Applied Statistics in Business and Economics
5th Edition
ISBN: 9780077837303
Author: David Doane, Lori Seward Senior Instructor of Operations Management
Publisher: McGraw-Hill Education
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Chapter 6.2, Problem 4SE
On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she has assigned the following
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Consider the state space model X₁ = §Xt−1 + Wt, Yt
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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 6 Solutions
Applied Statistics in Business and Economics
Ch. 6.1 - Which of the following could not be probability...Ch. 6.1 - On hot, sunny, summer days, Jane rents inner tubes...Ch. 6.1 - On the midnight shift, the number of patients with...Ch. 6.2 - On hot, sunny, summer days, Jane rents inner tubes...Ch. 6.2 - On the midnight shift, the number of patients with...Ch. 6.2 - Pepsi and Mountain Dew products sponsored a...Ch. 6.2 - Student Life Insurance Company wants to offer an...Ch. 6.2 - A lottery ticket has a grand prize of 28 million....Ch. 6.2 - Oxnard Petro Ltd. is buying hurricane insurance...Ch. 6.3 - Prob. 10SE
Ch. 6.3 - Prob. 11SECh. 6.3 - Prob. 12SECh. 6.4 - List the X values that are included in each...Ch. 6.4 - Write the probability of each italicized event in...Ch. 6.4 - Find the mean and standard deviation for each...Ch. 6.4 - Prob. 16SECh. 6.4 - Calculate each binomial probability: a. X = 5, n =...Ch. 6.4 - Calculate each binomial probability: a. X = 2, n =...Ch. 6.4 - Prob. 19SECh. 6.4 - Prob. 20SECh. 6.4 - Prob. 21SECh. 6.4 - Calculate each binomial probability: a. Fewer than...Ch. 6.4 - In the Ardmore Hotel, 20 percent of the customers...Ch. 6.4 - Historically, 5 percent of a mail-order firms...Ch. 6.4 - At a Noodles Company restaurant, the probability...Ch. 6.4 - J.D. Power and Associates says that 60 percent of...Ch. 6.4 - Prob. 27SECh. 6.4 - Police records in the town of Saratoga show that...Ch. 6.5 - Find the mean and standard deviation for each...Ch. 6.5 - Find the mean and standard deviation for each...Ch. 6.5 - Calculate each Poisson probability: a. P(X = 6), ...Ch. 6.5 - Prob. 32SECh. 6.5 - Calculate each compound event probability: a. P(X ...Ch. 6.5 - Calculate each compound event probability: a. P(X ...Ch. 6.5 - Prob. 35SECh. 6.5 - Prob. 36SECh. 6.5 - According to J.D. Power and Associates 2006...Ch. 6.5 - At an outpatient mental health clinic, appointment...Ch. 6.5 - The average number of items (such as a drink or...Ch. 6.5 - (a) Why might the number of yawns per minute by...Ch. 6.5 - Prob. 41SECh. 6.5 - Prob. 42SECh. 6.5 - Prob. 43SECh. 6.5 - Prob. 44SECh. 6.5 - The probability that a passenger's bag will be...Ch. 6.6 - (a) State the values that X can assume in each...Ch. 6.6 - ABC Warehouse has eight refrigerators in stock....Ch. 6.6 - A statistics textbook chapter contains 60...Ch. 6.6 - Fifty employee travel expense reimbursement...Ch. 6.6 - A medical laboratory receives 40 blood specimens...Ch. 6.6 - Prob. 51SECh. 6.6 - Two hundred employee travel expense reimbursement...Ch. 6.6 - A law enforcement agency processes 500 background...Ch. 6.6 - Four hundred automobiles arc to be inspected for...Ch. 6.7 - Find each geometric probability. a. P(X = 5) when ...Ch. 6.7 - In the Ardmore Hotel. 20 percent of the guests...Ch. 6.7 - Prob. 57SECh. 6.8 - The height of a Los Angeles Lakers basketball...Ch. 6.8 - The height of a Los Angeles Lakers basketball...Ch. 6.8 - Prob. 60SECh. 6.8 - Prob. 61SECh. 6 - Define (a) random process, (b) random variable,...Ch. 6 - Without using formulas, explain the meaning of (a)...Ch. 6 - What is the difference between a PDF and a CDF?...Ch. 6 - (a) What are the two parameters of a uniform...Ch. 6 - (a) Describe a Bernoulli experiment and give two...Ch. 6 - Prob. 6CRCh. 6 - (a) What are the parameters of a Poisson...Ch. 6 - In the binomial and Poisson models, why is the...Ch. 6 - (a) When are we justified in using the Poisson...Ch. 6 - Prob. 10CRCh. 6 - When are we justified in using (a) the Poisson...Ch. 6 - Name a situation when we would need the (a)...Ch. 6 - What do Rules 1 and 2 say about transforming a...Ch. 6 - What do Rules 3 and 4 say about sums of several...Ch. 6 - In Rule 5, what does the covariance measure? What...Ch. 6 - The probability that a 30-year-old white male will...Ch. 6 - Prob. 63CECh. 6 - Prob. 64CECh. 6 - Prob. 66CECh. 6 - In a certain year, on average 10 percent of the...Ch. 6 - The probability that an American CEO can transact...Ch. 6 - In a certain Kentucky Fried Chicken franchise,...Ch. 6 - In a certain Kentucky Fried Chicken franchise,...Ch. 6 - Write the Excel binomial formula for each...Ch. 6 - Tired of careless spelling and grammar, a company...Ch. 6 - Prob. 73CECh. 6 - Prob. 74CECh. 6 - Prob. 75CECh. 6 - Write the Excel formula for each Poisson...Ch. 6 - A small feeder airline knows that the probability...Ch. 6 - Although television HDTV converters are tested...Ch. 6 - Prob. 79CECh. 6 - There is a 70 percent chance that an airline...Ch. 6 - Lunch customers arrive at a Noodles Company...Ch. 6 - In a major league baseball game, the average is...Ch. 6 - Prob. 83CECh. 6 - In a recent year, potentially dangerous commercial...Ch. 6 - At an outpatient mental health clinic, appointment...Ch. 6 - Prob. 86CECh. 6 - Prob. 87CECh. 6 - Past insurance company audits have found that 2...Ch. 6 - Prob. 89CECh. 6 - In Northern Yellowstone Lake, earthquakes occur at...Ch. 6 - On New Yorks Verrazano Narrows bridge, traffic...Ch. 6 - Leaks occur in a pipeline at a mean rate of 1 leak...Ch. 6 - Prob. 93CECh. 6 - The probability is .03 that a passenger on United...Ch. 6 - Prob. 95CECh. 6 - On average, 2 percent of all persons who are given...Ch. 6 - Prob. 97CECh. 6 - Prob. 99CECh. 6 - The probability that a bakery customer will order...Ch. 6 - Prob. 101CECh. 6 - For patients aged 81 to 90, the probability is .07...Ch. 6 - Prob. 103CECh. 6 - Prob. 104CECh. 6 - Prob. 105CECh. 6 - The Rejuvo Corp. manufactures granite countertop...Ch. 6 - Prob. 107CECh. 6 - Prob. 108CECh. 6 - Prob. 109CECh. 6 - Prob. 110CECh. 6 - Malaprop Ltd. sells two products. Daily sales of...
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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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