Business Analytics
3rd Edition
ISBN: 9780135231678
Author: Evans, James R. (james Robert)
Publisher: PEARSON EDUCATION (COLLEGE)
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Textbook Question
Chapter 1, Problem 1.5CYU
What challenges do organizations face in using analytics?
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Consider the state space model X₁ = §Xt−1 + Wt, Yt
=
AX+Vt, where Xt
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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 1 Solutions
Business Analytics
Ch. 1 - Explain why analytics is important in todays...Ch. 1 - Define business analytics.Ch. 1 - State three examples of how business analytics is...Ch. 1 - What are the key benefits of using business...Ch. 1 - What challenges do organizations face in using...Ch. 1 - Prob. 2.1CYUCh. 1 - How do statistical methods enhance business...Ch. 1 - What is operations research/management science?Ch. 1 - How does modern business analytics integrate...Ch. 1 - What are the components of a decision support...
Ch. 1 - Define prescriptive analytics and provide two...Ch. 1 - Define prescriptive analytics and provide two...Ch. 1 - Define prescriptive analytics and provide two...Ch. 1 - State three examples of how data are used in...Ch. 1 - How are data obtained from the Web used in...Ch. 1 - Define big data and list the four characteristics...Ch. 1 - Explain the concepts of data reliability and...Ch. 1 - Define a model and state three common forms of a...Ch. 1 - Prob. 5.2CYUCh. 1 - Prob. 5.3CYUCh. 1 - Define optimization and the characteristics of...Ch. 1 - Explain the importance of assumptions in building...Ch. 1 - What is the difference between uncertainty and...Ch. 1 - List the major phases of problem solving and...Ch. 1 - What lessons did Hewlett-Packard learn about using...Ch. 1 - For each of the following scenarios, state whether...Ch. 1 - Suppose that a manufacturer can produce a part for...Ch. 1 - Use the model developed in Example 1.5 to predict...Ch. 1 - A bank developed a model for predicting the...Ch. 1 - Four key marketing decision options are price (P),...Ch. 1 - Total marketing effort is a term used to describe...Ch. 1 - A manufacturer of headphones is preparing to set...Ch. 1 - PERFORMANCE LAWN EQUIPMENT In each chapter of this...Ch. 1 - Develop a spreadsheet for computing the demand for...Ch. 1 - The Excel file Science and Engineering Jobs shows...Ch. 1 - A new graduate has taken a job with an annual...Ch. 1 - Example 1.2 in the chapter described a scenario...Ch. 1 - Return on investment (ROI) is profit divided by...Ch. 1 - In the Accounting Professionals database, use...Ch. 1 - Prob. 7PEACh. 1 - Prob. 8PEACh. 1 - The worksheet Base Data in the Excel file Credit...Ch. 1 - The Excel file Store and Regional Sales Database...Ch. 1 - Define range names for all the data and model...Ch. 1 - Define range names for all the entities in the...Ch. 1 - Define range names for all the entities in the...
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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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