UNDERSTANDING BASIC STATISTICS (LOOSE)
8th Edition
ISBN: 9781337558198
Author: BRASE
Publisher: CENGAGE L
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Chapter 6, Problem 2UTA
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Consider the state space model X₁ = §Xt−1 + Wt, Yt
=
AX+Vt, where Xt
Є R4
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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 6 Solutions
UNDERSTANDING BASIC STATISTICS (LOOSE)
Ch. 6.1 - Statistical Literacy Which of the following are...Ch. 6.1 - Statistical Literacy Which of the following are...Ch. 6.1 - Statistical Literacy Consider each distribution....Ch. 6.1 - Statistical Literacy At State College all classes...Ch. 6.1 - Statistical Literacy Consider two discrete...Ch. 6.1 - Statistical Literacy Consider the probability...Ch. 6.1 - Basic Computation: Expected Value and Standard...Ch. 6.1 - Basic Computation: Expected Value For a...Ch. 6.1 - Critical Thinking: Simulation We can use the...Ch. 6.1 - Marketing: Age What is the age distribution of...
Ch. 6.1 - Marketing: Income What is the income distribution...Ch. 6.1 - History: Florence Nightingale What was the age...Ch. 6.1 - Fishing: Trout The following data are based on...Ch. 6.1 - Criminal Justice: Parole USA Today reported that...Ch. 6.1 - Fundraiser: Hiking Club The college hiking club is...Ch. 6.1 - Spring Break: Caribbean Cruise The college student...Ch. 6.1 - Expected Value: Life Insurance Jim is a...Ch. 6.1 - Expected Value: Life Insurance Sara is a...Ch. 6.1 - Expand Your Knowledge: Linear Functions and...Ch. 6.1 - Expand Your Knowledge: Linear Functions and...Ch. 6.1 - Expand Your Knowledge: Linear Functions and...Ch. 6.2 - Statistical Literacy What does the random variable...Ch. 6.2 - Statistical Literacy What does it mean to say that...Ch. 6.2 - Statistical Literacy For a binomial experiment,...Ch. 6.2 - Statistical Literacy In a binomial experiment, is...Ch. 6.2 - Interpretation Suppose you are a hospital manager...Ch. 6.2 - Interpretation From long experience a landlord...Ch. 6.2 - Critical Thinking In an experiment, there are n...Ch. 6.2 - Critical Thinking In a carnival game, there are...Ch. 6.2 - Critical Thinking According to the college...Ch. 6.2 - Critical Thinking: Simulation Central Eye Clinic...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - Psychology: Deceit Aldrich Ames is a convicted...Ch. 6.2 - Hardware Store: Income Trevor is interested in...Ch. 6.2 - Psychology: Myers-Briggs Approximately 75% of all...Ch. 6.2 - Business Ethics: Privacy Are your finances, buying...Ch. 6.2 - Business Ethics: Privacy According to the same...Ch. 6.2 - Health Care: Office Visits What is the age...Ch. 6.2 - Binomial Distribution Table: Symmetry Study the...Ch. 6.3 - Statistical Literacy What does the expected value...Ch. 6.3 - Statistical Literacy Consider two binomial...Ch. 6.3 - Basic Computation: Expected Value and Standard...Ch. 6.3 - Basic Computation: Expected Value and Standard...Ch. 6.3 - Critical Thinking Consider a binomial distribution...Ch. 6.3 - Criticai Thinking Consider a binomial distribution...Ch. 6.3 - Binomial Distribution: Histograms Consider a...Ch. 6.3 - Binomial Distributions: Histograms Figure 6-6...Ch. 6.3 - Critical Thinking Consider a binomial distribution...Ch. 6.3 - Critical Thinking Consider a binomial distribution...Ch. 6.3 - Sports: Surfing In Hawaii, January is a favorite...Ch. 6.3 - Quality Control: Syringes The quality-control...Ch. 6.3 - Private Investigation: Locating People Old Friends...Ch. 6.3 - Ecology: Hawaiian Tsunamis A tidal wave or tsunami...Ch. 6.3 - Education: Illiteracy USA Today reported that...Ch. 6.3 - Rude Drivers: Tailgating Do you tailgate the car...Ch. 6.3 - Criminal Justice: ParoleUSA Today reports that...Ch. 6.3 - Criminal Justice: Jury Duty Have you ever tried to...Ch. 6.3 - Law Enforcement: Property Crime Does crime pay ?...Ch. 6.3 - Focus Problem: Personality Types We now have the...Ch. 6.3 - Criminal Justice: Convictions Innocent until...Ch. 6.3 - Critical Thinking Let r be a binomial random...Ch. 6.3 - Expand Your Knowledge: Geometric Probability...Ch. 6.3 - Expand Your Knowledge: Geometric Distribution;...Ch. 6.3 - Expand Your Knowledge: Geometric Distribution;...Ch. 6 - Terminology Consider the data set consisting of...Ch. 6 - Terminology Consider the data set consisting of...Ch. 6 - Terminology Which quantity is give by the expected...Ch. 6 - Terminology Consider the following statements...Ch. 6 - Statistical Literacy What are the requirements for...Ch. 6 - Statistical Literacy List the criteria for a...Ch. 6 - Critical Thinking For a binomial probability...Ch. 6 - Critical Thinking Consider a binomial experiment....Ch. 6 - Probability Distribution: Auto Leases Consumer...Ch. 6 - Ecology: Predator and Prey Isle Royale. an island...Ch. 6 - Insurance: Auto State Farm Insurance studies show...Ch. 6 - Quality Control: Pens A stationery store has...Ch. 6 - Criminal Justice: Inmates According to Harper's...Ch. 6 - Airlines: On-Time ArrivalsConsumer Reports rated...Ch. 6 - Ecology: Shark Attacks In Hawaii shark attacks are...Ch. 6 - Restaurants: Reservations The Orchard Caf has...Ch. 6 - College Lire: Student Government The student...Ch. 6 - Although tables of binomial probabilities can be...Ch. 6 - Prob. 2UTACh. 6 - Although tables of binomial probabilities can be...Ch. 6 - Prob. 4UTACh. 6 - Although tables of binomial probabilities can be...Ch. 6 - Although tables of binomial probabilities can be...Ch. 6 - Prob. 7UTACh. 6 - The Hill of Tara is located in south-central...Ch. 6 - Prob. 2CRPCh. 6 - Prob. 3CRPCh. 6 - The Hill of Tara is located in south-central...Ch. 6 - The Hill of Tara is located in south-central...Ch. 6 - The Hill of Tara is located in south-central...Ch. 6 - The Hill of Tara is located in south-central...
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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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