Business Statistics For Contemporary Decision Making 9th edition Ken Black - Solutions

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Compute the support reactions and the maximum tension in the cable in Figure
Bloomberg L.P. lists the top 20 U.S. companies by revenue. Walmart stores is number one followed by Exxon Mobil and Chevron. Of the 20 companies on the list, 8 are in some type of electronicsrelated business. Suppose four firms are randomly selected.a. What is the probability that none of the firms
The three-hinged parabolic arch in Figure P6.24 supports 60-kip load at the quarter points. Determine the shear, axial load, and moment on sections an infinitesimal distance to the left and right of the loads. The equation for the arch axis is \(y=4 h x^{2} /
Compute the reactions at supports $A$ and $E$ of the three-hinged parabolic arch in Figure P6.23. Next compute the shear, axial load, and moment at points $B$ and $D$, located at the quarter
For the three-hinged arch shown in Figure P6.22, compute the reactions at $A$ and $C$. Determine the axial force, shear, and moment at $D$.![](https://cdn.mathpix.com/cropped/2024_01_26_348197e740024fbc0a93g-6.jpg?height=510&width=786&top_left_y=321&top_left_x=117)
The arch shown in Figure P6.21 has a pin support at $A$ and a roller at $C$. A tension rod connects $A$ and $C$. Determine the reactions at $A$ and $C$ and the tension in \(\operatorname{rod} A
For the arch shown in Figure P6.20, the thrust force exceeded the abutment's lateral support capacity, which is represented by a roller at $C$. Load $P$ was removed temporarily and tension $\operatorname{rod} A C$ was added. If the maximum compression in members $A B$ and $B C$ will be
Determine the reactions at supports $A$ and $C$ of the three-hinged circular arch.![](https://cdn.mathpix.com/cropped/2024_01_26_348197e740024fbc0a93g-5.jpg?height=497&width=617&top_left_y=1610&top_left_x=342)P6.19
For the arch and loading in Figure P6.18, compute the reactions and determine the height of each point. The maximum height permitted at any point along the arch, $h_{z \max }$, is \(20
For the parabolic arch in Figure P6.17, plot the variation of the thrust $T$ at support $A$ for values of $h=12$, $24,36,48$, and $60 \mathrm{ft}$.![](https://cdn.mathpix.com/cropped/2024_01_26_348197e740024fbc0a93g-5.jpg?height=377&width=629&top_left_y=390&top_left_x=328)
Computer study of a cable-stayed bridge. The deck and tower making up the two-span, cable-stayed bridge in Figure P6.16 are constructed of reinforced concrete. The cross section of the bridge is constant with an area of $15 \mathrm{ft}^{2}$ and a moment of inertia of $19 \mathrm{ft}^{4}$. The
The cable-supported roof for a summer theater, shown in Figure P6.15, is composed of 24 equally spaced cables that span from a tension ring at the center to a compression ring on the perimeter. The tension ring lies $12 \mathrm{ft}$ below the compression ring. The roof weighs \(25 \mathrm{lb} /
Determine the location of the $40-\mathrm{kN}$ load such that sags at points $B$ and $C$ in Figure P6.14 are $3 \mathrm{~m}$ and $2 \mathrm{~m}$, respectively. Determine the maximum tension in the cable and the reactions at supports $A$ and
The sag at midspan is $12 \mathrm{ft}$. Each hanger can be assumed to provide a simple support for the suspended beam. Determine the sag at points $B$ and $D$.![](https://cdn.mathpix.com/cropped/2024_01_26_348197e740024fbc0a93g-3.jpg?height=393&width=772&top_left_y=627&top_left_x=1103)P6.13
The cable in Figure P6.11 is capable of carrying a tensile load of $180 \mathrm{kips}$ and the pin supports are capable of providing a horizontal reaction of 150 kips. Determine the shape of the cable subjected to the loading
Compute the support reactions and the maximum value of $w$ if the allowable tension force in the cable in Figure P6.10 is $200 \mathrm{kN}$.![](https://cdn.mathpix.com/cropped/2024_01_26_348197e740024fbc0a93g-2.jpg?height=265&width=640&top_left_y=1833&top_left_x=1031)P6.10
A uniformly distributed load on beam $A B C$ in Figure P6.9 causes it to sag. To counteract this sag, a cable and post are added beneath the beam. The cable is tensioned until the force in the post causes a moment equal in magnitude, but opposite in direction, to the moment in the beam. Determine
Compute the support reactions and the maximum tension in the cable in Figure P6.8.![](https://cdn.mathpix.com/cropped/2024_01_26_348197e740024fbc0a93g-2.jpg?height=378&width=714&top_left_y=321&top_left_x=997)
The cables in Figure P6.7 have been dimensioned so that a 3-kip tension force develops in each vertical strand when the main cables are tensioned. What value of jacking force $T$ must be applied at supports $B$ and $C$ to tension the
What value of $\theta$ is associated with the minimum volume of cable material required to support the 100-kip load in Figure P6.6? The allowable stress in the cable is 150 kips/in. \({
Compute the support reactions and the maximum tension in the main cable in Figure P6.5. The hangers can be assumed to provide a simple support for the suspended beams.![](https://cdn.mathpix.com/cropped/2024_01_26_348197e740024fbc0a93g-2.jpg?height=410&width=867&top_left_y=351&top_left_x=112)P6.5
(b) Establish the cable sag at points $C$ and $D$.![](https://cdn.mathpix.com/cropped/2024_01_26_348197e740024fbc0a93g-1.jpg?height=441&width=699&top_left_y=1483&top_left_x=1178)P6.4
(a) Determine the reactions at supports $A$ and $E$ and the maximum tension in the cable in Figure
The cable in Figure P6.2 supports four simply supported girders uniformly loaded with $6 \mathrm{kips} / \mathrm{ft}$. (a) Determine the minimum required area of the main cable $A B C D E$ if the allowable stress is $60 \mathrm{kips} / \mathrm{in} .^{2}$. (b) Determine the cable sag at point
\title{PROBLEMS}\section*{Cables}Determine the reactions at the supports, the magnitude of the cable sag at joints $B$ and $E$, the magnitude of the tension force in each segment of the cable, and the total length of the cable in Figure
The following table lists the 25 largest U.S. higher education institutions according to enrollment figures from U.S. Department of Education. The state of location is given in parenthesis.
1. Suppose you have been asked to write a report for Southwest Airlines discussing and displaying their share of the U.S. airline market. In your research, you are able to obtain from the Bureau of Transportation Statistics the following information on the Number of Passengers Carried in a recent
1. 3M has developed a composite measure, a 3M™ Value Index Score, which provides a standard metric to assess accountable value in health care. This index score is a composite measure based on six critical primary care domains derived from 16 measures of key processes and outcomes that effect
Make a list of 20 people you know. Include men and women, various ages, various educational levels, and so on. Number the list and then use the random number list in Table 7.1 to select six people randomly from your list. How representative of the population is the sample? Find the proportion of
Use the random numbers in Table A.1 of Appendix A to select 10 of the companies from the 30 companies listed in Table 7.2. Compare the types of companies in your sample with the types in the population. How representative of the population is your sample? Table A.1 Table 7.2 12651 61646 11769
Use Table A.1 to select 20 three-digit random numbers. Did any of the numbers occur more than once? How is it possible for a number to occur more than once? Make a stem-and-leaf plot of the numbers with the stem being the left digit. Do the numbers seem to be equally distributed, or are they
Use a Kruskal-Wallis test to determine whether there is a significant difference between the four levels of Value of Industry Shipments on Number of Employees for the Manufacture database. Discuss the results.
Use the following decision table to complete parts (a) through (c).a. Draw a decision tree to represent this decision table.b. Compute the expected monetary values for each decision and label the decision tree to indicate what the final decision would be.c. Compute the expected payoff of perfect
Compute a Spearman’s rank correlation between New Capital Expenditures and End-of-Year Inventories in the Manufacture database. Is the amount spent annually on New Capital Expenditures related to the End-of-Year Inventories? Are these two variables highly correlated? Explain.
Using the Manufacturing database as a sample, construct a 95% confidence interval for the population mean number of production workers. What is the point estimate? How much is the error of the estimate? Comment on the results.
Using the International Stock Market database, develop a multiple regression model to predict the Nikkei by the DJIA, the Nasdaq, the S&P 500, the Hang Seng, the FTSE 100, and the IPC. Discuss the outcome, including the model, the strength of the model, and the strength of the predictors.
Develop a multiple regression model to predict Annual Food Spending by Annual Household Income and Non-Mortgage Household Debt using the Consumer Food database. How strong is the model? Which of the two predictors seems to be stronger? Why?
Use the Manufacturing database to develop a multiple regression model to predict Cost of Materials by Number of Employees, New Capital Expenditures, Value Added by Manufacture, Value of Industry Shipments, and End-of- Year Inventories. Create indicator variables for values of industry shipments
Construct a correlation matrix for the Hospital database variables. Are some of the variables highly correlated? Which ones and why? Perform a stepwise multiple regression analysis to predict Personnel by Control, Service, Beds, Admissions, Census, Outpatients, and Births. The variables Control and
Develop a regression model using the Financial database. Use Total Revenues, Total Assets, Return on Equity, Earnings per Share, Average Yield, and Dividends per Share to predict the average P/E ratio for a company. How strong is the model? Use stepwise regression to help sort out the variables.
Using the International Stock Market database, conduct a stepwise multiple regression procedure to predict the DJIA by the Nasdaq, the S&P 500, the Nikkei, the Hang Seng, the FTSE 100, and the IPC. Discuss the outcome of the analysis including the model, the strength of the model, and the
A dairy company in the Manufacturing database tests its quart milk container fills for volume in four-container samples. Shown here are the results of 10 such samples and the volume measurements in quarts. Use the information to construct both an x and an R chart for the data. Discuss the results.
A carpet and rug manufacturer in the manufacturing database is faced with the decision of making expenditures in the form of machinery in anticipation of strong growth or not making the expenditures and losing market opportunity. Experts claim that there is about a 40% probability of having strong
Suppose you are the CEO of a hospital in the hospital database. You are considering expansion of the physical facility. What are some decision alternatives to consider? What are some states of nature that can occur in this decision-making environment? How would you go about calculating the payoffs
Suppose you are the CEO of a company such as Procter & Gamble in the financial database. What are some decisions that you might make in which you would consider decision alternatives? Name three arenas in which you would be making substantial strategic decisions (e.g., marketing, finance,
The Zumper National Rent Report lists the average monthly apartment rent in various locations in the United States. According to their report, the average cost of renting a one-bedroom apartment in Houston is $1,090. Suppose that the standard deviation of the cost of renting a one-bedroom apartment
Using the international unemployment database, construct a stem-and-leaf plot for Italy. What does the plot show about unemployment for Italy over the past 40 years? What does the plot fail to show?
Develop a regression model using the Financial database. Use Total Revenues, Total Assets, Return on Equity, Earnings Per Share, Average Yield, and Dividends Per Share to predict the average P/E ratio for a company. How strong is the model? Which variables seem to be the best predictors?
Use the Manufacturing database to develop a multiple regression model to predict Cost of Materials by Number of Employees, New Capital Expenditures, Value Added by Manufacture, and End-of-Year Inventories. Discuss the results of the analysis.
Construct a correlation matrix for the six U.S. and international stock indicators. Describe what you find. That is, what indicators seem to be most strongly related to other indicators? Now focus on the three international stock indicators. Which pair of these stock indicators is most correlated?
Analyze all the variables except Type in the Financial database by using a correlation matrix. The seven variables in this database are capable of producing 21 pairs of correlations. Which are most highly correlated? Select the variable that is most highly correlated with P/E ratio and use it as a
Using the Hospital database, develop a regression model to predict the number of Personnel by the number of Births. Now develop a regression model to predict number of Personnel by number of Beds. Examine the regression output. Which model is stronger in predicting number of Personnel? Explain why,
Develop a regression model from the Consumer Food database to predict Annual Food Spending by Annual Household Income. Discuss the model and its strength on the basis of statistics presented in this chapter. Now develop a regression model to predict Non-Mortgage Household Debt by Annual Household
Discuss the following Minitab output. Analysis of Variance Adj ss Adj MS F-Value P-Value Source DF 138.0 Factor 3 46.0 3.51 0.034 Error 20 262.2 13.1 Total 400.3 23 Means Factor Mean StDev 95% CI 53.778 (6.2359, 6.4001) (6.2126, 6.3424) (6.4192, 6.5580) (6.1382, 6.3218) 1. 5.470 54.665 1.840 3.
The Consumer Food database contains data on Annual Food Spending, Annual Household Income, and Non-Mortgage Household Debt broken down by Region and Location. Using Region as an independent variable with four classification levels (four regions of the U.S.), perform three different one-way
The hospital database contains data on hospitals from seven different geographic regions. Let this variable be the independent variable. Determine whether there is a significant difference in Admissions for these geographic regions using a one-way ANOVA. Perform the same analysis using Births as
In the Manufacturing database, the Value of Industrial Shipments has been recoded into four classifications (1–4) according to magnitude of value. Let this value be the independent variable with four levels of classifications. Compute a one-way ANOVA to determine whether there is any significant
Do various financial indicators differ significantly according to type of company? Use a one-way ANOVA and the financial database to answer this question. Let Type of Company be the independent variable with seven levels (Apparel, Chemical, Electric Power, Grocery, Healthcare Products, Insurance,
Using the frequency feature of the computer software, determine the sample proportion of the Hospital database under the variable “service” that are “general medical” (category 1). From this statistic, construct a 95% confidence interval to estimate the population proportion of hospitals
The Financial database contains financial data on 100 companies. Use this database as a sample and estimate the earnings per share for all corporations from these data. Select several levels of confidence and compare the results.
Using the Hospital database, construct a 90% confidence interval to estimate the average census for hospitals. Change the level of confidence to 99%. What happened to the interval? Did the point estimate change?
Use the Hospital database and determine the proportion of hospitals that are under the control of nongovernment not-for-profit organizations (category 2). Assume that this proportion represents the entire population of all hospitals. If you randomly selected 500 hospitals from across the United
Let the Manufacturing database be the frame for a population of manufacturers to be studied. This database has 140 different SIC codes. Explain how you would take a systematic sample of size 10 from this frame. Examining the variables in the database, name two variables that could be used to
According to the International Data Corporation, HP is the leading company in the United States in PC sales with about 26% of the market share. Suppose a business researcher randomly selects 130 recent purchasers of PCs in the United States.a. What is the probability that more than 39 PC purchasers
From the Hospital database, it can be determined that some hospitals admit around 50 patients per day. Suppose we select a hospital that admits 50 patients per day. Assuming that admittance only occurs within a 12-hour time period each day and that admittance is Poisson distributed, what is the
Select the Agribusiness time-series database. Create a histogram graph for onions and for broccoli. Each of these variables is approximately normally distributed. Compute the mean and the standard deviation for each distribution. The data in this database represent the monthly weight (in thousands
The Consumer Food database contains a variable, Annual Food Spending, which represents the amount spent per household on food for a year. Calculate the mean and standard deviation for this variable that is approximately normally distributed in this database. Using the mean and standard deviation,
Use the Hospital database. What is the breakdown between hospitals that are general medical hospitals and those that are psychiatric hospitals in this database of 200 hospitals? In Service, 1 = general medical and 2 = psychiatric. Using these figures and the hypergeometric distribution, determine
1. Whole Foods Market has shown steady growth at a time when traditional supermarkets have been flat. This could be attributed to a growing awareness of and demand for more natural foods. According to a study by Mintel in 2006, 30% of consumers have a high level of concern about the safety of the
Use the Consumer Food database. What proportion of the database households are in the Metro area? Use this as the value of p in a binomial distribution. If you were to randomly select 12 of these households, what is the probability that fewer than 3 would be households in the Metro area? If you
International Housewares Association (IHA) reported that 73% of all U.S. households have ceiling fans. In addition, 77% of all U.S. households have an outdoor grill. Suppose 60% of all U.S. households have both a ceiling fan and an outdoor grill. A U.S. household is randomly selected.a. What is the
According to Nielsen Media Research, approximately 86% of all U.S. households have High-definition television (HDTV). In addition, 49% of all U.S. households own Digital Video Recorders (DVR). Suppose 40% of all U.S. households have HDTV and have DVR. A U.S. household is randomly selected.a. What
Use the Hospital database. Construct a cross-tabulation table for region and for type of control. You should have a 7 × 4 table. Using this table, answer the following questions. (Refer to Chapter 1 for category members.) What is the probability that a randomly selected hospital is in the Midwest
Using the Hospital database, construct a box-and-whisker plot for births. Thinking about hospitals and birthing facilities, comment on why the box-and-whisker plot looks like it does.
Using the Financial database, study earnings per share for Type 2 and Type 7 companies (chemical and petrochemical) using statistics. Compute a coefficient of variation for both Type 2 and Type 7. Compare the two coefficients and comment on them.
a. Using measures of central tendency including the mean, median, and mode, describe annual food spending and annual household income for the 200 households in the Consumer Food database. Compare the two results by determining approximately.b. What percentage of annual household income is spend on
1. In several countries of Africa, a common size for a Coke can is 340 milliliters (mL). Because of the variability of bottling machinery, it is likely that every 340-mL bottle of Coca-Cola does not contain exactly 340 milliliters of fluid. Some bottles may contain more fluid and others less.
What are the mean and the median amounts of new capital expenditures for industries in the Manufacturing database? Comparing the mean and the median for these data, what do these statistics tell you about the data?
According to Bureau of Transportation statistics, the largest five U.S. airlines in scheduled system-wide (domestic and international) enplanements in 2013 (passenger numbers in millions) were: Delta with 120.4, Southwest with 115.3, United with 90.1, American with 86.8 and US Airways with 57.0.
Study the Minitab-produced dot plot of the number of farms per state in the United States shown below. Comment on any observations that you make from the graph. What does this graph tell you about the number of farms per state? The average number of farms per state calculated from the raw data (not
Construct an ogive for the variable Type in the financial database. The 100 companies in this database are each categorized into one of seven types of companies. These types are listed at the end of Chapter 1. Construct a pie chart of these types and discuss the output. For example, which type is
Using the Consumer Food database, construct a histogram for the variable Annual Food Spending. How is the histogram shaped? Is it high in the middle or high near one or both ends of the data? Is it relatively constant in size across the class (uniform), or does it appear to have no shape? Does it
Using the manufacturer database, construct a frequency distribution for the variable Number of Production Workers. What does the frequency distribution reveal about the number of production workers?
In the Manufacturing database, what is the probability that a randomly selected SIC Code industry is in industry group 13? What is the probability that a randomly selected SIC Code industry has a value of industry shipments of 4 (see Chapter 1 for coding)? What is the probability that a randomly

Business Statistics For Contemporary Decision Making 9th edition Ken Black - Solutions

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