 5.5.1: Number of apps on an iOS device. AppsFire is a service that shares ...
 5.5.2: Find the mean and the standard deviation of the sampling distributi...
 5.5.3: The effect of increasing the sample size. In the setting of the pre...
 5.5.4: Use the 689599.7 rule. You take an SRS of size 49 from a population...
 5.5.5: The effect of increasing the sample size. In the setting of Exercis...
 5.5.6: Use the Central Limit Theorem applet. Lets consider the uniform dis...
 5.5.7: Use the Central Limit Theorem applet again. Refer to the previous e...
 5.5.8: Find a probability. Refer to Example 5.8. Find the probability that...
 5.5.9: What is wrong? Explain what is wrong in each of the following state...
 5.5.10: What is wrong? Explain what is wrong in each of the following state...
 5.5.11: Generating a sampling distribution. Lets illustrate the idea of a s...
 5.5.12: Number of apps on a Smartphone. At a recent Appnation conference, N...
 5.5.13: Why the difference? Refer to the previous exercise. In Exercise 5.1...
 5.5.14: Total sleep time of college students. In Example 5.1, the total sle...
 5.5.15: Determining sample size. Refer to the previous exercise. Now you wa...
 5.5.16: File size on a tablet PC. A tablet PC contains 8152 music and video...
 5.5.17: Bottling an energy drink. A bottling company uses a filling machine...
 5.5.18: (b) Sketch the approximate Normal curve for the sample mean, making...
 5.5.19: Can volumes. Averages are less variable than individual observation...
 5.5.20: Number of friends on Facebook. Facebook recently examined all activ...
 5.5.21: Cholesterol levels of teenagers. A study of the health of teenagers...
 5.5.22: ACT scores of high school seniors. The scores of your states high s...
 5.5.23: Monitoring the emerald ash borer. The emerald ash borer is a beetle...
 5.5.24: Grades in a math course. Indiana University posts the grade distrib...
 5.5.25: Diabetes during pregnancy. Sheilas doctor is concerned that she may...
 5.5.26: A roulette payoff. A $1 bet on a single number on a casinos roulett...
 5.5.27: Defining a high glucose reading. In Exercise 5.25, Sheilas measured...
 5.5.28: Risks and insurance. The idea of insurance is that we all face risk...
 5.5.29: Weights of airline passengers. In response to the increasing weight...
 5.5.30: Weights of airline passengers. In response to the increasing weight...
 5.5.31: Trustworthiness and eye color, continued. Refer to the previous exe...
 5.5.32: Iron depletion without anemia and physical performance. Several stu...
 5.5.33: Treatment and control groups. The previous exercise illustrates a c...
 5.5.34: Investments in two funds. Jennifer invests her money in a portfolio...
 5.5.35: Sexual harassment in middle school and high school. A survey of 196...
 5.5.36: Seniors who have taken a statistics course. In a random sample of 3...
 5.5.37: Use of the Internet to find a place to live. A poll of 1500 college...
 5.5.38: Genetics and blood types. Genetics says that children receive genes...
 5.5.39: Toss a coin. Toss a fair coin 10 times. Give the distribution of X,...
 5.5.40: Freethrow shooting. Courtney is a basketball player who makes 90% ...
 5.5.41: Find the probabilities. (a) Suppose that X has the B16, 0.42 distri...
 5.5.42: Find the mean and the standard deviation. If we toss a fair coin 20...
 5.5.43: Use the Normal approximation. Suppose that we toss a fair coin 200 ...
 5.5.44: An unfair coin. A coin is slightly bent, and as a result the probab...
 5.5.45: Number of aphids. The milkweed aphid is a common pest to many ornam...
 5.5.46: Number of aphids, continued. Refer to the previous exercise. (a) Wh...
 5.5.47: What is wrong? Explain what is wrong in each of the following scena...
 5.5.48: What is wrong? Explain what is wrong in each of the following scena...
 5.5.49: Should you use the binomial distribution? In each of the following ...
 5.5.50: Should you use the binomial distribution? In each of the following ...
 5.5.51: Stealing from a store. A survey of over 20,000 U.S. high school stu...
 5.5.52: Paying for music downloads. A survey of Canadian teens aged 12 to 1...
 5.5.53: Stealing from a store, continued. Refer to Exercise 5.51. (a) What ...
 5.5.54: Paying for music downloads, continued. Refer to Exercise 5.52. Supp...
 5.5.55: More on paying for music downloads. Consider the settings of Exerci...
 5.5.56: Attitudes toward drinking and studies of behavior. Some of the meth...
 5.5.57: Random digits. Each entry in a table of random digits like Table B ...
 5.5.58: Use the Probability applet. The Probability applet simulates tosses...
 5.5.59: Illegal file sharing. Would you stop illegal file sharing if you re...
 5.5.60: The ideal number of children. What do you think is the ideal number...
 5.5.61: Illegal file sharing, continued. Refer to Exercise 5.59. Roughly 30...
 5.5.62: How do the results depend on the sample size? Return to the Gallup ...
 5.5.63: Shooting free throws. Since the mid1960s, the overall freethrow p...
 5.5.64: Shooting free throws. Since the mid1960s, the overall freethrow p...
 5.5.65: Binge drinking among women. The Centers for Disease Control and Pre...
 5.5.66: How large a sample is needed? The changing probabilities you found ...
 5.5.67: A test for ESP. In a test for ESP (extrasensory perception), the ex...
 5.5.68: Admitting students to college. A selective college would like to ha...
 5.5.69: (d) The researcher considers evidence of ESP to be a proportion of ...
 5.5.70: Show that these facts are true. Use the definition of binomial coef...
 5.5.71: Multiplechoice tests. Here is a simple probability model for multi...
 5.5.72: Tossing a die. You are tossing a balanced die that has probability ...
 5.5.73: The geometric distribution. Generalize your work in Exercise 5.72. ...
 5.5.74: Number of colonyforming units. In microbiology, colonyforming uni...
 5.5.75: Number of colonyforming units. In microbiology, colonyforming uni...
 5.5.76: The cost of Internet access. In Canada, households spent an average...
 5.5.77: Dust in coal mines. A laboratory weighs filters from a coal mine to...
 5.5.78: The effect of sample size on the standard deviation. Assume that th...
 5.5.79: Marks per round in cricket. Cricket is a dart game that uses the nu...
 5.5.80: Common last names. The U.S. Census Bureau says that the 10 most com...
 5.5.81: Benfords law. It is a striking fact that the first digits of number...
 5.5.82: Genetics of peas. According to genetic theory, the blossom color in...
 5.5.83: The weight of a dozen eggs. The weight of the eggs produced by a ce...
 5.5.84: (b) What is the probability that a cap will break while being faste...
 5.5.85: A roulette payoff revisited. Refer to Exercise 5.26 (page 319). In ...
 5.5.86: Learning a foreign language. Does delaying oral practice hinder lea...
 5.5.87: Summer employment of college students. Suppose (as is roughly true)...
 5.5.88: Income of working couples. A study of working couples measures the ...
 5.5.89: A random walk. A particle moves along the line in a random walk. Th...
 5.5.90: A random walk. A particle moves along the line in a random walk. Th...
Solutions for Chapter 5: Sampling Distributions
Full solutions for Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card  8th Edition
ISBN: 9781464158933
Solutions for Chapter 5: Sampling Distributions
Get Full SolutionsThis textbook survival guide was created for the textbook: Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card, edition: 8. Chapter 5: Sampling Distributions includes 90 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card was written by and is associated to the ISBN: 9781464158933. Since 90 problems in chapter 5: Sampling Distributions have been answered, more than 31476 students have viewed full stepbystep solutions from this chapter.

Arithmetic mean
The arithmetic mean of a set of numbers x1 , x2 ,…, xn is their sum divided by the number of observations, or ( / )1 1 n xi t n ? = . The arithmetic mean is usually denoted by x , and is often called the average

Assignable cause
The portion of the variability in a set of observations that can be traced to speciic causes, such as operators, materials, or equipment. Also called a special cause.

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.

Biased estimator
Unbiased estimator.

Bivariate distribution
The joint probability distribution of two random variables.

Central tendency
The tendency of data to cluster around some value. Central tendency is usually expressed by a measure of location such as the mean, median, or mode.

Coeficient of determination
See R 2 .

Components of variance
The individual components of the total variance that are attributable to speciic sources. This usually refers to the individual variance components arising from a random or mixed model analysis of variance.

Continuous distribution
A probability distribution for a continuous random variable.

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.

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

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

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

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

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.

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

Exponential random variable
A series of tests in which changes are made to the system under study

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

Goodness of fit
In general, the agreement of a set of observed values and a set of theoretical values that depend on some hypothesis. The term is often used in itting a theoretical distribution to a set of observations.