 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
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2 k p  factorial experiment
A fractional factorial experiment with k factors tested in a 2 ? p fraction with all factors tested at only two levels (settings) each

`error (or `risk)
In hypothesis testing, an error incurred by rejecting a null hypothesis when it is actually true (also called a type I error).

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

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

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

Causeandeffect diagram
A chart used to organize the various potential causes of a problem. Also called a ishbone diagram.

Central limit theorem
The simplest form of the central limit theorem states that the sum of n independently distributed random variables will tend to be normally distributed as n becomes large. It is a necessary and suficient condition that none of the variances of the individual random variables are large in comparison to their sum. There are more general forms of the central theorem that allow ininite variances and correlated random variables, and there is a multivariate version of the theorem.

Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.

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

Consistent estimator
An estimator that converges in probability to the true value of the estimated parameter as the sample size increases.

Continuous distribution
A probability distribution for a continuous random variable.

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

Designed experiment
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment

Discrete distribution
A probability distribution for a discrete random variable

Dispersion
The amount of variability exhibited by data

Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.

Error sum of squares
In analysis of variance, this is the portion of total variability that is due to the random component in the data. It is usually based on replication of observations at certain treatment combinations in the experiment. It is sometimes called the residual sum of squares, although this is really a better term to use only when the sum of squares is based on the remnants of a modelitting process and not on replication.

Error variance
The variance of an error term or component in a model.

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.

Generating function
A function that is used to determine properties of the probability distribution of a random variable. See Momentgenerating function