 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 130817 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: 7.

aerror (or arisk)
In hypothesis testing, an error incurred by failing to reject a null hypothesis when it is actually false (also called a type II error).

Analytic study
A study in which a sample from a population is used to make inference to a future population. Stability needs to be assumed. See Enumerative study

Backward elimination
A method of variable selection in regression that begins with all of the candidate regressor variables in the model and eliminates the insigniicant regressors one at a time until only signiicant regressors remain

Central tendency
The tendency of data to cluster around some value. Central tendency is usually expressed by a measure of location such as the mean, median, or mode.

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.

Conditional probability
The probability of an event given that the random experiment produces an outcome in another event.

Conditional variance.
The variance of the conditional probability distribution of a 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.

Convolution
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.

Cook’s distance
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.

Degrees of freedom.
The number of independent comparisons that can be made among the elements of a sample. The term is analogous to the number of degrees of freedom for an object in a dynamic system, which is the number of independent coordinates required to determine the motion of the object.

Discrete random variable
A random variable with a inite (or countably ininite) range.

Error propagation
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.

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.

Event
A subset of a sample space.

Factorial experiment
A type of experimental design in which every level of one factor is tested in combination with every level of another factor. In general, in a factorial experiment, all possible combinations of factor levels are tested.

Forward selection
A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.

Fraction defective control chart
See P chart

Fractional factorial experiment
A type of factorial experiment in which not all possible treatment combinations are run. This is usually done to reduce the size of an experiment with several factors.

Harmonic mean
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 .