 11.11.1: Under hypothesis Ho , tlie interarrival tirnes between phone calls ...
 11.11.2: In an optical cornrr1unicatior1s system, the p11otodetector Ol1 tpl...
 11.11.3: For the QPSK corr1rr1unications S}rstern of Exarr1ple 11.13, what i...
 11.11.4: For the corr1rnl1nications S}rstem of Exarr1ple 11.14 vvith square...
 11.11.5: Let L equal the n11mber of flips of a coin up to and including the ...
 11.11.6: A course has t\vo recitation sections that meet at different times....
 11.11.7: Under the null hypothesis Ho that traffic is typical, the number of...
 11.11.8: A cellular telephone company is upgrading its network to a ne\v ( 1...
 11.11.9: \l\lhen a pacemaker factory is operating normally (the null hypothe...
 11.11.10: Let J{ be the number of heads in n, = 100 flips of a coin. Devise s...
 11.11.11: \!\Then a chip fabrication facility is operating no1mally, the life...
 11.11.12: A group of rL people form a football pool. The rules of this pool a...
 11.11.13: A class has 2n, (a large number) students The students are separate...
 11.11.14: In a random hour, the number of call attempts N at a telephone swit...
 11.11.15: The ping time, in milliseconds of a ne\v transmission system, descr...
 11.11.16: An automatic doorbell system rings a bell 'vhenever it detects some...
 11.11.17: In the radar system of Example 11.4, P[H 1] = 0.01. In t he case of...
 11.11.18: In the radar system of Example 11.4, show that the ROC in Figure 11...
 11.11.19: _A. system administrator (and parttime spy) at a classified researc...
 11.11.20: T he ping time, in milliseconds, of a ne'v transmission system, des...
 11.11.21: In t his proble1n, 've perform t he old/ new detection test of 11.2...
 11.11.22: A binary communication system has t ransmitted sign al X, t he Bern...
 11.11.23: In a BPSK amplifyandfor,vard relay system, a source transmits a r...
 11.11.24: In a BPSK communication system, a source wishes to communicate a ra...
 11.11.25: Suppose in the disk drive factory of Example 11.8, \Ve can observe ...
 11.11.26: Consider a binary hypothesis test in 'vhich there is a cost associa...
 11.11.27: In a ternary amplitude shift keying (ASK) communications system, th...
 11.11.28: A multilevel QPSK communications system trans mi ts three bits ever...
 11.11.29: An M ary quadrature amplitude modulation (Qi\.11[) communications ...
 11.11.30: Suppose a user of the multilevel QPSK system needs to decode only t...
 11.11.31: T he QPSK system of Example 11.13 can be generalized to an M ary p...
 11.11.32: A modem uses QAM (see 11.3.3) to transmit one of 16 symbols, s0 , ....
 11.11.33: For the QPSK communications system of Example 11.13, identify the a...
 11.11.34: In a code division multiple access (CDMA) communications system, k ...
 11.11.35: For the CDMA communications system of Pro bl em 11. 3. 8, a detecti...
 11.11.36: A wireless pressure sensor (buried in the ground) reports a discret...
 11.11.37: For the binary communications system of Example 11.7, graph the err...
 11.11.38: For the squared distortion communications system of Example 11.14 w...
 11.11.39: A poisonous gas sensor reports continuous random variable X. In the...
 11.11.40: Simulate the M ary PSK system in 11.3.5 for JV!= 8 and M = 16. Let...
 11.11.41: In this problem, we evaluate the bit error rate (BER) performance o...
 11.11.42: For the CD~IIA system in 11.3.8, \Ve wish to use l\/IATLAB to evalu...
 11.11.43: Simulate the multilevel Qi\.M system of 11.3.4. Estimate the proba...
 11.11.44: In 11.4.5, \Ve used simulation to estimate the probability of symbo...
 11.11.45: Continuing 11.4.9, in the mapping of the bit sequence b2b1bo to the...
Solutions for Chapter 11: Hypothesis Testing
Full solutions for Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers  3rd Edition
ISBN: 9781118324561
Solutions for Chapter 11: Hypothesis Testing
Get Full SolutionsChapter 11: Hypothesis Testing includes 45 full stepbystep solutions. This textbook survival guide was created for the textbook: Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers, edition: 3. Since 45 problems in chapter 11: Hypothesis Testing have been answered, more than 11077 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers was written by and is associated to the ISBN: 9781118324561.

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

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

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

Bivariate distribution
The joint probability distribution of two random variables.

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

Chisquare (or chisquared) random variable
A continuous random variable that results from the sum of squares of independent standard normal random variables. It is a special case of a gamma random variable.

Chisquare test
Any test of signiicance based on the chisquare distribution. The most common chisquare tests are (1) testing hypotheses about the variance or standard deviation of a normal distribution and (2) testing goodness of it of a theoretical distribution to sample data

Combination.
A subset selected without replacement from a set used to determine the number of outcomes in events and sample spaces.

Conditional probability distribution
The distribution of a random variable given that the random experiment produces an outcome in an event. The given event might specify values for one or more other random variables

Conidence level
Another term for the conidence coeficient.

Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.

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.

Covariance matrix
A square matrix that contains the variances and covariances among a set of random variables, say, X1 , X X 2 k , , … . The main diagonal elements of the matrix are the variances of the random variables and the offdiagonal elements are the covariances between Xi and Xj . Also called the variancecovariance matrix. When the random variables are standardized to have unit variances, the covariance matrix becomes the correlation matrix.

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.

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

Event
A subset of a sample space.

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

Gaussian distribution
Another name for the normal distribution, based on the strong connection of Karl F. Gauss to the normal distribution; often used in physics and electrical engineering applications

Geometric mean.
The geometric mean of a set of n positive data values is the nth root of the product of the data values; that is, g x i n i n = ( ) = / w 1 1 .

Hat matrix.
In multiple regression, the matrix H XXX X = ( ) ? ? 1 . This a projection matrix that maps the vector of observed response values into a vector of itted values by yˆ = = X X X X y Hy ( ) ? ? ?1 .