- 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
`-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).
In statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test
An estimator for a parameter obtained from a Bayesian method that uses a prior distribution for the parameter along with the conditional distribution of the data given the parameter to obtain the posterior distribution of the parameter. The estimator is obtained from the posterior distribution.
An equation for a conditional probability such as PA B ( | ) in terms of the reverse conditional probability PB A ( | ).
The joint probability distribution of two random variables.
In experimental design, a group of experimental units or material that is relatively homogeneous. The purpose of dividing experimental units into blocks is to produce an experimental design wherein variability within blocks is smaller than variability between blocks. This allows the factors of interest to be compared in an environment that has less variability than in an unblocked experiment.
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.
Components of variance
The individual components of the total variance that are attributable to speciic sources. This usually refers to the individual variance components arising from a random or mixed model analysis of variance.
Conditional probability distribution
The distribution of a random variable given that the random experiment produces an outcome in an event. The given event might specify values for one or more other random variables
The variance of the conditional probability distribution of a random variable.
Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.
A method to derive the probability density function of the sum of two independent random variables from an integral (or sum) of probability density (or mass) functions.
In regression, Cook’s distance is a measure of the inluence of each individual observation on the estimates of the regression model parameters. It expresses the distance that the vector of model parameter estimates with the ith observation removed lies from the vector of model parameter estimates based on all observations. Large values of Cook’s distance indicate that the observation is inluential.
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).
Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.
Estimator (or point estimator)
A procedure for producing an estimate of a parameter of interest. An estimator is usually a function of only sample data values, and when these data values are available, it results in an estimate of the parameter of interest.
A property of a collection of events that indicates that their union equals the sample space.
Fisher’s least signiicant difference (LSD) method
A series of pair-wise hypothesis tests of treatment means in an experiment to determine which means differ.
An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on
Geometric random variable
A discrete random variable that is the number of Bernoulli trials until a success occurs.