 10.1E: Define ? and ? for a statistical test of hypotheses.
 10.2E: An experimenter has prepared a drug dosage level that she claims wi...
 10.3E: Refer to Exercise 10.2.a Find the rejection region of the form {y ?...
 10.4E: Suppose that we wish to test the null hypothesis H0 that the propor...
 10.5E: Let Y1 and Y2 be independent and identically distributed with a uni...
 10.6E: We are interested in testing whether or not a coin is balanced base...
 10.7E: True or False Refer to Exercise 10.6.a The level of the test comput...
 10.8E: A twostage clinical trial is planned for testing H0 : p = .10 vers...
 10.9E: Applet Exercise Use the applet Hypothesis Testing (for Proportions)...
 10.10E: Applet Exercise Refer to Exercise 10.9. Click the button “Clear Sum...
 10.11E: Applet Exercise In Exercise 10.9(h), you observed that when the nul...
 10.12E: Applet Exercise Refer to Exercise 10.11. Change ? to .1 but keep H0...
 10.13E: Applet Exercise If you were to repeat the instructions of Exercise ...
 10.14E: Applet Exercise Refer to Exercise 10.9. Set up the applet to test H...
 10.15E: Applet Exercise Refer to Exercise 10.10. Click the button “Clear Su...
 10.16E: Applet Exercise Refer to Exercise 10.15. Again, we wish to assess t...
 10.17E: A survey published in the American Journal of Sports Medicine2 repo...
 10.18E: The hourly wages in a particular industry are normally distributed ...
 10.19E: The output voltage for an electric circuit is specified to be 130. ...
 10.20E: The Rockwell hardness index for steel is determined by pressing a d...
 10.21E: Shear strength measurements derived from unconfined compression tes...
 10.22E: In Exercise 8.66, we examined the results of a 2001 study by Leonar...
 10.23E: Studies of the habits of whitetailed deer indicate that these deer...
 10.24E: A study by Children’s Hospital in Boston indicates that about 67% o...
 10.25E: An article in American Demographics reports that 67% of American ad...
 10.26E: According to the Washington Post, nearly 45% of all Americans are b...
 10.27E: The state of California is working very hard to ensure that all ele...
 10.28E: The commercialism of the U.S. space program has been a topic of gre...
 10.29E: A manufacturer of automatic washers offers a model in one of three ...
 10.30E: A manufacturer claimed that at least 20%of the public preferred her...
 10.31E: What conditions must be met for the Z test to be used to test a hyp...
 10.32E: In March 2001, a Gallup poll asked, “How would you rate the overall...
 10.33E: Apolitical researcher believes that the fraction p1 of Republicans ...
 10.34E: Exercise 8.58 stated that a random sample of 500 measurements on th...
 10.35E: Michael Sosin9 investigated determinants that account for individua...
 10.36E: Refer to Exercise 8.68(b). Is there evidence of a difference betwee...
 10.37E: Refer to Exercise 10.19. If the voltage falls as low as 128, seriou...
 10.38E: Refer to Exercise 10.20. The steel is sufficiently hard to meet usa...
 10.39E: Refer to Exercise 10.30. Calculate the value of ? for the alternati...
 10.40E: Refer to Exercise 10.33. The political researcher should have desig...
 10.41E: Refer to Exercise 10.34. Using the rejection region found there, ca...
 10.42E: In Exercises 10.34 and 10.41, how large should the sample size be i...
 10.43E: A random sample of 37 second graders who participated in sports had...
 10.44E: Refer to Exercise 10.43. Find the sample sizes that give ? = .05 an...
 10.45E: Refer to Exercise 10.21. Construct a 99% confidence interval for th...
 10.46E: A largesample ?level test of hypothesis for H0 : ? = ?0 versus Ha...
 10.47E: Refer to Exercise 10.32. Construct a 95% lower confidence bound for...
 10.48E: A largesample ?level test of hypothesis for H0 : ? = ?0 versus Ha...
 10.49E: Refer to Exercise 10.19. Construct a 95% upper confidence bound for...
 10.50E: High airline occupancy rates on scheduled flights are essential for...
 10.51E: Two sets of elementary schoolchildren were taught to read by using ...
 10.52E: A biologist has hypothesized that high concentrations of actinomyci...
 10.53E: How would you like to live to be 200 years old? For centuries, huma...
 10.54E: Do you believe that an exceptionally high percentage of the executi...
 10.55E: A checkcashing service found that approximately 5% of all checks s...
 10.56E: A pharmaceutical company conducted an experiment to compare the mea...
 10.57E: A publisher of a newsmagazine has found through past experience tha...
 10.58E: In a study to assess various effects of using a female model in aut...
 10.59E: Applet Exercise Use the applet Hypothesis Testing (for Proportions)...
 10.60E: Applet Exercise Refer to Exercise 10.59. Set up the applet to simul...
 10.61E: Why is the Z test usually inappropriate as a test procedure when th...
 10.62E: What assumptions are made when a Student’s t test is employed to te...
 10.63E: A chemical process has produced, on the average, 800 tons of chemic...
 10.64E: A coinoperated softdrink machine was designed to discharge on the...
 10.65E: Operators of gasolinefueled vehicles complain about the price of g...
 10.66E: Researchers have shown that cigarette smoking has a deleterious eff...
 10.67E: Nutritional information provided by Kentucky Fried Chicken (KFC) cl...
 10.68E: What assumptions are made about the populations from which independ...
 10.69E: Two methods for teaching reading were applied to two randomly selec...
 10.70E: A study was conducted by the Florida Game and Fish Commission to as...
 10.71E: Under normal conditions, is the average body temperature the same f...
 10.72E: An Article in American Demographics investigated consumer habits at...
 10.73E: In Exercise 8.83, we presented some data collected in a study by Su...
 10.74E: Refer to Exercise 8.88. A report from a testing laboratory claims t...
 10.75E: The tremendous growth of the Florida lobster (called spiny lobster)...
 10.76E: Jan Lindhe conducted a study16 on the effect of an oral antiplaque ...
 10.77E: In Exercise 8.90, we presented a summary of data regarding SAT scor...
 10.78E: A manufacturer of hard safety hats for construction workers is conc...
 10.79E: The manufacturer of a machine to package soap powder claimed that h...
 10.80E: Under what assumptions may the F distribution be used in making inf...
 10.81E: Notice that this gives an equivalent method for testing the equalit...
 10.82E: Exercises 8.83 and 10.73 presented some data collected in a 1993 st...
 10.83E: The manager of a dairy is in the market for a new bottlefilling ma...
 10.84E: An experiment published in The American Biology Teacher studied the...
 10.85E: Applet Exercise A precision instrument is guaranteed to be accurate...
 10.86E: Aptitude tests should produce scores with a large amount of variati...
 10.87E: Refer to Exercise 10.70. Is there sufficient evidence, at the 5% si...
 10.88E: Refer to Exercise 10.2. Find the power of the test for each alterna...
 10.89E: Refer to Exercise 10.5. Find the power of test 1 for each alternati...
 10.90E: Refer to Exercise 10.5.a Find the power of test 2 for each of the f...
 10.91E: Let Y1, Y2, . . . , Y20 be a random sample of size n = 20from a nor...
 10.92E: Consider the situation described in Exercise 10.91. What is the sma...
 10.93E: For a normal distribution with mean ? and variance ? 2 = 25, an exp...
 10.94E:
 10.95E: Suppose that we have a random sample of four observations from the ...
 10.96E: Suppose Y is a random sample of size 1 from a population with densi...
 10.97E: Let Y1, Y2, . . . , Yn be independent and identically distributed r...
 10.98E: Let Y1, . . . , Yn be a random sample from the probability density ...
 10.99E: Let Y1, Y2, . . . , Yn denote a random sample from a population hav...
 10.100E: Let Y1, Y2, . . . , Yn denote a random sample from a population hav...
 10.101E: Suppose that Y1, Y2, . . . , Yn denote a random sample from a popul...
 10.102E: Let Y1, Y2, . . . , Yn denote a random sample from a Bernoullidist...
 10.103E: Let Y1, Y2, . . . , Yn denote a random sample from a uniform distri...
 10.104E: Refer to the random sample of Exercise 10.103.a Find the most power...
 10.105E: Let Y1, Y2, . . . , Yn denote a random sample from a normal distrib...
 10.106E: A survey of voter sentiment was conducted in four midcity political...
 10.107E: Let S2 1 and S2 2 denote, respectively, the variances of independen...
 10.108E: Suppose that X1, X2, . . . , Xn1 , Y1, Y2, . . . , Yn2, and W1, W2,...
 10.109E: Let X1, X2, . . . , Xm denote a random sample from the exponential ...
 10.110E: Show that a likelihood ratio test depends on the data only through ...
 10.111E: Suppose that we are interested in testing the simple null hypothesi...
 10.112E: Suppose that independent random samples of sizes n1 and n2 are to b...
 10.113E: Refer to Exercise 10.112. Show that in testing of H0 : ?1 = ?2 vers...
 10.114E: Refer to Exercise 10.113. Suppose that another independent random s...
 10.115SE: True or False.a If the pvalue for a test is .036, the null hypothe...
 10.116SE: Refer to Exercise 10.6. Find power( p), for p = .2, .3, .4, .5, .6,...
 10.117SE: Lord Rayleigh was one of the earliest scientists to study the densi...
 10.118SE: The effect of alcohol consumption on the body appears to be much gr...
 10.119SE: Currently, 20% of potential customers buy soap of brand A. To incre...
 10.120SE: In the past, a chemical plant has produced an average of 1100 pound...
 10.121SE: The braking ability of two types of automobiles was compared. Rando...
 10.122SE: The stability of measurements of the characteristics of a manufactu...
 10.123SE: A pharmaceutical manufacturer purchases a particular material from ...
 10.124SE: The data in the following table give readings in footpounds of the...
 10.125SE: How much combustion efficiency should a homeowner expect from an oi...
 10.126SE:
 10.127SE: A merchant figures her weekly profit to be a function of three vari...
 10.128SE: A reading exam is given to the sixth graders at three large element...
 10.129SE: Suppose that Y1, Y2, . . . , Yn denote a random sample from the pro...
 10.130SE: Refer to Exercise 10.129. Find the likelihood ratio test for testin...
Solutions for Chapter 10: Mathematical Statistics with Applications 7th Edition
Full solutions for Mathematical Statistics with Applications  7th Edition
ISBN: 9780495110811
Solutions for Chapter 10
Get Full SolutionsThis textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7. 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. Chapter 10 includes 130 full stepbystep solutions. Since 130 problems in chapter 10 have been answered, more than 117148 students have viewed full stepbystep solutions from this chapter.

Average
See Arithmetic mean.

Average run length, or ARL
The average number of samples taken in a process monitoring or inspection scheme until the scheme signals that the process is operating at a level different from the level in which it began.

Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.

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

Conidence level
Another term for the conidence coeficient.

Continuous distribution
A probability distribution for a continuous random variable.

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).

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 .

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

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

Design matrix
A matrix that provides the tests that are to be conducted in an experiment.

Discrete distribution
A probability distribution for a discrete random variable

Discrete uniform random variable
A discrete random variable with a inite range and constant probability mass function.

Distribution free method(s)
Any method of inference (hypothesis testing or conidence interval construction) that does not depend on the form of the underlying distribution of the observations. Sometimes called nonparametric method(s).

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

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.

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.

False alarm
A signal from a control chart when no assignable causes are present

Fraction defective control chart
See P chart

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 .