 13.13.1: The reaction times for two different stimuli in a psychological wor...
 13.13.2: Refer to Exercises 8.90 and 10.77. a Use an F test to determine whe...
 13.13.3: State the assumptions underlying the ANOVA of a completely randomiz...
 13.13.4: Refer to Example 13.2. Calculate the value of SSE by pooling the su...
 13.13.5: In Exercise 6.59, we showed that if Y1 and Y2 are independent 2dis...
 13.13.6: Suppose that independent samples of sizes n1, n2,..., nk are taken ...
 13.13.7: Four chemical plants, producing the same products and owned by the ...
 13.13.8: In a study of starting salaries for assistant professors, five male...
 13.13.9: In a comparison of the strengths of concrete produced by four exper...
 13.13.11: It is believed that women in the postmenopausal phase of life suffe...
 13.13.12: If vegetables intended for human consumption contain any pesticides...
 13.13.13: One portion of the research described in a paper by YeanJye Lu5 in...
 13.13.14: The Florida Game and Fish Commission desires to compare the amounts...
 13.13.15: Water samples were taken at four different locations in a river to ...
 13.13.16: An experiment was conducted to examine the effect of age on heart r...
 13.13.17: Let Yi denote the average of all of the responses to treatment i. U...
 13.13.18: Refer to Exercise 13.17 and consider Yi Yi for i = i . a Show that ...
 13.13.19: Refer to the statistical model for the oneway layout. a Show that ...
 13.13.21: Refer to Examples 13.2 and 13.4. a Use the portion of the data in T...
 13.13.22: a Based on your answers to Exercises 13.20 and 13.21 and the commen...
 13.13.23: Refer to Exercise 13.7. a Construct a 95% confidence interval for t...
 13.13.24: Refer to Exercise 13.8. Construct a 98% confidence interval for the...
 13.13.25: Refer to Exercise 13.11. As noted in the description of the experim...
 13.13.26: Refer to Exercise 13.9. Let A and B denote the mean strengths of co...
 13.13.27: Refer to Exercise 13.10. Let A and B, respectively, denote the mean...
 13.13.28: Refer to Exercise 13.12. a Construct a 95% confidence interval for ...
 13.13.29: Refer to Exercise 13.13. a Give a 95% confidence interval for the m...
 13.13.31: With the ongoing energy crisis, researchers for the major oil compa...
 13.13.32: Refer to Exercise 13.14. Construct a 95% confidence interval for th...
 13.13.33: Refer to Exercise 13.15. Compare the mean dissolved oxygen content ...
 13.13.34: Refer to Exercise 13.15. Compare the mean dissolved oxygen content ...
 13.13.35: Refer to Exercise 13.16. The average increase in heart rate for the...
 13.13.36: State the assumptions underlying the ANOVA for a randomized block d...
 13.13.37: According to the model for the randomized block design given in thi...
 13.13.38: Let Yi denote the average of all of the responses to treatment i. U...
 13.13.39: Refer to Exercise 13.38 and consider Yi Yi for i = i . a Show that ...
 13.13.41: In Exercise 12.10, a matchedpairs analysis was performed to compar...
 13.13.42: The accompanying table presents data on yields relating to resistan...
 13.13.43: Refer to Exercise 13.42. Why was a randomized block design used to ...
 13.13.44: Do average automobile insurance costs differ for different insuranc...
 13.13.45: An experiment was conducted to determine the effect of three method...
 13.13.46: A. E. Dudeck and C. H. Peacock report on an experiment conducted to...
 13.13.47: Refer to Exercise 13.31. Suppose that we now find out that the 16 e...
 13.13.48: Suppose that a randomized block design with b blocks and k treatmen...
 13.13.49: An evaluation of diffusion bonding of zircaloy components is perfor...
 13.13.51: Refer to the model for the randomized block design presented in Sec...
 13.13.52: Refer to Exercises 13.41 and 12.10. Find a 95% confidence interval ...
 13.13.53: Refer to Exercise 13.42. Construct a 95% confidence interval for th...
 13.13.54: Refer to Exercise 13.45. Construct a 90% confidence interval for th...
 13.13.55: Refer to Exercise 13.46. Construct a 95% confidence interval for th...
 13.13.56: Refer to Exercise 13.47. Construct a 95% confidence interval for th...
 13.13.57: Refer to Exercise 13.49. Estimate the difference in mean pressures ...
 13.13.58: Refer to Exercise 13.9. a About how many specimens per concrete mix...
 13.13.59: Refer to Exercises 13.10 and 13.27(a). Approximately how many obser...
 13.13.61: Refer to Exercise 13.45. a How many locations need to be used to es...
 13.13.62: Refer to Exercises 13.47 and 13.55. How many locations should be us...
 13.13.63: Refer to Example 13.9. The six confidence intervals for i i were ob...
 13.13.64: Refer to Exercise 13.63 and Example 13.9. a Use the exact value for...
 13.13.65: Refer to Exercise 13.13. Construct confidence intervals for all pos...
 13.13.66: Refer to Exercise 13.12. After looking at the data, a reader of the...
 13.13.67: Refer to Exercise 13.45. Construct confidence intervals for all pos...
 13.13.68: Refer to Exercises 13.31 and 13.47. Because method 4 is the most ex...
 13.13.69: Refer to Example 13.11. In Exercise 13.37, you interpreted the para...
 13.13.71: Refer to Exercise 13.42. Answer part (a) by fitting complete and re...
 13.13.72: Refer to Exercise 13.45. Answer part (b) by constructing an F test,...
 13.13.73: Assume that n = bk experimental units are available for use in an e...
 13.13.74: Refer to Exercise 13.73. a If a completely randomized design is emp...
 13.13.75: Three skin cleansing agents were used on three persons. For each pe...
 13.13.76: Refer to Exercise 13.9. Suppose that the sand used in the mixes for...
 13.13.77: Refer to Exercise 13.76. Let A and B, respectively, denote the mean...
 13.13.78: A study was initiated to investigate the effect of two drugs, admin...
 13.13.79: Refer to Exercise 13.78. Suppose that a balanced completely randomi...
 13.13.81: Refer to Exercise 13.80. Suppose that the gas mileage is unrelated ...
 13.13.82: In the hope of attracting more riders, a city transit company plans...
 13.13.83: A study was conducted to compare the effect of three levels of digi...
 13.13.84: Refer to Exercise 13.83. Approximately how many replications are re...
 13.13.85: A completely randomized design was conducted to compare the effects...
 13.13.86: Because we would expect mean reaction time to vary from one person ...
 13.13.87: Refer to Exercise 13.46. Construct confidence intervals to compare ...
 13.13.88: Show that Total SS = SST + SSB + SSE for a randomized block design,...
 13.13.89: Consider the following model for the responses measured in a random...
 13.13.91: Refer to the model for the randomized block design with random bloc...
 13.13.92: Refer to the model for the randomized block design with random bloc...
 13.13.93: Suppose that Y1, Y2,..., Yn is a random sample from a normal distri...
 13.13.94: Consider a oneway layout with k treatments. Assume that Yi j is th...
Solutions for Chapter 13: The Analysis of Variance
Full solutions for Mathematical Statistics with Applications  7th Edition
ISBN: 9780495110811
Solutions for Chapter 13: The Analysis of Variance
Get Full SolutionsThis textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7th. Chapter 13: The Analysis of Variance includes 85 full stepbystep solutions. Mathematical Statistics with Applications was written by and is associated to the ISBN: 9780495110811. This expansive textbook survival guide covers the following chapters and their solutions. Since 85 problems in chapter 13: The Analysis of Variance have been answered, more than 80762 students have viewed full stepbystep solutions from this chapter.

Additivity property of x 2
If two independent random variables X1 and X2 are distributed as chisquare with v1 and v2 degrees of freedom, respectively, Y = + X X 1 2 is a chisquare random variable with u = + v v 1 2 degrees of freedom. This generalizes to any number of independent chisquare random variables.

All possible (subsets) regressions
A method of variable selection in regression that examines all possible subsets of the candidate regressor variables. Eficient computer algorithms have been developed for implementing all possible regressions

Average
See Arithmetic mean.

Bayesâ€™ theorem
An equation for a conditional probability such as PA B (  ) in terms of the reverse conditional probability PB A (  ).

Bivariate distribution
The joint probability distribution of two random variables.

Chance cause
The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.

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

Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete random variable.

Conidence coeficient
The probability 1?a associated with a conidence interval expressing the probability that the stated interval will contain the true parameter value.

Control chart
A graphical display used to monitor a process. It usually consists of a horizontal center line corresponding to the incontrol 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 incontrol, or free from assignable causes. Points beyond the control limits indicate an outofcontrol process; that is, assignable causes are likely present. This signals the need to ind and remove the assignable causes.

Correlation
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.

Counting techniques
Formulas used to determine the number of elements in sample spaces and events.

Critical value(s)
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.

Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.

Defectsperunit control chart
See U chart

Deining relation
A subset of effects in a fractional factorial design that deine the aliases in the design.

Eficiency
A concept in parameter estimation that uses the variances of different estimators; essentially, an estimator is more eficient than another estimator if it has smaller variance. When estimators are biased, the concept requires modiication.

Exponential random variable
A series of tests in which changes are made to the system under study

Fraction defective control chart
See P chart