Statistics (13th Edition)
13th Edition
ISBN: 9780134080215
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
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Chapter 4, Problem 135LM
a.
To determine
b.
To determine
c.
To determine
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The following relates to Problems 4 and 5.
Christchurch, New Zealand experienced a major earthquake on February 22, 2011. It destroyed 100,000
homes. Data were collected on a sample of 300 damaged homes. These data are saved in the file called
CIEG315 Homework 4 data.xlsx, which is available on Canvas under Files. A subset of the data is
shown in the accompanying table. Two of the variables are qualitative in nature: Wall construction and
roof construction. Two of the variables are quantitative: (1) Peak ground acceleration (PGA), a measure
of the intensity of ground shaking that the home experienced in the earthquake (in units of acceleration of
gravity, g); (2) Damage, which indicates the amount of damage experienced in the earthquake in New
Zealand dollars; and (3) Building value, the pre-earthquake value of the home in New Zealand dollars.
PGA (g) Damage (NZ$) Building Value (NZ$) Wall Construction Roof Construction
Property ID
1
0.645
2
0.101
141,416
2,826
253,000
B
305,000
B
T
3…
Rose Par posted Apr 5, 2025 9:01 PM
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To: Store Owner
From: Rose Par, Manager
Subject: Decision About Selling Custom Flower Bouquets
Date: April 5, 2025
Our shop, which prides itself on selling handmade gifts and cultural items, has
recently received inquiries from customers about the availability of fresh flower
bouquets for special occasions. This has prompted me to consider whether we
should introduce custom flower bouquets in our shop. We need to decide
whether to start offering this new product. There are three options: provide a
complete selection of custom bouquets for events like birthdays and
anniversaries, start small with just a few ready-made flower arrangements, or do
not add flowers.
There are also three possible outcomes. First, we might see high demand, and the
bouquets could sell quickly. Second, we might have medium demand, with a few
sold each week. Third, there might be low demand, and the flowers may not sell
well, possibly going to waste. These outcomes…
Consider the state space model X₁ = §Xt−1 + Wt, Yt
=
AX+Vt, where Xt
Є R4
and Y E R². Suppose we know the covariance matrices for Wt and Vt. How many
unknown parameters are there in the model?
Chapter 4 Solutions
Statistics (13th Edition)
Ch. 4.1 - What is a random variable?
Ch. 4.1 - How do discrete and continuous random variables...Ch. 4.1 - Type of Random Variable. Classify the following...Ch. 4.1 - Type of Random Variable. Identify the following...Ch. 4.1 - Type of Random Variable. Identify the following...Ch. 4.1 - 4.3 NHTSA crash tests. Refer to the National...Ch. 4.1 - 4.4 Customers in line at a Subway shop. The number...Ch. 4.1 - Sound waves from a basketball. Refer to the...Ch. 4.1 - Mongolian desert ants. Refer to the Journal of...Ch. 4.1 - Motivation of drug dealers. Refer to the Applied...
Ch. 4.1 - Psychology. Give an example of a discrete random...Ch. 4.1 - Sociology. Give an example of a discrete random...Ch. 4.1 - Nursing. Give an example of a discrete random...Ch. 4.1 - Art history. Give an example of a discrete random...Ch. 4.1 - Irrelevant speech effects. Refer to the Acoustical...Ch. 4.1 - Shaft graves in ancient Greece. Refer to the...Ch. 4.2 - Give three different ways of representing the...Ch. 4.2 - Consider the following probability...Ch. 4.2 - 4.11 A discrete random variable x can assume five...Ch. 4.2 - Explain why each of the following is or is not a...Ch. 4.2 - The random variable x has the following discrete...Ch. 4.2 - The random variable x has the discrete probability...Ch. 4.2 - 4.16 Toss three fair coins and let x equal the...Ch. 4.2 - Use the applet entitled Random Numbers to generate...Ch. 4.2 - Run the applet entitled Simulating the Probability...Ch. 4.2 - Size of TV households. According to Nielsen’s...Ch. 4.2 - 4.25 Do social robots walk or roll? Refer to the...Ch. 4.2 - NHTSA crash tests. Refer to the National Highway...Ch. 4.2 - Downloading apps to your cell phone. According to...Ch. 4.2 - Controlling the water hyacinth. An insect that...Ch. 4.2 - Gender in two-child families. Human Biology (Feb....Ch. 4.2 - Environmental vulnerability of amphibians. Many...Ch. 4.2 - The “last name” effect in purchasing. The Journal...Ch. 4.2 - Solar energy cells. According to the Earth Policy...Ch. 4.2 - 4.29 Contaminated gun cartridges. A weapons...Ch. 4.2 - Prob. 34ACICh. 4.2 - Prob. 35ACICh. 4.2 - Reliability of a manufacturing network. A team of...Ch. 4.2 - 4.38 Voter preferences for a committee. A...Ch. 4.2 - Prob. 38ACACh. 4.2 - Robot-sensor system configuration. Engineers at...Ch. 4.3 - What does the expected value of a random variable...Ch. 4.3 - Will E(x) always be equal to a specific value of...Ch. 4.3 - For a mound-shaped, symmetric distribution, what...Ch. 4.3 - Consider the probability distribution for the...Ch. 4.3 - 4.18 Consider the probability distribution for the...Ch. 4.3 - Consider the probability distributions shown...Ch. 4.3 - 4.17 Consider the probability distribution...Ch. 4.3 - NHTSA car crash tests. Refer to Exercise 4.26 (p....Ch. 4.3 - Downloading apps to your cell phone. Refer to the...Ch. 4.3 - Controlling the water hyacinth. Refer to the...Ch. 4.3 - Gender in two-child families. Refer to the Human...Ch. 4.3 - Environmental vulnerability of amphibians. Refer...Ch. 4.3 - Reliability of a manufacturing network. Refer to...Ch. 4.3 -
Beach erosional hot spots. Refer to the U.S....Ch. 4.3 - 4.36 Expected Lotto winnings. Most states offer...Ch. 4.3 -
Expected winnings in roulette. In the popular...Ch. 4.3 - 4.39 Parlay card betting. Odds makers try to...Ch. 4.4 - Give the five characteristics of a binomial random...Ch. 4.4 - Give the formula for p(x) for a binomial random...Ch. 4.4 - Consider the following binomial probability...Ch. 4.4 - Refer to Exercise 4.59.
Graph the probability...Ch. 4.4 - 4.40 Compute the following:
Ch. 4.4 - 4.42 Suppose x is a binomial random variable with...Ch. 4.4 - 4.43 If x is a binomial random variable, compute p...Ch. 4.4 - If x is a binomial random variable, use Table I in...Ch. 4.4 - If x is a binomial random variable, use Table I in...Ch. 4.4 - 4.45 If x is a binomial random variable, calculate...Ch. 4.4 - 4.46 The binomial probability distribution is a...Ch. 4.4 - Applet Exercise 4.3
Use the applets Simulating the...Ch. 4.4 - Applet Exercise 4.4
Open the applet Sample from a...Ch. 4.4 - Prob. 4.5AECh. 4.4 - Working on summer vacation. An Adweek/Harris (July...Ch. 4.4 - Superstitions survey. Are Americans superstitious?...Ch. 4.4 - Where will you get your next pet? According to an...Ch. 4.4 - Chemical signals of mice. Refer to the Cell (May...Ch. 4.4 - Analysis of bottled water. Is the bottled water...Ch. 4.4 - Caesarian births. The American College of...Ch. 4.4 - 4.53 Fingerprint expertise. Refer to the...Ch. 4.4 - Hotel guest satisfaction. J. D. Power and...Ch. 4.4 - 4.52 Immediate feedback to incorrect exam answers....Ch. 4.4 - 4.54 Making your vote count. Refer to the Chance...Ch. 4.4 - Prob. 78ACICh. 4.4 - Victims of domestic abuse. According to...Ch. 4.4 - Prob. 80ACICh. 4.4 - Testing a psychic’s ESP. Refer to Exercise 3.101...Ch. 4.4 - Assigning a passing grade. A literature professor...Ch. 4.4 - Prob. 83ACACh. 4.4 - Does having boys run in the family? Chance (Fall...Ch. 4.5 - Give the four characteristics of a Poisson random...Ch. 4.5 - Consider a Poisson random variable with...Ch. 4.5 - Consider the Poisson probability distribution...Ch. 4.5 - Refer to Exercise 4.86.
Graph the probability...Ch. 4.5 - Refer to Exercise 4.87.
Graph the probability...Ch. 4.5 - 4.65 Given that x is a random variable for which a...Ch. 4.5 - Assume that x is a random variable having a...Ch. 4.5 - Suppose x is a random variable for which a Poisson...Ch. 4.5 - Suppose x is a random variable for which a Poisson...Ch. 4.5 - As mentioned in this section, when n is large, p...Ch. 4.5 - Eye fixation experiment. Cognitive scientists at...Ch. 4.5 - Noise in laser imaging. Penumbrol imaging is a...Ch. 4.5 - Spare line replacement units. The U.S. Department...Ch. 4.5 - 4.176 NASA and rare planet transits. A “planet...Ch. 4.5 - 4.71 Airline fatalities. Over the past 5 years,...Ch. 4.5 - 4.76 Traffic fatalities and sporting events. The...Ch. 4.5 - LAN videoconferencing. A network administrator is...Ch. 4.5 - 4.80 Making high-stakes insurance decisions. The...Ch. 4.5 - Davy Crockett’s use of words. Davy Crockett, a...Ch. 4.5 - 4.79 Flaws in plastic-coated wire. The British...Ch. 4.5 - 4.82 Waiting for a car wash. An automatic car wash...Ch. 4.5 - 4.83 Elevator passenger arrivals. A study of the...Ch. 4.6 - Explain the difference between sampling with...Ch. 4.6 - Give the characteristics of a hypergeometric...Ch. 4.6 - How do binomial and hypergeometric random...Ch. 4.6 - 4.64 Given that x is a hypergeometric random...Ch. 4.6 - 4.63 Given that x is a hypergeometric random...Ch. 4.6 - Prob. 112LMCh. 4.6 - Prob. 113LMCh. 4.6 - 4.68 Given that x is a hypergeometric random...Ch. 4.6 - 4.67 Suppose you plan to sample 10 items from a...Ch. 4.6 - 4.69 Do social robots walk or roll? Refer to the...Ch. 4.6 - Mail rooms contaminated with anthrax. In Chance...Ch. 4.6 - Prob. 118ACBCh. 4.6 - 4.183 On-site treatment of hazardous waste. The...Ch. 4.6 - 4.78 Guilt in decision making. The Journal of...Ch. 4.6 - 4.73 Contaminated gun cartridges. Refer to the...Ch. 4.6 - Lot inspection sampling. Imagine that you are...Ch. 4.6 - Prob. 123ACICh. 4.6 - Prob. 124ACICh. 4.6 - Establishing boundaries in academic engineering....Ch. 4.6 - Prob. 126ACACh. 4.6 - Awarding of home improvement grants. The...Ch. 4 - Prob. 128UPCh. 4 - 4.161 Identify the type of random...Ch. 4 - 4.156 For each of the following examples, decide...Ch. 4 - Prob. 131LMCh. 4 - Prob. 132LMCh. 4 - Prob. 133LMCh. 4 - Prob. 134LMCh. 4 - Prob. 135LMCh. 4 - Prob. 136ACBCh. 4 - Prob. 137ACBCh. 4 - Prob. 138ACBCh. 4 - Prob. 139ACBCh. 4 - Prob. 140ACBCh. 4 - Prob. 141ACBCh. 4 - Prob. 142ACBCh. 4 - Prob. 143ACBCh. 4 - Prob. 144ACBCh. 4 - Prob. 145ACBCh. 4 - Prob. 146ACICh. 4 - Extinct New Zealand birds. Refer to the...Ch. 4 - Student gambling on sports. A study of gambling...Ch. 4 - Parents’ behavior at a gym meet. Pediatric...Ch. 4 - 4.196 Testing for spoiled wine. Suppose that you...Ch. 4 - Prob. 151ACICh. 4 - Prob. 152ACICh. 4 - Chickens with fecal contamination. The United...Ch. 4 - Crime Watch neighborhood. In many cities,...Ch. 4 - 4.203 The showcase showdown. On the popular...Ch. 4 - 4.60 Network forensic analysis. A network forensic...Ch. 4 - 4.201 How many questionnaires to mail? The...Ch. 4 - 4.204 Reliability of a “one-shot” device. A...Ch. 4 - Emergency room bed availability. The mean number...Ch. 4 - Prob. 160CTC
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- Business Discussarrow_forwardYou want to obtain a sample to estimate the proportion of a population that possess a particular genetic marker. Based on previous evidence, you believe approximately p∗=11% of the population have the genetic marker. You would like to be 90% confident that your estimate is within 0.5% of the true population proportion. How large of a sample size is required?n = (Wrong: 10,603) Do not round mid-calculation. However, you may use a critical value accurate to three decimal places.arrow_forward2. [20] Let {X1,..., Xn} be a random sample from Ber(p), where p = (0, 1). Consider two estimators of the parameter p: 1 p=X_and_p= n+2 (x+1). For each of p and p, find the bias and MSE.arrow_forward
- 1. [20] The joint PDF of RVs X and Y is given by xe-(z+y), r>0, y > 0, fx,y(x, y) = 0, otherwise. (a) Find P(0X≤1, 1arrow_forward4. [20] Let {X1,..., X} be a random sample from a continuous distribution with PDF f(x; 0) = { Axe 5 0, x > 0, otherwise. where > 0 is an unknown parameter. Let {x1,...,xn} be an observed sample. (a) Find the value of c in the PDF. (b) Find the likelihood function of 0. (c) Find the MLE, Ô, of 0. (d) Find the bias and MSE of 0.arrow_forward3. [20] Let {X1,..., Xn} be a random sample from a binomial distribution Bin(30, p), where p (0, 1) is unknown. Let {x1,...,xn} be an observed sample. (a) Find the likelihood function of p. (b) Find the MLE, p, of p. (c) Find the bias and MSE of p.arrow_forwardGiven the sample space: ΩΞ = {a,b,c,d,e,f} and events: {a,b,e,f} A = {a, b, c, d}, B = {c, d, e, f}, and C = {a, b, e, f} For parts a-c: determine the outcomes in each of the provided sets. Use proper set notation. a. (ACB) C (AN (BUC) C) U (AN (BUC)) AC UBC UCC b. C. d. If the outcomes in 2 are equally likely, calculate P(AN BNC).arrow_forwardSuppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed. Click here to view the table of critical values for normal probability plots. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. 0.191 0.186 0.201 0.2005 0.203 0.210 0.234 0.248 0.260 0.273 0.281 0.290 0.305 0.310 0.308 0.311 Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed? Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) ○ A. Yes. The correlation between the expected z-scores and the observed data, , exceeds the critical value, . Therefore, it is reasonable to conclude that the data come from a normal population. ○…arrow_forwardding question ypothesis at a=0.01 and at a = 37. Consider the following hypotheses: 20 Ho: μ=12 HA: μ12 Find the p-value for this hypothesis test based on the following sample information. a. x=11; s= 3.2; n = 36 b. x = 13; s=3.2; n = 36 C. c. d. x = 11; s= 2.8; n=36 x = 11; s= 2.8; n = 49arrow_forward13. A pharmaceutical company has developed a new drug for depression. There is a concern, however, that the drug also raises the blood pressure of its users. A researcher wants to conduct a test to validate this claim. Would the manager of the pharmaceutical company be more concerned about a Type I error or a Type II error? Explain.arrow_forwardFind the z score that corresponds to the given area 30% below z.arrow_forwardFind the following probability P(z<-.24)arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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