Statistics (13th Edition)
13th Edition
ISBN: 9780134080215
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
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Chapter 5.6, Problem 97UP
To determine
Explain the characteristics of an exponential random variable.
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Consider the state space model X₁ = §Xt−1 + Wt, Yt
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You 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.
Chapter 5 Solutions
Statistics (13th Edition)
Ch. 5.2 - Give a characteristic of a uniform random...Ch. 5.2 - The uniform distribution is sometimes referred to...Ch. 5.2 - Suppose x is a random variable best described by a...Ch. 5.2 - Refer to Exercise 5.3. Find the following...Ch. 5.2 - Suppose x is a random variable best described by a...Ch. 5.2 - Refer to Exercise 5.5. Find the value of a that...Ch. 5.2 - 4.137 The random variable x is best described by a...Ch. 5.2 - The random variable x is best described by a...Ch. 5.2 - Prob. 5.1AECh. 5.2 - Prob. 5.2AE
Ch. 5.2 - Prob. 9ACBCh. 5.2 - 4.175 Requests to a Web server. According to...Ch. 5.2 - 4.142 Detecting anthrax. Researchers at the...Ch. 5.2 - Prob. 12ACBCh. 5.2 - Prob. 13ACBCh. 5.2 - Social network densities. Social networks involve...Ch. 5.2 - Prob. 15ACICh. 5.2 - Prob. 16ACICh. 5.2 - 4.147 Soft-drink dispenser. The manager of a local...Ch. 5.2 - Time delays at a bus stop. A bus is scheduled to...Ch. 5.2 - Prob. 19ACACh. 5.2 - Reliability of a robotic device. The reliability...Ch. 5.3 - Describe the shape of a normal probability...Ch. 5.3 - If x has a normal distribution with mean μ and...Ch. 5.3 - What is the name given to a normal distribution...Ch. 5.3 - Find the area under the standard normal...Ch. 5.3 - Find each of the following probabilities for a...Ch. 5.3 - Find the following probabilities for the standard...Ch. 5.3 - 4.90 Give the z-score for a measurement from a...Ch. 5.3 - Find a value z0 of the standard normal random...Ch. 5.3 - 4.88 Find a value of the standard normal random...Ch. 5.3 - Suppose the random variable x is best described by...Ch. 5.3 - 4.93 Suppose x is a normally distributed random...Ch. 5.3 - Suppose x is a normally distributed random...Ch. 5.3 - Refer to Exercise 5.32. Find x0 such that
10% of...Ch. 5.3 - Suppose x is a normally distributed random...Ch. 5.3 - The random variable x has a normal distribution...Ch. 5.3 - The random variable x has a normal distribution...Ch. 5.3 - Applet Exercise 4.6
Open the applet Sample from a...Ch. 5.3 - Dental anxiety study. To gauge their fear of going...Ch. 5.3 - 4.99 Tomato as a taste modifier. Miraculin—a...Ch. 5.3 - Deep mixing of soil. Deep mixing is a ground...Ch. 5.3 - Prob. 40ACBCh. 5.3 - Shopping vehicle and judgment. Refer to the...Ch. 5.3 - Shell lengths of sea turtles. Refer to the Aquatic...Ch. 5.3 - Prob. 43ACBCh. 5.3 - 4.191 Optimal goal target in soccer. When...Ch. 5.3 - 4.106 Voltage sags and swells. Refer to the...Ch. 5.3 - Prob. 46ACICh. 5.3 - Prob. 47ACICh. 5.3 - 4.199 Rating employee performance. Almost all...Ch. 5.3 - 4.112 California’s electoral college votes. During...Ch. 5.3 - Alcohol, threats, and electric shocks. A group of...Ch. 5.3 - 4.116 Box plots and the standard normal...Ch. 5.3 - Load on frame structures. In the Journal of the...Ch. 5.3 - Executive coaching and meeting effectiveness. Poor...Ch. 5.4 - Why is it important to check whether the sample...Ch. 5.4 - Give four methods for determining whether the...Ch. 5.4 - 4.117 If a population data set is normally...Ch. 5.4 - What is a normal probability plot and how is it...Ch. 5.4 - Prob. 59LMCh. 5.4 - 4.118 Consider a sample data set with the...Ch. 5.4 - Examine the following sample data.
Construct a...Ch. 5.4 - Examine the sample data in the next...Ch. 5.4 - Irrelevant speech effects. Refer to the analysis...Ch. 5.4 - Prob. 64ACBCh. 5.4 - Prob. 65ACBCh. 5.4 - 4.122 Shear strength of rock fractures....Ch. 5.4 - Estimating glacier elevations. Digital elevation...Ch. 5.4 - Prob. 68ACBCh. 5.4 - Prob. 69ACICh. 5.4 - Prob. 71ACICh. 5.4 - Prob. 72ACICh. 5.4 - 4.130 Permeability of sandstone during weathering....Ch. 5.4 - Prob. 74ACICh. 5.4 - Blond hair types in the Southwest Pacific. Refer...Ch. 5.4 - Prob. 76ACACh. 5.5 - For large n (say, n = 100), why is it advantageous...Ch. 5.5 - Prob. 78UPCh. 5.5 - Suppose x is a binomial random variable with p =...Ch. 5.5 - Assume that x is a binomial random variable with n...Ch. 5.5 - Prob. 81LMCh. 5.5 - Prob. 82LMCh. 5.5 - Assume that x is a binomial random variable with n...Ch. 5.5 - 4.103 Blood diamonds. According to Global Research...Ch. 5.5 - Prob. 85ACBCh. 5.5 - Where will you get your next pet? Refer to...Ch. 5.5 - Analysis of bottled water. Refer to the report on...Ch. 5.5 - LASIK surgery complications. According to studies,...Ch. 5.5 - Cesarean birth study. In Exercise 4.73 (p. 212),...Ch. 5.5 - Chemical signals of mice. Refer to the Cell (May...Ch. 5.5 - Prob. 91ACICh. 5.5 - Prob. 92ACICh. 5.5 - Prob. 93ACICh. 5.5 - Body fat in men. The percentage of fat in the...Ch. 5.5 - Prob. 95ACACh. 5.5 - Prob. 96ACACh. 5.6 - What are the characteristics of an exponential...Ch. 5.6 - The exponential distribution is often called the...Ch. 5.6 - Determine the value of e−a/θ for each of the...Ch. 5.6 - 4.135 Suppose x has an exponential distribution...Ch. 5.6 - 4.136 Suppose x has an exponential distribution...Ch. 5.6 - 4.138 The random variable x can be adequately...Ch. 5.6 - Prob. 103LMCh. 5.6 - Prob. 104ACBCh. 5.6 - Prob. 105ACBCh. 5.6 - 4.144 Critical-part failures in NASCAR vehicles....Ch. 5.6 - Prob. 107ACBCh. 5.6 - 4.140 Preventative maintenance tests. The optimal...Ch. 5.6 - Prob. 109ACICh. 5.6 - Prob. 110ACICh. 5.6 - Prob. 111ACICh. 5.6 - Prob. 112ACICh. 5.6 - Prob. 113ACACh. 5.6 - Prob. 114ACACh. 5 - Prob. 115UPCh. 5 - Prob. 116UPCh. 5 - 4.165 Find the following probabilities for the...Ch. 5 - Prob. 118LMCh. 5 - The random variable x has a normal distribution...Ch. 5 - The random variable x has a normal distribution...Ch. 5 - Prob. 121LMCh. 5 - Prob. 122LMCh. 5 - Prob. 123LMCh. 5 - Prob. 124ACBCh. 5 - Prob. 125ACBCh. 5 - Prob. 126ACBCh. 5 - Prob. 127ACBCh. 5 - Prob. 128ACBCh. 5 - Prob. 129ACBCh. 5 - Prob. 130ACBCh. 5 - Prob. 131ACBCh. 5 - Where will you get your next pet? Refer to...Ch. 5 - Prob. 133ACBCh. 5 - Prob. 134ACBCh. 5 - Prob. 135ACBCh. 5 - Prob. 136ACICh. 5 - Visually impaired students. The Journal of Visual...Ch. 5 - Prob. 138ACICh. 5 - Prob. 139ACICh. 5 - Prob. 140ACICh. 5 - Galaxy velocity study. Recall The Astronomical...Ch. 5 - Prob. 142ACICh. 5 - Prob. 143ACICh. 5 - Prob. 144ACICh. 5 - 4.126 Wear-out of used display panels. Wear-out...Ch. 5 - Prob. 146ACICh. 5 - Forest development following wildfires. Ecological...Ch. 5 - Prob. 148ACICh. 5 - Prob. 149ACICh. 5 - Prob. 150ACICh. 5 - Prob. 151ACICh. 5 - 4.152 Reliability of CO-ROMs. In Reliability Ques...Ch. 5 - Prob. 153ACACh. 5 - Prob. 154ACACh. 5 - Prob. 155ACACh. 5 - Prob. 156CTCCh. 5 - Prob. 157CTC
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- 2. [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_forward1. [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_forward3. Explain why the following statements are not correct. a. "With my methodological approach, I can reduce the Type I error with the given sample information without changing the Type II error." b. "I have already decided how much of the Type I error I am going to allow. A bigger sample will not change either the Type I or Type II error." C. "I can reduce the Type II error by making it difficult to reject the null hypothesis." d. "By making it easy to reject the null hypothesis, I am reducing the Type I error."arrow_forwardGiven the following sample data values: 7, 12, 15, 9, 15, 13, 12, 10, 18,12 Find the following: a) Σ x= b) x² = c) x = n d) Median = e) Midrange x = (Enter a whole number) (Enter a whole number) (use one decimal place accuracy) (use one decimal place accuracy) (use one decimal place accuracy) f) the range= g) the variance, s² (Enter a whole number) f) Standard Deviation, s = (use one decimal place accuracy) Use the formula s² ·Σx² -(x)² n(n-1) nΣ x²-(x)² 2 Use the formula s = n(n-1) (use one decimal place accuracy)arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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