 10.10.1: Define and for a statistical test of hypotheses
 10.10.2: An experimenter has prepared a drug dosage level that she claims wi...
 10.10.3: Refer to Exercise 10.2. a Find the rejection region of the form {y ...
 10.10.4: Suppose that we wish to test the null hypothesis H0 that the propor...
 10.10.5: Let Y1 and Y2 be independent and identically distributed with a uni...
 10.10.6: We are interested in testing whether or not a coin is balanced base...
 10.10.7: True or False Refer to Exercise 10.6. a The level of the test compu...
 10.10.8: A twostage clinical trial is planned for testing H0 : p = .10 vers...
 10.10.9: Applet Exercise Use the applet Hypothesis Testing (for Proportions)...
 10.10.11: Applet Exercise In Exercise 10.9(h), you observed that when the nul...
 10.10.12: Applet Exercise Refer to Exercise 10.11. Change to .1 but keep H0 :...
 10.10.13: Applet Exercise If you were to repeat the instructions of Exercise ...
 10.10.14: Applet Exercise Refer to Exercise 10.9. Set up the applet to test H...
 10.10.15: Applet Exercise Refer to Exercise 10.10. Click the button Clear Sum...
 10.10.16: Applet Exercise Refer to Exercise 10.15. Again, we wish to assess t...
 10.10.17: A survey published in the American Journal of Sports Medicine2 repo...
 10.10.18: The hourly wages in a particular industry are normally distributed ...
 10.10.19: The output voltage for an electric circuit is specified to be 130. ...
 10.10.21: Shear strength measurements derived from unconfined compression tes...
 10.10.22: In Exercise 8.66, we examined the results of a 2001 study by Leonar...
 10.10.23: Studies of the habits of whitetailed deer indicate that these deer...
 10.10.24: A study by Childrens Hospital in Boston indicates that about 67% of...
 10.10.25: An article in American Demographics reports that 67% of American ad...
 10.10.26: According to the Washington Post, nearly 45% of all Americans are b...
 10.10.27: The state of California is working very hard to ensure that all ele...
 10.10.28: The commercialism of the U.S. space program has been a topic of gre...
 10.10.29: A manufacturer of automatic washers offers a model in one of three ...
 10.10.31: What conditions must be met for the Z test to be used to test a hyp...
 10.10.32: In March 2001, a Gallup poll asked, How would you rate the overall ...
 10.10.33: A political researcher believes that the fraction p1 of Republicans...
 10.10.34: Exercise 8.58 stated that a random sample of 500 measurements on th...
 10.10.35: Michael Sosin9 investigated determinants that account for individua...
 10.10.36: Refer to Exercise 10.19. If the voltage falls as low as 128, seriou...
 10.10.37: Refer to Exercise 10.20. The steel is sufficiently hard to meet usa...
 10.10.38: Refer to Exercise 10.30. Calculate the value of for the alternative...
 10.10.39: Refer to Exercise 10.33. The political researcher should have desig...
 10.10.41: In Exercises 10.34 and 10.41, how large should the sample size be i...
 10.10.42: A random sample of 37 second graders who participated in sports had...
 10.10.43: Refer to Exercise 10.43. Find the sample sizes that give = .05 and ...
 10.10.44: Refer to Exercise 10.21. Construct a 99% confidence interval for th...
 10.10.45: Refer to Exercise 10.21. Construct a 99% confidence interval for th...
 10.10.46: A largesample level test of hypothesis for H0 : = 0 versus Ha : >...
 10.10.47: Refer to Exercise 10.32. Construct a 95% lower confidence bound for...
 10.10.48: A largesample level test of hypothesis for H0 : = 0 versus Ha : <...
 10.10.49: Refer to Exercise 10.19. Construct a 95% upper confidence bound for...
 10.10.51: Two sets of elementary schoolchildren were taught to read by using ...
 10.10.52: A biologist has hypothesized that high concentrations of actinomyci...
 10.10.53: How would you like to live to be 200 years old? For centuries, huma...
 10.10.54: Do you believe that an exceptionally high percentage of the executi...
 10.10.55: A checkcashing service found that approximately 5% of all checks s...
 10.10.56: A pharmaceutical company conducted an experiment to compare the mea...
 10.10.57: A publisher of a newsmagazine has found through past experience tha...
 10.10.58: In a study to assess various effects of using a female model in aut...
 10.10.59: Applet Exercise Use the applet Hypothesis Testing (for Proportions)...
 10.10.61: Why is the Z test usually inappropriate as a test procedure when th...
 10.10.62: What assumptions are made when a Students t test is employed to tes...
 10.10.63: A chemical process has produced, on the average, 800 tons of chemic...
 10.10.64: A coinoperated softdrink machine was designed to discharge on the...
 10.10.65: Operators of gasolinefueled vehicles complain about the price of g...
 10.10.66: Researchers have shown that cigarette smoking has a deleterious eff...
 10.10.67: Nutritional information provided by Kentucky Fried Chicken (KFC) cl...
 10.10.68: What assumptions are made about the populations from which independ...
 10.10.69: Two methods for teaching reading were applied to two randomly selec...
 10.10.71: Under normal conditions, is the average body temperature the same f...
 10.10.72: An Article in American Demographics investigated consumer habits at...
 10.10.73: In Exercise 8.83, we presented some data collected in a study by Su...
 10.10.74: Refer to Exercise 8.88. A report from a testing laboratory claims t...
 10.10.75: The tremendous growth of the Florida lobster (called spiny lobster)...
 10.10.76: Jan Lindhe conducted a study16 on the effect of an oral antiplaque ...
 10.10.77: In Exercise 8.90, we presented a summary of data regarding SAT scor...
 10.10.78: A manufacturer of hard safety hats for construction workers is conc...
 10.10.79: The manufacturer of a machine to package soap powder claimed that h...
 10.10.81: From two normal populations with respective variances 2 1 and 2 2 ,...
 10.10.82: Exercises 8.83 and 10.73 presented some data collected in a 1993 st...
 10.10.83: The manager of a dairy is in the market for a new bottlefilling ma...
 10.10.84: An experiment published in The American Biology Teacher studied the...
 10.10.85: Applet Exercise A precision instrument is guaranteed to be accurate...
 10.10.86: Aptitude tests should produce scores with a large amount of variati...
 10.10.87: Refer to Exercise 10.70. Is there sufficient evidence, at the 5% si...
 10.10.88: Refer to Exercise 10.2. Find the power of the test for each alterna...
 10.10.89: Refer to Exercise 10.5. Find the power of test 1 for each alternati...
 10.10.91: Let Y1, Y2,..., Y20 be a random sample of size n = 20 from a normal...
 10.10.92: Consider the situation described in Exercise 10.91. What is the sma...
 10.10.93: For a normal distribution with mean and variance 2 = 25, an experim...
 10.10.94: Suppose that Y1, Y2,..., Yn constitute a random sample from a norma...
 10.10.95: Suppose that we have a random sample of four observations from the ...
 10.10.96: Suppose Y is a random sample of size 1 from a population with densi...
 10.10.97: Suppose Y is a random sample of size 1 from a population with densi...
 10.10.98: Let Y1,..., Yn be a random sample from the probability density func...
 10.10.99: Let Y1, Y2,..., Yn denote a random sample from a population having ...
 10.10.101: Suppose that Y1, Y2,..., Yn denote a random sample from a populatio...
 10.10.102: Let Y1, Y2,..., Yn denote a random sample from a Bernoullidistribu...
 10.10.103: Let Y1, Y2,..., Yn denote a random sample from a uniform distributi...
 10.10.104: Refer to the random sample of Exercise 10.103. a Find the most powe...
 10.10.105: Let Y1, Y2,..., Yn denote a random sample from a normal distributio...
 10.10.106: Let Y1, Y2,..., Yn denote a random sample from a normal distributio...
 10.10.107: Let S2 1 and S2 2 denote, respectively, the variances of independen...
 10.10.108: Suppose that X1, X2,..., Xn1 , Y1, Y2,..., Yn2 , and W1, W2,..., Wn...
 10.10.109: Let X1, X2,..., Xm denote a random sample from the exponential dens...
 10.10.111: Suppose that we are interested in testing the simple null hypothesi...
 10.10.112: Suppose that independent random samples of sizes n1 and n2 are to b...
 10.10.113: Refer to Exercise 10.112. Show that in testing of H0 :1 = 2 versus ...
 10.10.114: Refer to Exercise 10.113. Suppose that another independent random s...
 10.10.115: True or False. a If the pvalue for a test is .036, the null hypoth...
 10.10.116: Refer to Exercise 10.6. Find power(p), for p = .2, .3, .4, .5, .6, ...
 10.10.117: Lord Rayleigh was one of the earliest scientists to study the densi...
 10.10.118: The effect of alcohol consumption on the body appears to be much gr...
 10.10.119: Currently, 20% of potential customers buy soap of brand A. To incre...
 10.10.121: The braking ability of two types of automobiles was compared. Rando...
 10.10.122: The stability of measurements of the characteristics of a manufactu...
 10.10.123: A pharmaceutical manufacturer purchases a particular material from ...
 10.10.124: The data in the following table give readings in footpounds of the...
 10.10.125: How much combustion efficiency should a homeowner expect from an oi...
 10.10.126: Suppose that X1, X2,..., Xn1 , Y1, Y2,..., Yn2 , and W1, W2,..., Wn...
 10.10.127: A merchant figures her weekly profit to be a function of three vari...
 10.10.128: A reading exam is given to the sixth graders at three large element...
 10.10.129: Suppose that Y1, Y2,..., Yn denote a random sample from the probabi...
Solutions for Chapter 10: Hypothesis Testing
Full solutions for Mathematical Statistics with Applications  7th Edition
ISBN: 9780495110811
Solutions for Chapter 10: Hypothesis Testing
Get Full SolutionsThis textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7th. Since 117 problems in chapter 10: Hypothesis Testing have been answered, more than 58062 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 10: Hypothesis Testing includes 117 full stepbystep solutions. Mathematical Statistics with Applications was written by Sieva Kozinsky and is associated to the ISBN: 9780495110811.

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

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

Asymptotic relative eficiency (ARE)
Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.

Bayes’ estimator
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.

Center line
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.

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.

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.

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.

Correlation coeficient
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).

Correlation matrix
A square matrix that contains the correlations among a set of random variables, say, XX X 1 2 k , ,…, . The main diagonal elements of the matrix are unity and the offdiagonal elements rij are the correlations between Xi and Xj .

Curvilinear regression
An expression sometimes used for nonlinear regression models or polynomial regression models.

Discrete distribution
A probability distribution for a discrete random variable

Empirical model
A model to relate a response to one or more regressors or factors that is developed from data obtained from the system.

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

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.

Estimate (or point estimate)
The numerical value of a point estimator.

Ftest
Any test of signiicance involving the F distribution. The most common Ftests are (1) testing hypotheses about the variances or standard deviations of two independent normal distributions, (2) testing hypotheses about treatment means or variance components in the analysis of variance, and (3) testing signiicance of regression or tests on subsets of parameters in a regression model.

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

Fixed factor (or fixed effect).
In analysis of variance, a factor or effect is considered ixed if all the levels of interest for that factor are included in the experiment. Conclusions are then valid about this set of levels only, although when the factor is quantitative, it is customary to it a model to the data for interpolating between these levels.

Geometric random variable
A discrete random variable that is the number of Bernoulli trials until a success occurs.
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