EBK UNDERSTANDING BASIC STATISTICS
7th Edition
ISBN: 9780100547568
Author: BRASE
Publisher: YUZU
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Textbook Question
Chapter 7.4, Problem 1P
Statistical Literacy What is a population? Give three examples.
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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?
Business Discuss
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 7 Solutions
EBK UNDERSTANDING BASIC STATISTICS
Ch. 7.1 - Statistical Literacy Which, if any, of the curves...Ch. 7.1 - Statistical Literacy Look at the normal curve in...Ch. 7.1 - Critical Thinking Look at the two normal curves in...Ch. 7.1 - Critical Thinking Sketch a normal curve (a) with...Ch. 7.1 - Basic Computation: Empirical Rule What percentage...Ch. 7.1 - Basic Computation: Empirical Rule What percentage...Ch. 7.1 - Distribution: Heights of Coeds Assuming that the...Ch. 7.1 - Distribution: Rhode Island Red Chicks The...Ch. 7.1 - Archaeology: Tree Rings At Burnt Mesa Pueblo,...Ch. 7.1 - Vending Machine: Soft Drinks A vending machine...
Ch. 7.1 - Pain Management: Laser Therapy Effect of...Ch. 7.1 - Expand Your knowledge: Continuous Uniform...Ch. 7.1 - Unifrom Distribution: Measurement Errors...Ch. 7.2 - Statistical Literacy What does a standard score...Ch. 7.2 - Statistical Literacy Does a raw score less than...Ch. 7.2 - Statistical Literacy What is the value of the...Ch. 7.2 - Statistical Literacy What are the values of the...Ch. 7.2 - Basic Computation: z Score and Raw Score A normal...Ch. 7.2 - Basic Computation: z Score and Raw Score A normal...Ch. 7.2 - Critical Thinking Consider the following scores:...Ch. 7.2 - Critical Thinking Raul received a score of 80 on a...Ch. 7.2 - z Scores: First Aid Course The college physical...Ch. 7.2 - z Scores: Fawns Fawns between 1 and 5 months old...Ch. 7.2 - Prob. 11PCh. 7.2 - Normal Curve: Tree Rings Tree-ring dates were used...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Prob. 22PCh. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.3 - Statistical Literacy Consider a normal...Ch. 7.3 - Statistical Literacy Suppose 5% of the area under...Ch. 7.3 - Statistical Literacy Suppose 5% of the area under...Ch. 7.3 - Critical Thinking: Normality Consider the...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Medical: Blood Glucose A person's blood glucose...Ch. 7.3 - Medical: Blood Protoplasm Porphyrin is a pigment...Ch. 7.3 - 27 Archaeology: Hopi Village Thickness...Ch. 7.3 - Law Enforcement: Police Response Time Police...Ch. 7.3 - Guarantee: Batteries Quick Start Company makes...Ch. 7.3 - Guarantee: Watches Accrotime is a manufacturer of...Ch. 7.3 - Expand Your Knowledge: Estimating the Standard...Ch. 7.3 - Estimating the Standard Deviation: Refrigerator...Ch. 7.3 - Estimating the Standard Deviation: Veterinary...Ch. 7.3 - Estimating the Standard Deviation: Veterinary...Ch. 7.3 - Insurance: Satellites A relay microchip in a...Ch. 7.4 - Statistical Literacy What is a population? Give...Ch. 7.4 - Statistical Literac y What is a random sample from...Ch. 7.4 - Statistical Literacy What is a population...Ch. 7.4 - Statistical Literacy What is a sample statistic?...Ch. 7.4 - Statistical Literacy What is the meaning of the...Ch. 7.4 - Statistical Literacy What is a sampling...Ch. 7.4 - Critical Thinking How do frequency tables,...Ch. 7.4 - Critical Thinking How can relative frequencies be...Ch. 7.4 - Critical Thinking Give an example of a specific...Ch. 7.5 - Statistical Literacy What is the standard error of...Ch. 7.5 - Statistical Literacy What is the standard...Ch. 7.5 - Statistical Literacy List two unbiased estimators...Ch. 7.5 - Statistical Literacy Describe how the variability...Ch. 7.5 - Basic Computation: Central Limit Theorem Suppose x...Ch. 7.5 - Basic Computation: Central Limit Theorem Suppose x...Ch. 7.5 - Prob. 7PCh. 7.5 - Critical Thinking Suppose x has a distribution...Ch. 7.5 - Critical Thinking Consider two x distributions...Ch. 7.5 - Critical Thinking Consider an x distribution with...Ch. 7.5 - Critical Thinking Suppose x has a distribution...Ch. 7.5 - Critical Thinking Suppose an x distribution has...Ch. 7.5 - Coal: Automatic Loader Coal is carried from a mine...Ch. 7.5 - Vital Statistics: Heights of Men The heights of...Ch. 7.5 - Medical: Blood Glucose Let x be a random variable...Ch. 7.5 - Medical: White Blood Cells Let x be a random...Ch. 7.5 - Wildlife: Deer Let x be a random variable that...Ch. 7.5 - Focus Problem: Impulse Buying Let x represent the...Ch. 7.5 - Finance: Templeton Funds Templeton world is a...Ch. 7.5 - Finance: European Growth Fund A European growth...Ch. 7.6 - Statistical Literacy Binomial probability...Ch. 7.6 - Statistical Literacy When we use a normal...Ch. 7.6 - Basic Computation: Normal Approximation to a...Ch. 7.6 - Basic Computation: Normal Approximation to a...Ch. 7.6 - Critical Thinking You need to compute the...Ch. 7.6 - Critical Thinking Consider a binomial experiment...Ch. 7.6 - In the following problems, check that it is...Ch. 7.6 - Insurance: Claims Do you try to pad an insurance...Ch. 7.6 - Longevity: 90th Birthday It is estimated that 3.5%...Ch. 7.6 - Fishing: Billfish Ocean fishing for billfish is...Ch. 7.6 - Grocery Stores: New ProductsThe Denver Post slated...Ch. 7.6 - Crime: Murder What are the chances that a person...Ch. 7.6 - Supermarkets: Free Samples Do you take the free...Ch. 7.6 - Ice Cream: Flavors Whats your favorite ice cream...Ch. 7.6 - Airline Flights: No-Shows Based on long...Ch. 7.6 - 16. General: Approximations We have studied the...Ch. 7.6 - Statistical Literacy Under what conditions is it...Ch. 7.6 - Statistical Literacy What is the formula for the...Ch. 7.6 - Statistical Literacy Is p an unbiased estimator...Ch. 7.6 - Basic Computation: p Distribution Suppose we have...Ch. 7.6 - Basic Computation: p Distribution Suppose we have...Ch. 7 - Statistical Literacy Describe a normal probability...Ch. 7 - Statistical Literacy According to the empirical...Ch. 7 - Statistical Literacy Random sample of size 9 is...Ch. 7 - Statistical Literacy Can a normal distribution...Ch. 7 - Statistical Literacy What characteristic of a...Ch. 7 - Statistical Liter acy For a normal distribution,...Ch. 7 - Statistical Literacy Give the formula for the...Ch. 7 - Statistical Literacy Give the formula for the...Ch. 7 - Critical Thinking Let x be a random variable...Ch. 7 - Critical Thinking If x has a normal distribution...Ch. 7 - Basic Computation: Probability Given that x is a...Ch. 7 - Basic Computation: Probability Given that x is a...Ch. 7 - Basic Computation: Inverse Normal Find z such that...Ch. 7 - Basic Computation: Inverse Normal Find z such that...Ch. 7 - Medical: Blood Type Blood type AB is found in only...Ch. 7 - Customer Complaints: Time The Customer Service...Ch. 7 - 21. Recycling: Aluminum Cans One environmental...Ch. 7 - Prob. 18CRCh. 7 - Guarantee: Package Delivery Express Courier...Ch. 7 - Drugs: Effects A new muscle relaxant is available....Ch. 7 - Psychology: IQ Scores Assume that IQ scores are...Ch. 7 - Hatchery Fish: Length A large tank of fish from a...Ch. 7 - Basic Computation: p Distribution Suppose we have...Ch. 7 - Green Behavior: Purchasing Habits A recent Harris...Ch. 7 - Iris setosa is a beautiful wildflower that is...Ch. 7 - If you look up the word empirical in a dictionary,...Ch. 7 - Why are standard z values so important? Is it true...Ch. 7 - Most people would agree that increased information...Ch. 7 - In a way, the central limit theorem can be thought...
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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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