 9.91: In each of the following situations, state whether it is a correctl...
 9.92: A semiconductor manufacturer collects data from a new tool and cond...
 9.93: The standard deviation of critical dimension thickness in semicondu...
 9.94: The mean pulloff force of a connector depends on cure time. (a) St...
 9.95: A textile fiber manufacturer is investigating a new drapery yarn, w...
 9.96: Repeat Exercise 95 using a sample size of n = 16 and the same crit...
 9.97: In Exercise 95, find the boundary of the critical region if the ty...
 9.98: In Exercise 95, calculate the probability of a type II error if th...
 9.99: In Exercise 95, calculate the Pvalue if the observed statistic is...
 9.910: The heat evolved in calories per gram of a cement mixture is approx...
 9.911: Repeat Exercise 910 using a sample size of and the same acceptance...
 9.912: In Exercise 910, find the boundary of the critical region if the t...
 9.913: In Exercise 910, calculate the probability of a type II error if t...
 9.914: In Exercise 910, calculate the Pvalue if the observed statistic i...
 9.915: A consumer products company is formulating a new shampoo and is int...
 9.916: Repeat Exercise 915 assuming that the sample size is n 16 and the ...
 9.917: In Exercise 915, find the boundary of the critical region if the t...
 9.918: In Exercise 915, calculate the probability of a type II error if t...
 9.919: In Exercise 915, calculate the Pvalue if the observed statistic i...
 9.920: A manufacturer is interested in the output voltage of a power suppl...
 9.921: Rework Exercise 920 when the sample size is 16 and the boundaries ...
 9.922: In Exercise 920, find the boundary of the critical region if the t...
 9.923: In Exercise 920, calculate the Pvalue if the observed statistic i...
 9.924: In Exercise 920, calculate the probability of a type II error if t...
 9.925: The proportion of adults living in Tempe, Arizona, who are college ...
 9.926: The proportion of residents in Phoenix favoring the building of tol...
 9.927: A random sample of 500 registered voters in Phoenix is asked if the...
 9.928: If we plot the probability of accepting H0:0 versus various values ...
 9.929: State the null and alternative hypothesis in each case. (a) A hypot...
 9.930: A hypothesis will be used to test that a population mean equals 7 a...
 9.931: A hypothesis will be used to test that a population mean equals 10 ...
 9.932: A hypothesis will be used to test that a population mean equals 5 a...
 9.933: For the hypothesis test against and variance known, calculate the P...
 9.934: For the hypothesis test H0: against and variance known, calculate t...
 9.935: For the hypothesis test H0: against and variance known, calculate t...
 9.936: Output from a software package is given below: OneSample Z: Test o...
 9.937: Output from a software package is given below: OneSample Z: Test o...
 9.938: Output from a software package is given below: OneSample Z: Test o...
 9.939: Output from a software package is given below: OneSample Z: Test o...
 9.940: The mean water temperature downstream from a power plant cooling to...
 9.941: A manufacturer produces crankshafts for an automobile engine. The w...
 9.942: A melting point test of n 10 samples of a binder used in manufactur...
 9.943: The life in hours of a battery is known to be approximately normall...
 9.944: An engineer who is studying the tensile strength of a steel alloy i...
 9.945: Supercavitation is a propulsion technology for undersea vehicles th...
 9.946: A bearing used in an automotive application is supposed to have a n...
 9.947: Medical researchers have developed a new artificial heart construct...
 9.948: A hypothesis will be used to test that a population mean equals 7 a...
 9.949: A hypothesis will be used to test that a population mean equals 10 ...
 9.950: A hypothesis will be used to test that a population mean equals 5 a...
 9.951: For the hypothesis test H0: against H1: with variance unknown and ,...
 9.952: For the hypothesis test H0: against H1: with variance unknown and ,...
 9.953: For the hypothesis test H0: against H1: with variance unknown and ,...
 9.954: Consider the computer output below. OneSample T: Test of mu 91 vs ...
 9.955: Consider the computer output below. OneSample T: Test of mu 12 vs ...
 9.956: Consider the computer output below. OneSample T: Test of mu 34 vs ...
 9.957: An article in Growth: A Journal Devoted to of Normal and Abnormal G...
 9.958: An article in the ASCE Journal of Energy Engineering (1999, Vol. 12...
 9.959: A 1992 article in the Journal of the American Medical Association (...
 9.960: Cloud seeding has been studied for many decades as a weather modifi...
 9.961: The sodium content of twenty 300gram boxes of organic cornflakes w...
 9.962: Consider the baseball coefficient of restitution data first present...
 9.963: Consider the dissolved oxygen concentration at TVA dams first prese...
 9.964: Reconsider the data from Medicine and Science in Sports and Exercis...
 9.965: Reconsider the tire testing experiment described in Exercise 827. ...
 9.966: Reconsider the Izod impact test on PVC pipe described in Exercise 8...
 9.967: Reconsider the television tube brightness experiment in Exercise 8...
 9.968: Exercise 630 gave data on the heights of female engineering studen...
 9.969: Exercise 633 describes testing golf balls for an overall distance ...
 9.970: Exercise 632 presented data on the concentration of suspended soli...
 9.971: Consider the test of What are the critical values for the test stat...
 9.972: Consider the test of What are the critical values for the test stat...
 9.973: Consider the test of What are the critical values for the test stat...
 9.974: Consider the hypothesis test of Approximate the Pvalue for each of...
 9.975: Consider the test of Approximate the Pvalue for each of the follow...
 9.976: Consider the hypothesis test of Approximate the Pvalue for each of...
 9.977: The data from Medicine and Science in Sports and Exercise described...
 9.978: The data from Technometrics described in Exercise 851 considered t...
 9.979: Reconsider the percentage of titanium in an alloy used in aerospace...
 9.980: Data from an Izod impact test was described in Exercise 828. The s...
 9.981: Data for tire life was described in Exercise 827. The sample stand...
 9.982: If the standard deviation of hole diameter exceeds 0.01 millimeters...
 9.983: Recall the sugar content of the syrup in canned peaches from Exerci...
 9.984: Consider the computer output below. Test and Cl for One Proportion ...
 9.985: Consider the computer output below. Test and Cl for One Proportion ...
 9.986: Suppose that 1000 customers are surveyed and 850 are satisfied or v...
 9.987: Suppose that 500 parts are tested in manufacturing and 10 are rejec...
 9.988: A random sample of 300 circuits generated 13 defectives. (a) Use th...
 9.989: An article in the British Medical Journal [Comparison of Treatment ...
 9.990: A manufacturer of interocular lenses is qualifying a new grinding m...
 9.991: A researcher claims that at least 10% of all football helmets have ...
 9.992: An article in Fortune (September 21, 1992) claimed that nearly one...
 9.993: The advertised claim for batteries for cell phones is set at 48 ope...
 9.994: A random sample of 500 registered voters in Phoenix is asked if the...
 9.995: In a random sample of 85 automobile engine crankshaft bearings, 10 ...
 9.996: Consider the following frequency table of observations on the rando...
 9.997: Let X denote the number of flaws observed on a large coil of galvan...
 9.998: The number of calls arriving at a switchboard from noon to 1:00 P.M...
 9.999: Consider the following frequency table of observations on the rando...
 9.9100: Define X as the number of underfilled bottles from a filling operat...
 9.9101: The number of cars passing eastbound through the intersection of Mi...
 9.9102: Reconsider Exercise 671. The data were the number of earthquakes p...
 9.9103: A company operates four machines in three shifts each day. From pro...
 9.9104: Patients in a hospital are classified as surgical or medical. A rec...
 9.9105: Grades in a statistics course and an operations research course tak...
 9.9106: An experiment with artillery shells yields the following data on th...
 9.9107: A study is being made of the failures of an electronic component. T...
 9.9108: A random sample of students is asked their opinions on a proposed c...
 9.9109: An article in the British Medical Journal [Comparison of Treatment ...
 9.9110: Ten samples were taken from a plating bath used in an electronics m...
 9.9111: The titanium content in an aircraftgrade alloy is an important det...
 9.9112: The impurity level (in ppm) is routinely measured in an intermediat...
 9.9113: Consider the margarine fat content data in Exercise 836. Use the s...
 9.9114: Consider the compressive strength data in Exercise 837. (a) Use th...
 9.9115: The diameter of a ball bearing was measured by an inspector using a...
 9.9116: A new type of tip can be used in a Rockwell hardness tester. Eight ...
 9.9117: A primer paint can be used on aluminum panels. The drying time of t...
 9.9118: Consider the computer output below. OneSample Z: Test of mu 26 vs ...
 9.9119: Consider the computer output below. OneSample T: Test of mu 100 vs...
 9.9120: Consider the computer output below. OneSample T: Test of mu 85 vs ...
 9.9121: An article in Transfusion Science [Early Total White Blood Cell Rec...
 9.9122: An article in Fire Technology [An Experimental Examination of Dead ...
 9.9123: Suppose we wish to test the hypothesis H0: 85 versus the alternativ...
 9.9124: A manufacturer of semiconductor devices takes a random sample of si...
 9.9125: Consider the situation of Exercise 9124. After collecting a sample...
 9.9126: An inspector of flow metering devices used to administer fluid intr...
 9.9127: Suppose that in Exercise 9126, the experimenter had believed that ...
 9.9128: The marketers of shampoo products know that customers like their pr...
 9.9129: Suppose we are testing H0: p 0.5 versus H0: p 0.5. Suppose that p i...
 9.9130: The cooling system in a nuclear submarine consists of an assembly o...
 9.9131: The mean pulloff force of an adhesive used in manufacturing a conn...
 9.9132: A manufacturer of precision measuring instruments claims that the s...
 9.9133: A biotechnology company produces a therapeutic drug whose concentra...
 9.9134: Consider the 40 observations collected on the number of nonconformi...
 9.9135: Consider the 20 observations collected on the number of errors in a...
 9.9136: Consider the spot weld shear strength data in Exercise 631. Does t...
 9.9137: Consider the water quality data in Exercise 632. (a) Do these data...
 9.9138: Consider the golf ball overall distance data in Exercise 633. (a) ...
 9.9139: Consider the baseball coefficient of restitution data in Exercise 8...
 9.9140: Consider the dissolved oxygen data in Exercise 894. Water quality ...
 9.9141: An article in Food Testing and Analysis [Improving Reproducibility ...
 9.9142: Consider the computer output below Test and Cl for One Proportion T...
 9.9143: An article in Food Chemistry [A Study of Factors Affecting Extracti...
 9.9144: An article in Biological Trace Element Research [Interaction of Die...
 9.9145: An article in Experimental Brain Research [Synapses in the Granule ...
 9.9146: An article in the Journal of Electronic Material [Progress in CdZnT...
 9.9147: Consider the fatty acid measurements for the diet margarine describ...
 9.9148: Consider the television picture tube brightness experiment describe...
 9.9149: Suppose that we wish to test H0: 0 versus , where the population is...
 9.9150: Derive an expression for for the test on the variance of a normal d...
 9.9151: When X1, X2, p , Xn are independent Poisson random variables, each ...
 9.9152: When X1, X2, p , Xn is a random sample from a normal distribution a...
 9.9153: Let X1, X2, p , Xn be a sample from an exponential distribution wit...
Solutions for Chapter 9: Tests of Hypotheses for a Single Sample
Full solutions for Applied Statistics and Probability for Engineers  5th Edition
ISBN: 9780470053041
Solutions for Chapter 9: Tests of Hypotheses for a Single Sample
Get Full SolutionsSince 153 problems in chapter 9: Tests of Hypotheses for a Single Sample have been answered, more than 24634 students have viewed full stepbystep solutions from this chapter. Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9780470053041. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 9: Tests of Hypotheses for a Single Sample includes 153 full stepbystep solutions. This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers, edition: 5.

2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.

Addition rule
A formula used to determine the probability of the union of two (or more) events from the probabilities of the events and their intersection(s).

Alias
In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.

Attribute
A qualitative characteristic of an item or unit, usually arising in quality control. For example, classifying production units as defective or nondefective results in attributes data.

Categorical data
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.

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 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.

Continuous distribution
A probability distribution for a continuous random variable.

Control chart
A graphical display used to monitor a process. It usually consists of a horizontal center line corresponding to the incontrol value of the parameter that is being monitored and lower and upper control limits. The control limits are determined by statistical criteria and are not arbitrary, nor are they related to speciication limits. If sample points fall within the control limits, the process is said to be incontrol, or free from assignable causes. Points beyond the control limits indicate an outofcontrol process; that is, assignable causes are likely present. This signals the need to ind and remove the assignable causes.

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.

Critical value(s)
The value of a statistic corresponding to a stated signiicance level as determined from the sampling distribution. For example, if PZ z PZ ( )( .) . ? =? = 0 025 . 1 96 0 025, then z0 025 . = 1 9. 6 is the critical value of z at the 0.025 level of signiicance. Crossed factors. Another name for factors that are arranged in a factorial experiment.

Dependent variable
The response variable in regression or a designed experiment.

Distribution function
Another name for a cumulative distribution function.

Exhaustive
A property of a collection of events that indicates that their union equals the sample space.

Expected value
The expected value of a random variable X is its longterm average or mean value. In the continuous case, the expected value of X is E X xf x dx ( ) = ?? ( ) ? ? where f ( ) x is the density function of the random variable X.

F distribution.
The distribution of the random variable deined as the ratio of two independent chisquare random variables, each divided by its number of degrees of freedom.

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