11.1.8: Seagulls by the seashore Do seagulls show a preference for where th...
- 11.1.9: No chi-square A schools principal wants to know if students spend a...
- 11.1.10: No chi-square The principal in Exercise 9 also asked the random sam...
- 11.1.11: Benfords law Faked numbers in tax returns, invoices, or expense acc...
- 11.1.12: Housing According to the Census Bureau, the distribution by ethnic ...
- 11.1.13: Skittles Statistics teacher Jason Molesky contacted Mars, Inc., to ...
- 11.1.14: Is your random number generator working? Use your calculators RandI...
- 11.1.15: Whats your sign? The University of Chicagos General Social Survey (...
- 11.1.16: Munching Froot Loops Kelloggs Froot Loops cereal comes in six fruit...
- 11.1.17: Mendel and the peas Gregor Mendel (18221884), an Austrian monk, is ...
- 11.1.18: You say tomato The paper Linkage Studies of the Tomato (Transaction...
- 11.1.19: An appropriate null hypothesis to test whether the food choices are...
- 11.1.20: The chi-square statistic is (a) (18 25) 2 25 + (22 25) 2 25 + (39 2...
- 11.1.21: The P-value for a chi-square test for goodness of fit is 0.0129. Wh...
- 11.1.22: Which of the following is false? (a) A chi-square distribution with...
- 11.1.23: Exercises 23 through 25 refer to the following setting. Do students...
- 11.1.24: Exercises 23 through 25 refer to the following setting. Do students...
- 11.1.25: Exercises 23 through 25 refer to the following setting. Do students...
- 11.1.26: Yahtzee (5.3, 6.3) In the game of Yahtzee, 5 sixsided dice are roll...
Solutions for Chapter 11.1: Chi-Square Tests for Goodness of Fit
Full solutions for The Practice of Statistics | 5th Edition
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).
Adjusted R 2
A variation of the R 2 statistic that compensates for the number of parameters in a regression model. Essentially, the adjustment is a penalty for increasing the number of parameters in the model. Alias. In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability
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.
Coeficient of determination
See R 2 .
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.
The variance of the conditional probability distribution of a random variable.
A two-dimensional graphic used for a bivariate probability density function that displays curves for which the probability density function is constant.
Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.
Cumulative sum control chart (CUSUM)
A control chart in which the point plotted at time t is the sum of the measured deviations from target for all statistics up to time t
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment
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).
A study in which a sample from a population is used to make inference to the population. See Analytic study
An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.
A property of a collection of events that indicates that their union equals the sample space.
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r
A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.