
Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 4, Problem 4.170LM
Assume that x is a binomial random variable with n = 100 and p = .5. Use the
- a. P (x ≤ 48)
- b. P (50 ≤ x ≤ 65)
- c. P (x ≥ 70)
- d. P (55 ≤ x ≤ 58)
- e. P (x = 62)
- f. P (x ≤ 49 or x$72)
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Suppose that a random sample of 216 twenty-year-old men is selected from a population and that their heights and weights are recorded. A regression of weight on height
yields
Weight = (-107.3628) + 4.2552 x Height, R2 = 0.875, SER = 11.0160
(2.3220) (0.3348)
where Weight is measured in pounds and Height is measured in inches.
A man has a late growth spurt and grows 1.6200 inches over the course of a year. Construct a confidence interval of 90% for the person's weight gain.
The 90% confidence interval for the person's weight gain is ( ☐ ☐) (in pounds). (Round your responses to two decimal places.)
Suppose that (Y, X) satisfy the assumptions specified here. A random sample of n = 498 is drawn and yields
Ŷ= 6.47 + 5.66X, R2 = 0.83, SER = 5.3
(3.7)
(3.4)
Where the numbers in parentheses are the standard errors of the estimated coefficients B₁ = 6.47 and B₁ = 5.66 respectively.
Suppose you wanted to test that B₁ is zero at the 5% level. That is,
Ho: B₁ = 0 vs. H₁: B₁ #0
Report the t-statistic and p-value for this test.
Definition
The t-statistic is
(Round your response to two decimal places)
☑
The Least Squares Assumptions
Y=Bo+B₁X+u, i = 1,..., n, where
1. The error term u; has conditional mean zero given X;: E (u;|X;) = 0;
2. (Y;, X¡), i = 1,..., n, are independent and identically distributed (i.i.d.) draws from
i
their joint distribution; and
3. Large outliers are unlikely: X; and Y, have nonzero finite fourth moments.
Asap please
Chapter 4 Solutions
Statistics for Business and Economics (13th Edition)
Ch. 4.1 - Types of random variables. Which of the following...Ch. 4.1 - Types of finance random variables. Security...Ch. 4.1 - NHTSA crash tests. Refer to the National Highway...Ch. 4.1 - Customers in line at a Subway shop. The number of...Ch. 4.1 - Executive pay. Refer to Glassdoor Economic...Ch. 4.1 - Banking. Give an example of a discrete random...Ch. 4.1 - Economics. Give an example of a continuous random...Ch. 4.1 - Hotel management. Give an example of a discrete...Ch. 4.1 - Retailing. Give two examples of discrete random...Ch. 4.1 - Stock market. Give an example of a continuous...
Ch. 4.2 - A discrete random variable x can assume five...Ch. 4.2 - The random variable x has the following discrete...Ch. 4.2 - A discrete random variable x can assume five...Ch. 4.2 - Explain why each of the following is or is not a...Ch. 4.2 - A die is tossed. Let x be the number of spots...Ch. 4.2 - Toss three fair coins and let x equal the number...Ch. 4.2 - Use the apple! Random Numbers to generate a list...Ch. 4.2 - Run the applet Simulating the Probability of a...Ch. 4.2 - Consider the probability distribution shown here:...Ch. 4.2 - Consider the probability distribution for the...Ch. 4.2 - Consider the probability distributions shown here:...Ch. 4.2 - Apps not working on smartphone. In a Pew Research...Ch. 4.2 - NHTSA crash tests. Refer to the NHTSA crash tests...Ch. 4.2 - Ages of dot-com employees. The age (in years)...Ch. 4.2 - Variable speed limit control for freeways. A...Ch. 4.2 - Choosing portable grill displays. Refer to the...Ch. 4.2 - Do social robots walk or roll? Refer to the...Ch. 4.2 - Reliability of a manufacturing network. A team of...Ch. 4.2 - Prob. 4.27ACICh. 4.2 - Prob. 4.28ACICh. 4.2 - Contaminated gun cartridges. A weapons...Ch. 4.2 - The last name effect in purchasing. The Journal of...Ch. 4.2 - Mail rooms contaminated with anthrax. During...Ch. 4.2 - Investment risk analysis. The risk of a portfolio...Ch. 4.2 - Prob. 4.33ACICh. 4.2 - Stock market participation and IQ. Refer to The...Ch. 4.2 - Expected loss due to flood damage. The National...Ch. 4.2 - Expected Lotto winnings. Most states offer weekly...Ch. 4.2 - Prob. 4.37ACACh. 4.2 - Prob. 4.38ACACh. 4.2 - Prob. 4.39ACACh. 4.3 - Compute the following: a. 6!2!(62)! b. (52) c....Ch. 4.3 - Consider the following probability distribution:...Ch. 4.3 - Suppose x is a binomial random variable with n = 3...Ch. 4.3 - If x is a binomial random variable, compute p (x)...Ch. 4.3 - If x is a binomial random variable, use Table I in...Ch. 4.3 - If x is a binomial random variable, calculate , 2,...Ch. 4.3 - The binomial probability distribution is a family...Ch. 4.3 - Use the applets Simulating the Probability of a...Ch. 4.3 - Open the applet Sample from a Population. On the...Ch. 4.3 - Use the applet Simulating the Stock Market to...Ch. 4.3 - Working on summer vacation. Recall (Exercise 3.13,...Ch. 4.3 - Privacy and information sharing. Some grocery...Ch. 4.3 - Hotel guest satisfaction. Each year, J. D. Power...Ch. 4.3 - Physicians opinions on a career in medicine. The...Ch. 4.3 - Playing sports related to job pay. Does...Ch. 4.3 - Immediate feedback to incorrect exam answers....Ch. 4.3 - Fingerprint expertise. Refer to the Psychological...Ch. 4.3 - Making your vote count. Refer to the Chance (Fall...Ch. 4.3 - Bridge inspection ratings. According to the...Ch. 4.3 - Tax returns audited by the IRS. According to the...Ch. 4.3 - FDA report on pesticides in food. Periodically,...Ch. 4.3 - Prob. 4.58ACACh. 4.3 - USGA golf ball specifications. According to the...Ch. 4.3 - Network forensic analysis. A network forensic...Ch. 4.4 - Consider the probability distribution shown here:...Ch. 4.4 - Assume that x is a random variable having a...Ch. 4.4 - Prob. 4.63LMCh. 4.4 - Prob. 4.64LMCh. 4.4 - Prob. 4.65LMCh. 4.4 - Suppose x is a random variable for which a Poisson...Ch. 4.4 - Prob. 4.67LMCh. 4.4 - Prob. 4.68LMCh. 4.4 - Prob. 4.69ACBCh. 4.4 - FDIC bank failures. The Federal Deposit Insurance...Ch. 4.4 - Airline fatalities. Over the past 5 years, U.S....Ch. 4.4 - Male nannies. According to the International Nanny...Ch. 4.4 - Contaminated gun cartridges. Refer to the...Ch. 4.4 - Prob. 4.74ACBCh. 4.4 - Prob. 4.75ACICh. 4.4 - Traffic fatalities and sporting events. The...Ch. 4.4 - Prob. 4.77ACICh. 4.4 - Guilt in decision making. The Journal of...Ch. 4.4 - Flaws in plastic-coated wire. The British Columbia...Ch. 4.4 - Making high-stakes insurance decisions. The...Ch. 4.4 - Prob. 4.81ACACh. 4.4 - Waiting for a car wash. An automatic car wash...Ch. 4.4 - Elevator passenger arrivals. A study of the...Ch. 4.6 - Find the area under the standard normal...Ch. 4.6 - Find the following probabilities for the standard...Ch. 4.6 - Find the following probabilities for the standard...Ch. 4.6 - Find each of the following probabilities for the...Ch. 4.6 - Find a value of the standard normal random...Ch. 4.6 - Find a value of the standard normal random...Ch. 4.6 - Give the z-score for a measurement from a normal...Ch. 4.6 - Suppose the random variable x is best described by...Ch. 4.6 - The random variable x has a normal distribution...Ch. 4.6 - Suppose x is a normally distributed random...Ch. 4.6 - Suppose x is a normally distributed random...Ch. 4.6 - Suppose x is a binomial random variable with p =...Ch. 4.6 - Assume that x is a binomial random variable with n...Ch. 4.6 - Open the applet Sample from a Population. On the...Ch. 4.6 - Variable life insurance return rates. With a...Ch. 4.6 - Hotels use of ecolabels. Refer to the Journal of...Ch. 4.6 - Tomato as a taste modifier. Miraculina protein...Ch. 4.6 - Corporate sustainability of CPA firms. Refer to...Ch. 4.6 - Shopping vehicle and judgment. Refer to the...Ch. 4.6 - Buy-side vs. sell-side analysts earnings...Ch. 4.6 - Blood diamonds. According to Global Research News...Ch. 4.6 - Prob. 4.104ACBCh. 4.6 - Executive networking and firm performance. Refer...Ch. 4.6 - Voltage sags and swells. Refer to the Electrical...Ch. 4.6 - Prob. 4.107ACICh. 4.6 - Safety of underground tunnels. Research published...Ch. 4.6 - Prob. 4.109ACICh. 4.6 - Manufacturing hourly pay rate. Government data...Ch. 4.6 - Personnel dexterity tests. Personnel tests are...Ch. 4.6 - Californias electoral college votes. During a...Ch. 4.6 - Prob. 4.113ACICh. 4.6 - Industrial filling process. The characteristics of...Ch. 4.6 - Prob. 4.115ACACh. 4.6 - Box plots and the standard normal distribution....Ch. 4.7 - If a population data set is normally distributed,...Ch. 4.7 - Prob. 4.118LMCh. 4.7 - Prob. 4.119LMCh. 4.7 - Examine the sample data in the accompanying table....Ch. 4.7 - Prob. 4.121ACBCh. 4.7 - Prob. 4.122ACBCh. 4.7 - Drug content assessment. Scientists at...Ch. 4.7 - Prob. 4.124ACBCh. 4.7 - Prob. 4.125ACBCh. 4.7 - Wear-out of used display panels. Wear-out failure...Ch. 4.7 - Rankings of research universities. Refer to the...Ch. 4.7 - Sanitation inspection of cruise ships. Refer to...Ch. 4.7 - Ranking driving performance of professional...Ch. 4.7 - Permeability of sandstone during weathering. Refer...Ch. 4.7 - Prob. 4.131ACACh. 4.8 - Suppose x is a random variable best described by a...Ch. 4.8 - Suppose x is a random variable best described by a...Ch. 4.8 - Refer to Exercise 4.133. Find the following...Ch. 4.8 - Suppose x has an exponential distribution with =...Ch. 4.8 - Prob. 4.136LMCh. 4.8 - Prob. 4.137LMCh. 4.8 - Prob. 4.138LMCh. 4.8 - Prob. 4.7AECh. 4.8 - Prob. 4.8AECh. 4.8 - Load on timber beams. Timber beams are widely used...Ch. 4.8 - Preventative maintenance tests. The optimal...Ch. 4.8 - Maintaining pipe wall temperature. Maintaining a...Ch. 4.8 - Detecting anthrax. Researchers at the University...Ch. 4.8 - Lead in metal shredder residue. On the basis of...Ch. 4.8 - Critical-part failures in NASCAR vehicles. In...Ch. 4.8 - Social network densities. Social networking sites...Ch. 4.8 - Boeing 787 Dreamliner. An assessment of the new...Ch. 4.8 - Soft-drink dispenser. The manager of a local...Ch. 4.8 - Prob. 4.148ACICh. 4.8 - Prob. 4.149ACICh. 4.8 - Cycle availability of a system. In the jargon of...Ch. 4.8 - Prob. 4.151ACICh. 4.8 - Reliability of CO-ROMs. In Reliability Ques (March...Ch. 4.8 - Prob. 4.153ACACh. 4.8 - Reliability of a robotic device. The reliability...Ch. 4.8 - Prob. 4.155ACACh. 4 - For each of the following examples, decide whether...Ch. 4 - Given that x is a binomial random variable,...Ch. 4 - Consider the discrete probability distribution...Ch. 4 - Suppose x is a binomial random variable with n =...Ch. 4 - Suppose x is a Poisson random variable. Compute p...Ch. 4 - Identify the type of random variablebinomial,...Ch. 4 - Prob. 4.162LMCh. 4 - Which of the following describe discrete random...Ch. 4 - Assume that x is a random variable best described...Ch. 4 - Find the following probabilities for the standard...Ch. 4 - Find a z-score, call it z0, such that a. P (z z0)...Ch. 4 - Identify the type of continuous random...Ch. 4 - Assume that x has an exponential distribution with...Ch. 4 - The random variable x has a normal distribution...Ch. 4 - Assume that x is a binomial random variable with n...Ch. 4 - The random variable x has a normal distribution...Ch. 4 - Analysis of bottled water. Is the bottled water...Ch. 4 - Downloading apps to your cell phone. According to...Ch. 4 - LASIK surgery complications. According to studies,...Ch. 4 - Requests to a Web server. According to Brighton...Ch. 4 - NASA and rare planet transits. A planet transit is...Ch. 4 - Hospital patient interarrival times. The length of...Ch. 4 - Dutch elm disease. A nursery advertises that it...Ch. 4 - Tracking missiles with satellite imagery. The...Ch. 4 - The business of casino gaming. Casino gaming...Ch. 4 - Machine repair times. An article in IEEE...Ch. 4 - Public transit deaths. Millions of suburban...Ch. 4 - On-site treatment of hazardous waste. The Resource...Ch. 4 - When to replace a maintenance system. An article...Ch. 4 - Software file updates. Software configuration...Ch. 4 - NHTSA crash safety tests. Refer to Exercise 4.21...Ch. 4 - Errors in measuring truck weights. To help highway...Ch. 4 - Detecting a computer virus attack. Chance (Winter...Ch. 4 - Whistle-blowing among federal employees....Ch. 4 - Ambulance response time. Ambulance response time...Ch. 4 - Optimal goal target in soccer. When attempting to...Ch. 4 - Marine losses for an oil company. The frequency...Ch. 4 - Reliability of a flow network. The journal...Ch. 4 - Doctors and ethics. Refer to the Journal of...Ch. 4 - Prob. 4.195ACICh. 4 - Testing for spoiled wine. Suppose that you are...Ch. 4 - Estimating demand for white bread. A bakery has...Ch. 4 - Checkout lanes at a supermarket. A team of...Ch. 4 - Rating employee performance. Almost all companies...Ch. 4 - Ship-to-shore transfer times. Lack of port...Ch. 4 - Prob. 4.201ACACh. 4 - Establishing tolerance limits. The tolerance...Ch. 4 - The showcase showdown. On the popular television...Ch. 4 - Reliability of a one-shot device. A one-shot...Ch. 4 - Super weapons development. The U.S. Army is...Ch. 4 - Space shuttle disaster. On January 28, 1986, the...Ch. 4 - Warehouse clubs are retailers that offer lower...Ch. 4 - Prob. 4.1.2ACh. 4 - Prob. 4.1.3ACh. 4 - Prob. 4.1.4ACh. 4 - Prob. 4.1.5ACh. 4 - Prob. 4.1.6ACh. 4 - Prob. 4.1.7ACh. 4 - Warehouse clubs are retailers that offer lower...
Additional Math Textbook Solutions
Find more solutions based on key concepts
Length of a Guy Wire A communications tower is located at the top of a steep hill, as shown. The angle of incli...
Precalculus: Mathematics for Calculus (Standalone Book)
Reading, Writing, and Rounding Whole Numbers Write in words. 357
Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)
1. How is a sample related to a population?
Elementary Statistics: Picturing the World (7th Edition)
Check Your Understanding
Reading Check Complete each sentence using > or < for □.
RC1. 3 dm □ 3 dam
Basic College Mathematics
The largest polynomial that divides evenly into a list of polynomials is called the _______.
Elementary & Intermediate Algebra
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Tasks Exercise 1 Assess the following functions: 1. f(x)= x2+6x+2 2.f '(x)=10x-2x2+5 a. Find the stationary points. (5 marks) b. Determine whether the stationary point is a maximum or minimum. (5 marks) c. Draw the corresponding curves (5 marks)arrow_forwardProblem 2: The sales data over the last 10 years for the Acme Hardware Store are as follows: 2003 $230,000 2008 $526,000 2004 276,000 2009 605,000 2005 328,000 2010 690,000 2006 388,000 2011 779,000 2007 453,000 2012 873,000 1. Calculate the compound growth rate for the period of 2003 to 2012. 2. Based on your answer to part a, forecast sales for both 2013 and 2014. 3. Now calculate the compound growth rate for the period of 2007 to 2012. 1. Based on your answer to part e, forecast sales for both 2013 and 2014. 5. What is the major reason for the differences in your answers to parts b and d? If you were to make your own projections, what would you forecast? (Drawing a graph is very helpful.)arrow_forwardExercise 4A firm has the following average cost: AC = 200 + 2Q – 36 Q Find the stationary point and determine if it is a maximum or a minimum.b. Find the marginal cost function.arrow_forward
- Exercise 4A firm has the following average cost: AC = 200 + 2Q – 36 Q Find the stationary point and determine if it is a maximum or a minimum.b. Find the marginal cost function.arrow_forwardExercise 2A firm has the following short-run production function: Q = 30L2 -0.5L3a. Make a table with two columns: Production and Labour b. Add a third column to the table with the marginal product of labour c. Graph the values that you estimated for the production function and the marginal product oflabour Exercise 3A Firm has the following production function: Q= 20L-0.4L2a. Using differential calculus find the unit of labour that maximizes the production. b. Estimate function of Marginal product of labor c. Obtain the Average product of labor. d. Find the point at which the Marginal Product of Labour is equal to the Average Product of Labour.arrow_forwardProblem 3 You have the following data for the last 12 months' sales for the PRQ Corporation (in thousands of dollars): January 500 July 610 February 520 August 620 March 520 September 580 April 510 October 550 May 530 November 510 June 580 December 480 1. Calculate a 3-month centered moving average. 2. Use this moving average to forecast sales for January of next year. 3. If you were asked to forecast January and February sales for next year, would you be confident of your forecast using the preceding moving averages? Why or why not? expect? Explain.arrow_forward
- Problem 5 The MNO Corporation is preparing for its stockholder meeting on May 15, 2013. It sent out proxies to its stockholders on March 15 and asked stockholders who plan to attend the meeting to respond. To plan for a sufficient number of information packages to be distributed at the meeting, as well as for refreshments to be served, the company has asked you to forecast the number of attending stockholders. By April 15, 378 stockholders have expressed their intention to attend. You have available the following data for the last 6 years for total attendance at the stockholder meeting and the number of positive responses as of April 15: Year Positive Responses Attendance 2007 322 520 2008 301 550 2009 398 570 2010 421 600 2011 357 570 2012 452 650 1. What is your attendance forecast for the 2013 stockholder meeting? 2. Are there any other factors that could affect attendance, and thus make your forecast inac- curate?arrow_forwardProblem 4 Office Enterprises (OE) produces a line of metal office file cabinets. The company's economist, having investigated a large number of past data, has established the following equation of demand for these cabinets: Q=10,000+6013-100P+50C Q=Annual number of cabinets sold B = Index of nonresidential construction P = Average price per cabinet charged by OE C=Average price per cabinet charged by OE's closest competitor It is expected that next year's nonresidential construction index will stand at 160, OE's average price will be $40, and the competitor's average price will be $35. 1. Forecast next year's sales. 2. What will be the effect if the competitor lowers its price to 832? If it raises its price to $36? 3. What will happen if OE reacts to the decrease mentioned in part b by lowering its price to $37? 4. If the index forecast was wrong, and it turns out to be only 140 next year, what will be the effect on OE's sales? If not, what does it measure?arrow_forwardName: Problem 1: Managerial Economics, Assignment 5 April 20, 2025 If the sales of your company have grown from $500,000 five years ago to $1,050,150 this year, what is the compound growth rate? If you expect your sales to grow at a rate of 10 percent for the next five years, what should they be five years from now?arrow_forward
- 1. In this question, assume all dollar units are real dollars in billions. For example, $100 means $100 billion. Argentina thinks it can find $105 of domestic investment projects with a marginal product of capital (MPK) equal to 10% (each $1 invested in year 0 pays off $0.10 in every later year). Assume a world real interest rate r*is 5%, and initial external wealth W (W in year -1) is 0. a. You find that the formula on the lecture slide: > r*, which means that a country will ΔΟ AK take on investment projects as long as the marginal product of capital (MPK) is at least as high as the real interest rate. Using this formula, answer if Argentina should conduct the project. b. If the projects are not done, GDP = Q = C = $200 in all years. Compute the present value of Q and C. c. If Argentina conducts the projects (investing $105), what is the present value of Q and C? d. If Argentina conducts the projects, what is the present value of C? Is Argentina better off with the investment?arrow_forward2. Consider a world of two countries: Highland (H) and Lowland (L). Each country has an average output of 9 and desires to smooth consumption. All income takes the form of capital income and is fully consumed each period. Initially, there are two states of the world: Pandemic (P) and Flood (F) each occurring with 50% probability. Pandemic affects Highland and lowers the output there to 8, leaving Lowland unaffected with an output of 10. Flood affects Lowland and lowers the output there to 8, leaving Highland unaffected with an output of 10. a. Assume that households in each country own the entire capital stock of their own land. Fill in the numbers on the following table. Pandemic Highland's income Lowland's income Flood Variation about the mean b. Assume that each country owns 50% of the other country's capital. Fill in the numbers on the following table. Pandemic Flood Variation about the mean Highland's income Lowland's income c. Compare your answer to (a) and (b). Does…arrow_forward3. This question explores IS and FX equilibria in a numerical example. a. The consumption function is C = 1.5 + 0.8(Y - T). What is the marginal propensity to consume (MPC)? What is the marginal propensity to save (MPS)? b. The trade balance is TB = 5 [1-()] - (0.2(Y-8). What is the marginal propensity to consume foreign goods (MPCF)? What is the marginal propensity to consume home goods(MPCH)? c. The investment function is I = 3 - 10i. What is investment when the interest rate is equal to 0.10=10%. d. Assume government spending is G. Add up the four components of demand and write down the expression for D. Make sure that you simplify the equation. e. Derive the equation for the good market equilibrium using Y = D.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Managerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage LearningManagerial Economics: Applications, Strategies an...EconomicsISBN:9781305506381Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. HarrisPublisher:Cengage Learning
- Economics (MindTap Course List)EconomicsISBN:9781337617383Author:Roger A. ArnoldPublisher:Cengage Learning

Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning

Managerial Economics: Applications, Strategies an...
Economics
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:Cengage Learning

Economics (MindTap Course List)
Economics
ISBN:9781337617383
Author:Roger A. Arnold
Publisher:Cengage Learning


Mod-01 Lec-01 Discrete probability distributions (Part 1); Author: nptelhrd;https://www.youtube.com/watch?v=6x1pL9Yov1k;License: Standard YouTube License, CC-BY
Discrete Probability Distributions; Author: Learn Something;https://www.youtube.com/watch?v=m9U4UelWLFs;License: Standard YouTube License, CC-BY
Probability Distribution Functions (PMF, PDF, CDF); Author: zedstatistics;https://www.youtube.com/watch?v=YXLVjCKVP7U;License: Standard YouTube License, CC-BY
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License