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Question: What is the relationship between the price


What is the relationship between the price of crude oil and the price you pay at the pump for gasoline? The file Oil & Gasoline contains the price ($) for a barrel of crude oil (Cushing, Oklahoma,
spot price) and a gallon of gasoline (U.S. average conventional spot price) for 236 weeks ending July 5, 201 9.
Source: Data extracted from www.eia.gov.
a. Construct a scatter plot with the price of oil on the horizontal axis and the price of gasoline on the vertical axis.
b. Use the least-squares method to develop a simple linear regression equation to predict the price of a gallon of gasoline using the price of a barre l of crude oil as the independent variable.
c. Interpret the meaning of the slope, b1, in this problem.
d. Plot the residuals versus the time period.
e. Compute the Durbin-Watson statistic.
f. At the 0.05 level of significance, is there evidence of positive autocorrelation among the residuals?
g. Based on the results of (d) through (f), is there reason to question the validity of the model?
h. What conclusions can you reach concerning the relationship between the price of a barrel of crude oil and the price of a gallon of gasoline?


> In Example 5.4, you and two friends decided to go to Wendy's. Now, suppose that instead you go to Burger King, which recently filled approximately 90.9% of orders correctly. What is the probability that; a. all three orders will be filled correctly? b. n

> In the last quarter of 2018, 47% of U.S. smartphone owners owned an iPhone. Source: Data extracted from pewrsr.ch/2riDGV6. Using the binomial distribution, what is the probability that of the next six Americans who own a smartphone surveyed, a. four will

> CarMD reports that the mean repair cost of a Toyota in 2018 for a "check engine" light was $482. Source:www.carmd.com/wp/vehicle-health-index-introduction/2018-carmdmanufacturer-vehicle-rankings Suppose a sample of 100 "check engine" light repairs comple

> In Problem 9.44, what is your statistical decision if tSTAT = - 3.15? Data from Problem 9.44: In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the critical value of the tSTAT test statistic with 20 degrees of freedom at

> In Problem 9 .40, what is the statistical decision if you test the null hypothesis at the 0.05 level of significance? Data from Problem 9.40: In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if ZSTAT = + 1.38

> In Example 5.4, you and two friends decided to go to Wendy's. Now, suppose that instead you go to McDonald's, which recently filled approximately 92.9% of the orders correctly. What is the probability that; a. all three orders will be filled correctly? b

> You are working as an assistant to the dean of institutional research at your university. The dean wants to survey members of the alumni association who obtained their baccalaureate degrees five years ago to learn what their starting salaries were in the

> In Problems 9.18 and 9.19, what are the critical values of t if the level of significance, α, is 0.05 and the alternative hypothesis, H1, is µ, ≠ 50? Data from Problem 9.19: In Problem 9. 18, how many degrees of freedom does the t test have? Data from

> In Problem 9. 18, how many degrees of freedom does the t test have? Data from Problem 9.18: If, in a sample of n = 16 selected from a normal population, X = 56 and S = 12, what is the value of tSTAT if you are testing the null hypothesis H0: µ, = 50?

> If, in a sample of n = 16 selected from a normal population, X = 56 and S = 12, what is the value of tSTAT if you are testing the null hypothesis H0: µ, = 50?

> Are small and mid-sized business (SMB) owners concerned about limited access to money affecting their businesses? A sample of 150 female SMB owners and 146 male SMB owners revealed the following results: If a SMB owner is selected at random, what is the

> One operation of a steel mill is to cut pieces of steel into parts that are used in the frame for front seats in an automobile. The steel is cut with a diamond saw and the resulting parts must be cut to be within ± 0.005 inch of the length specified by t

> The file Fast Casual contains the amount that a sample of 15 customers spent for lunch ($) at a fast-food restaurant: a. At the 0.05 level of significance, is there evidence that the mean amount spent for lunch is different from $6.50? b. Determine the p

> A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labelled as 8 ounces, the company wants the packages to contain a mean of 8.15 ounces so that virtually none of the packages

> What is the difference between the geometric mean and the geometric rate of return?

> If, in a sample of n = 160 selected from a left-skewed population, X = 65, and S = 21, would you use the t test to test the null hypothesis H0: µ, = 60? Discuss.

> If, in a sample of n = 16 selected from a left-skewed population, X = 65, and S = 21, would you use the t test to test the null hypothesis H0: µ, = 60? Discuss.

> How do the boxplots for distributions of varying shapes differ?

> If you use a 0.05 level of significance in a two-tail hypothesis test, what is your decision rule for rejecting a null hypothesis that the population mean equals 500 if you use the Z test?

> In Problems 9.18, 9.19, and 9.20, what is your statistical decision if the alternative hypothesis, H1, is µ, # 50? Data from Problem 9.20: In Problems 9.18 and 9.19, what are the critical values of t if the level of significance, α, is 0.05 and the alte

> The file Fast Casual contains the amount that a sample of 15 customers spent for lunch ($) at a fast casual restaurant: a. Construct a 95% confidence interval estimate for the population mean amount spent for lunch ($) at a fast casual restaurant. b. Int

> The following table, stored in Energy Sources, contains the 2018 sources of electricity in the United States as reported by the Energy Information Administration. a. Construct a Pareto chart. b. What percentage of power is derived from coal, nuclear, or

> If X = 75, S = 24, and n = 36, and assuming that the population is normally distributed, construct a 95% confidence interval estimate for the population mean, µ.

> Is there a difference in the yields of different types of investments? The file CD Rates contains the yields for a one-year certificate of deposit (CD) and a five-year CD sold by 46 financial institutions in Lake Worth, Florida, as of April 5, 2019. Sour

> The Super Bowl, watched by close to 200 million Americans, is also a big event for advertisers. The file Super Bowl Ad Ratings contains the rating of ads that ran between the opening kick-off and the final whistle. Source: Data extracted from www.admeter

> How much time do commuters living in or near cities spend commuting to work each week? The file Commuting Time contains the average weekly commuting time in 30 U.S. cities. Source: Data extracted from Office of the New York City Comptroller, "NYC Economi

> The file Work Hours Needed contains the average number of hours worked necessary to afford the cost for three people to attend an NBA game, inclusive of parking and food and beverage costs, at each of the 30 NBA arenas during a recent season. a. Calculat

> Facebook's stock price in 2017 increased by 75.8%, and in 2018, it decreased by 25.7%. a. Compute the geometric mean rate of return per year for the two-year period 2017-2018. b. If you purchased $1,000 of Facebook stock at the start of 2017, what was it

> Why does widening the confidence interval (thereby making it less precise) increase confidence for a given sample size, n?

> How can you determine whether there is an interaction in the two-factor factorial design?

> Suppose that you are going to collect a set of data, either from an entire population or from a random sample taken from that population. a. Which statistical measure would you compute first: the mean or the standard deviation? Explain. b. What does your

> What are the properties of a set of numerical data?

> Do upload and download speeds vary between cities and Internet service providers? The file Internet Provider Speeds contains the upload and download speeds in Mbps in 40 different cities for four Internet service providers, AT&T, T-Mobile, Sprint, and Ve

> What is meant by the concept of interaction in a two-factor factorial design?

> Under what conditions should you use the two-way ANOVA F test to examine possible differences among the means of each factor in a factorial design?

> What is the difference between the one-way ANOVA F test and the Levene test?

> When and how should you use multiple comparison procedures for evaluating pairwise combinations of the group means?

> What is the difference between sampling error and measurement error?

> Panera Bread is a restaurant chain that features gourmet casual breakfast, lunch, and brunch, a growing niche in the restaurant industry. Suppose that the mean per-person check for breakfast at Panera Bread is approximately $9.50. a. Assuming a standard

> What is the difference between unstacked and stacked variables?

> The Super Bowl is a big viewing event watched by close to 200 million Americans that is also a big event for advertisers. The file Super Bowl Ad Ratings contains the rating of ads that ran between the opening kickoff and the final whistle. Source: Data e

> Under what conditions should you use the one-way ANO VA F test to examine possible differences among the means of c independent populations?

> What is your decision in Problem 9.4 if ZSTAT = - 2.81? Data from Problem 9.4: If you use a 0.0 l level of significance in a two-tail hypothesis test, what is your decision rule for rejecting H0: µ, = 12.5 if you use the Z test?

> Do upload and download speeds vary between cities and Internet service providers? The file Internet Provider Speeds contains the upload and download speeds in Mbps in 40 different cities for four Internet service providers, AT&T, T-Mobile, Sprint, and Ve

> What is the difference between an interval scaled variable and a ratio scaled variable?

> What is the difference between a nominal scaled variable and an ordinal scaled variable?

> What is the difference between a discrete numerical variable and a continuous numerical variable?

> A freshly brewed shot of espresso has three distinct components: the heart, body, and crema. The separation of these three components typically lasts only 10 to 20 seconds. To use the espresso shot in making a latte, a cappuccino, or another drink, the s

> A mail-order catalog business that sells personal computer supplies, software, and hardware maintains a centralized ware house for the distribution of products ordered. Management is currently examining the process of distribution from the warehouse and

> How does conditional probability relate to the concept of independence?

> What is the difference between mutually exclusive events and collectively exhaustive events?

> How can you use the general addition rule to find the probability of occurrence of event A or B?

> A survey of 1,520 American adults asked, "Do you feel overloaded with too much information?" The results indicate that 134 of 304 females feel information overload compared to 651 of 1,216 males. Source: Data extracted from " Information Overload," bit.l

> The file CD Rates contains the yields for a one-year certificate of deposit (CD) and a five-year CD for 46 banks listed for West Palm Beach, Florida on April 5, 2019. Source: Data extracted from www.Bankrate.com, April 5, 2019. For each type of investmen

> The Super Bowl is a big viewing event watched by close to 200 million Americans, so it is also a big event for advertisers. The file Super Bowl Ad Ratings contains the rating of ads that ran between the opening kick-off and the final whistle. Source: Dat

> Profitability remains a challenge for banks and thrifts with less than $2 billion of assets. The business problem facing a bank analyst relates to the factors that affect return on average assets (ROAA), an indicator of how profitable a company is relati

> What are the differences between a priori probability, empirical probability, and subjective probability?

> An Ipsos poll asked 1,004 adults, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 9% of males and 14% of females answered window tinting. Source: lpsos,

> If X = 85, σ = 8, and n = 64, construct a 95% confidence interval estimate for the population mean, µ.

> Consider the following payoff table: For this problem, P(E1) = 0.8, P(E2) = 0.1, P(E3) = 0.1, P (FI £ 1) = 0.2, P (FI £ 2) = 0.4, and P (FI £ 3) = 0.4. Suppose you are informed that event F occurs. a. Revise the pro

> Are gasoline prices higher during the height of the summer vacation season than at other times? The file Gas Prices contains the mean monthly prices (in $/gallon) for unleaded gasoline in the United States from January 2006 to July. Source: Data extracte

> The data in Target are quarterly revenues (in $millions) for Target from 2000-Q l through 2019-QI. Source: Data extracted from ycharts.com/companies/TGT/revenues. a. Do you think that the revenues for Target are subject to seasonal variation? Explain. b.

> Refer to the exponential model given in Problem 16.42. a. What is the fitted value of the series in the fourth quarter of 2018? b. What is the fitted value of the series in the first quarter of 2018? c. What is the forecast in the fourth quarter of 2019?

> In forecasting a monthly time series over a five-year period from January to December 2018, the exponential trend forecasting equation for January is Take the antilog of the appropriate coefficient from this equation and interpret the a. Y intercept, b^0

> What are the distinguishing features of the completely randomized design and two-factor factorial designs?

> Thirty companies comprise the DJIA. How big are these companies? One common method for measuring the size of a company is to use its market capitalization, which is computed by multiplying the number of stock shares by the price of a share of stock. On A

> The file Gold contains the price in London for an ounce of gold (in US$) at the end of each quarter from 2004. Source: Data extracted from USAGold, "Daily Gold Price History," bit.ly/2w8iBSl. a. Plot the data. b. Develop an exponential trend forecasting

> The file Silver-Q contains the price in London for an ounce of silver (i n US$) at the end of each quarter from 2004 through 2018. Source: Data extracted from USAGold, "Daily Silver Price History," bit.ly/20BoVuB. a. Plot the data. b. Develop an exponent

> The file Crude Oil contains the volume (in barrels) of Canadian crude oil exports by rail from January 2012 to May 2019. Source: Data extracted from National Energy Board, "Canadian Crude Oil Exports by Rail - Monthly Data," bit.ly/IRJTx6c. a. Plot the t

> Using the bonuses paid to workers on Wall Street data for Problem 16.12 and Problem 16.28 (stored in Bonuses). a. Performs a residual analysis for each model. b. Compute the standard error of the estimate (Syx) for each model. c. Compute the MAD for each

> Referring to the results for Problem 16. 13 that used the file GDP, a. Performs a residual analysis. b. Compute the standard error of the estimate (Srx). c. Compute the MAD. d. On the basis of (a) through (c), are you satisfied with your linear trend for

> Using the data for the number of automobiles assembled in the United States for Problem 16.17 and Problem 16.29 (stored in Auto Production), a. Performs a residual analysis for each model. b. Compute the standard error of the estimate (Srx) for each mode

> Using the data for Problem 16.15 that represent the number of new, single-family houses sold in the United States from 1992 through 2018 (stored in House Sales), a. fit a third-order autoregressive model to the new single-family homes sold and test for t

> Using the yearly amount of solar power generated by utilities (in millions of kWh) in the United States from 2002 through 2018 data for Problem 16.16 (stored in Solar Power), a. fit a third-order autoregressive model to the amount of solar power installe

> Using the average baseball salary from 2000 through 2019 data for Problem 16.18 (stored in MLB Salaries), a. fit a third-order autoregressive model to the average baseball salary and test for the significance of the third-order autoregressive parameter.

> Using the data for Problem 16.17 concerning the number of automobiles assembled in the United States from 1999 to 2018 (stored in Auto Production), a. fit a third-order autoregressive model to the number of automobiles assembled in the United States and

> The Super Bowl is a big viewing event watched by close to 200 million Americans, so it is also a big event for advertisers. The file Super Bowl Ad Rating contains the rating of ads that ran between the opening kick-off and the final whistle. Source: Data

> In a one-way ANOVA, what is the difference between the among-groups variance MSA and the within-groups variance MSW?

> Using the data for Problem 16.12 concerning the bonuses paid to workers on Wall Street from 2000 to 2018 (stored in Bonuses), a. Fit a third-order autoregressive model to the bonuses paid and test for the significance of the third-order autoregressive pa

> Referring to Problem 10.2, if n1 = 5 and n2 = 4, at the 0.01 level of significance, is there evidence that µ1 > µ2? Data from Problem 10.2: Assume that you have a sample of n1 = 8 with the sample mean X1 = 42, and a sample standard deviation S1 = 4, and

> Referring to Problem 10.2, if n1 = 5 and n2 = 4, how many degrees of freedom do you have? Data from Problem 10.2: Assume that you have a sample of n1 = 8 with the sample mean X1 = 42, and a sample standard deviation S1 = 4, and you have an independent s

> Referring to Problem 10.2, construct a 95% confidence interval estimate of the population mean difference between µ1 and µ2. Data from Problem 10.2: Assume that you have a sample of n1 = 8 with the sample mean X1 = 42, and a sample standard deviation S1

> What assumptions about the two populations are necessary in Problem 10.2? Data from Problem 10.2: Assume that you have a sample of n1 = 8 with the sample mean X1 = 42, and a sample standard deviation S1 = 4, and you have an independent sample of n2 = 15

> Assume that you have a sample of n1 = 8 with the sample mean X1 = 42, and a sample standard deviation S1 = 4, and you have an independent sample of n2 = 15 from another population with a sample mean of X2 = 34 and a sample standard deviation S2 = 5. a. W

> How will marketers change their organic (unpaid) social media postings in the near future? A survey by Social Media Examiner reported that 65% ofB2B marketers (marketers who focus primarily on attracting businesses) plan to increase LinkedIn organic soci

> A box of nine iPhone 7 cell phones contains two red cell phones and seven black cell phones. a. If two cell phones are randomly selected from the box, without replacement (the first cell phone is not returned to the box after it is selected), what is the

> Financial experts say retirement accounts are one of the best tools for saving and investing for the future. Are millennials and Gen Xers financially prepared for the future? A survey of American adults conducted by INSIDER and Morning Consult revealed t

> In 2017, the per capita consumption of soft drinks in the United States was reported to be 37.5 gallons. Source: Data extracted from Shop Tutors, Inc., bit.ly/2S4xWzg. Assume that the per capita consumption of soft drinks in the United States is approxim

> Suppose that 1,000 customers in an online electronics seller's customer database are categorized by three customer types: 200 potential customers who have visited the site but not purchased, 300 who have purchased once, and 200 repeat (loyal) buyers. A s

> If P(A) = 0.7, P(B) = 0.6, and A and Bare independent, find P (A and B).

> Consumers are aware that companies share and sell their personal data in exchange for free services, but is it important to consumers to have a clear understanding of a company's privacy policy before signing up for its service online? According to an Ax

> Is there full support for increased use of educational technologies in higher ed? As part of Inside Higher Ed's 2018 Survey of Faculty Attitudes on Technology, academic professionals, namely, full-time faculty members and administrators who oversee their

> Are small and mid-sized business (SMB) owners concerned about limited access to money affecting their businesses? A sample of 150 female SMB owners and 146 male SMB owners revealed the following results: a. If a SMB owner selected is female, what is the

> A time-series plot often helps you determine the appropriate model to use. For this problem, use each of the time series presented in the following table and stored in Time Series B. a. Plot the observed data Y over time X and plot the logarithm of the o

> Although you should not expect a perfectly fitting model for any time-series data, you can consider the first differences, second differences, and percentage differences for a given series as guides in choosing an appropriate model. For this problem, use

> The data in CPI-U reflect the annual values of the consumer price index for all urban consumers (CPI-U) in the United States over the 54-year period 1965 through 2018, using 1982 through 1986 as the base period. This index measures the average change in

> The file Silver contains the following prices in London for an ounce of silver (in US$) on the last day of the year from 1999 to 2018: a. Plot the data. b. Compute a linear trend forecasting equation and plot the trend line. c. Compute a quadratic trend

> In 2017, the per capita consumption of bottled water in China was reported to be 25.46 gallons. Source: Data extracted from IBWA, "Bottled Water Market," bit.ly/2Jlmynt. Assume that the per capita consumption of bottled water in China is approximately no

> The average salary of Major League Baseball players on opening day from 2000 to 2019 is stored in MLB Salaries and in the following table. a. Plot the data. b. Compute a linear trend forecasting equation and plot the trend line. c. Compute a quadratic tr

> The file Auto Production contains the number of automobiles assembled in the United States (in thousands) from 1999 to 2018. Source: Data extracted from FRED, "Domestic Auto Production," bit.ly/2KH.KCpz. a. Plot the data. b. Compute a linear trend foreca

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