 15.1E: What significance levels between ? = .01 and ? = .15 are available ...
 15.3E: Clinical data concerning the effectiveness of two drugs for treatin...
 15.4E: For a comparison of the academic effectiveness of two junior high s...
 15.5E: New food products are frequently subjected to taste tests by a pane...
 15.6E: On clear, cold nights in the central Florida citrus region, the pre...
 15.7E: A psychological experiment was conducted to compare the lengths of ...
 15.8E: Refer to Exercise 12.15. Using the sign test, do you find sufficien...
 15.9E: The data set in the accompanying table represents the number of ind...
 15.10E: If a matchedpairs experiment using n pair of observations is condu...
 15.11E: Refer to Exercise 15.10. If T + has been calculated, what is the ea...
 15.12E: The accompanying table gives the scores of a group of 15 students i...
 15.13E: Refer to Exercise 15.4. What answers are obtained if Wilcoxon’s sig...
 15.14E: Refer to Exercise 15.6(a). Answer the question by using the Wilcoxo...
 15.15E: Eight subjects were asked to perform a simple puzzleassembly task ...
 15.16E: Two methods, A and B, for controlling traffic were employed at each...
 15.17E: Dental researchers have developed a new material for preventing cav...
 15.20E: The spokesperson for an organization supporting propertytax reduct...
 15.21E: Find the pvalues associated with each of the following scenarios f...
 15.25E: Fifteen experimental batteries were selected at random from a lot a...
 15.28E: Cancer treatment using chemotherapy employs chemicals that kill bot...
 15.27E: Given below are wing stroke frequencies4 for samples of two species...
 15.29E: The table that follows contains data on the leaf length for plants ...
 15.30E: A company plans to promote a new product by using one of three adve...
 15.31E: Three different brands of magnetron tubes (the key components in mi...
 15.32E: An experiment was conducted to compare the length of time it takes ...
 15.33E: The EPA wants to determine whether temperature changes in the ocean...
 15.34E: Weevils cause millions of dollars worth of damage each year to cott...
 15.35E: The Kruskal–Wallis statistic is Perform the indicated squaring of e...
 15.36E: Assuming no ties, obtain the exact null distribution of the Kruskal...
 15.37E: In a study of palatability of antibiotics for children, Doreen Mats...
 15.38E: An experiment was performed to assess whether heavy metals accumula...
 15.39E: Corrosion of metals is a problem in many mechanical devices. Three ...
 15.40E: A serious droughtrelated problem for farmers is the spread of afla...
 15.41E: A study was performed to compare the preferences of eight “expert l...
 15.42E: An experiment is conducted to investigate the toxic effect of three...
 15.43E:
 15.44E: Consider the Friedman statistic Square each term in the sum, and sh...
 15.45E: If there are no ties and b = 2, k = 3, derive the exact null distri...
 15.46E: Consider a runs test based on n1 = n2 = 5 elements. Assuming H0 to ...
 15.47E: A union supervisor claims that applicants for jobs are selected wit...
 15.48E: The conditions (D for diseased, S for sound) of the individual tree...
 15.49E: Items emerging from a continuous production process were classified...
 15.50E: A quality control chart has been maintained for a measurable charac...
 15.51E: Refer to Exercise 15.24. Use the runs test to analyze the data. Com...
 15.52E: Refer to Exercise 15.25. If indeed the experimental batteries have ...
 15.53E: An experiment was conducted to study the relationship between the r...
 15.54E: Manufacturers of perishable foods often use preservatives to retard...
 15.55E: A large corporation selects graduates for employment by using both ...
 15.56E: A large corporation selects graduates for employment by using both ...
 15.57E: Refer to Exercise 15.12. Compute Spearman’s rank correlation coeffi...
 15.58E: The data shown in the accompanying table give measures of bending a...
 15.59E: Refer to Exercise 11.4. Regard both book and audited values as rand...
 15.60E: Refer to Exercise 11.8. Treating both flowthrough and static value...
 15.61SE: As consumers become more and more interested in eating healthy food...
 15.62SE: Two gourmets, A and B, rated 20 meals on a scale of 1 to 10. The da...
 15.63SE: Refer to the comparison of gourmet meal ratings in Exercise 15.62 a...
 15.64SE: In an investigation of the visualscanning behavior of deaf childre...
 15.65SE: A comparison of reaction (in seconds) to two different stimuli in a...
 15.67SE: Calculate the probability that U ? 2 for n1 = n2 = 5. Assume that n...
 15.68SE: Calculate the probability that the Wilcoxon T (Section 15.4) is les...
 15.69SE: To investigate possible differences among production rates for thre...
 15.71SE: The leaders of a labor union want to determine its members’ prefere...
 15.72SE: Six groups of three children matched for IQ and age were formed. Ea...
 15.74SE: Consider a Wilcoxon ranksum test for the comparison of two probabi...
 15.75SE: For the sample from population I, let U denote the Mann–Whitney sta...
 15.76SE: Refer to Exercise 15.75.a Show that E(U ) = (1/2)n1n2 when H0 is tr...
 15.78SE: Refer to the Spearman rank correlation coefficient of Section 15.10...
Solutions for Chapter 15: Mathematical Statistics with Applications 7th Edition
Full solutions for Mathematical Statistics with Applications  7th Edition
ISBN: 9780495110811
Solutions for Chapter 15
Get Full SolutionsSince 67 problems in chapter 15 have been answered, more than 80110 students have viewed full stepbystep solutions from this chapter. Chapter 15 includes 67 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. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7th.

Alternative hypothesis
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

Analysis of variance (ANOVA)
A method of decomposing the total variability in a set of observations, as measured by the sum of the squares of these observations from their average, into component sums of squares that are associated with speciic deined sources of variation

Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability

Block
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.

Central composite design (CCD)
A secondorder response surface design in k variables consisting of a twolevel factorial, 2k axial runs, and one or more center points. The twolevel factorial portion of a CCD can be a fractional factorial design when k is large. The CCD is the most widely used design for itting a secondorder model.

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

Confounding
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.

Conidence interval
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

Contour plot
A twodimensional graphic used for a bivariate probability density function that displays curves for which the probability density function is constant.

Control limits
See Control chart.

Covariance
A measure of association between two random variables obtained as the expected value of the product of the two random variables around their means; that is, Cov(X Y, ) [( )( )] =? ? E X Y ? ? X Y .

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

Enumerative study
A study in which a sample from a population is used to make inference to the population. See Analytic study

Error mean square
The error sum of squares divided by its number of degrees of freedom.

Experiment
A series of tests in which changes are made to the system under study

Firstorder model
A model that contains only irstorder terms. For example, the irstorder response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irstorder model is also called a main effects model

Fraction defective
In statistical quality control, that portion of a number of units or the output of a process that is defective.

Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r

Gaussian distribution
Another name for the normal distribution, based on the strong connection of Karl F. Gauss to the normal distribution; often used in physics and electrical engineering applications

Goodness of fit
In general, the agreement of a set of observed values and a set of theoretical values that depend on some hypothesis. The term is often used in itting a theoretical distribution to a set of observations.