IVC/Spring 2016/Econ 10/MGT 10/ Pehlivan/ Exam 3 Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Consider the partially completed one-way ANOVA summary table. Source Between Within Total Sum of Squares 270 810 Degrees of Freedom Mean Sum of Squares 1) F 18 21 The total number of observations for this ANOVA procedure is A) 20. B) 18. C) 21. D) 22. 2) Consider the partially completed one-way ANOVA summary table. Source Between Within Total Sum of Squares 270 810 Degrees of Freedom Mean Sum of Squares 2) F 18 21 The degrees of freedom for the sum of squares between for this ANOVA procedure is A) 2. B) 1. C) 3. D) 4. TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. 3) Analysis of variance is a technique used to conduct a hypothesis test to compare three or more population proportions simultaneously. 3) 4) A level in an ANOVA test accounts for the variation outside of the main factor. 4) 5) All analysis of variance procedures require that the observations are either ordinal or interval data. 5) 6) The total sum of squares (SST) measures the amount of variation between each data value and the grand mean. 6) 1 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 7) Nintendo Sony would like to test the hypothesis that a difference exists in the average age of users of a Wii, a PlayStation, or an Xbox console game. The following data represent the age of a random sample of Wii, PlayStation, and Xbox users. Wii 37 31 47 29 36 PlayStation 26 21 24 24 25 Xbox 31 20 38 31 30 The total sum of squares for these observations is ________. A) 652.6 B) 594.7 C) 736.0 D) 881.5 8) AutoTrader.com would like to test if a difference exists in the age of three different types of vehicles currently on the road--trucks, cars, and vans. The following data represent the age of a random sample of trucks, cars, and vans. Trucks 12 8 9 11 Cars 8 7 10 7 7) 8) Vans 3 7 6 8 The mean square between for these observations is________. A) 16.0 B) 2.0 C) 4.7 D) 5.5 TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. 9) The Tukey-Kramer multiple comparisons procedure allows us to examine each pair of sample means and to conclude whether or not their respective sample means differ for a one-way ANOVA. 9) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 10) Consider the partially completed randomized block ANOVA summary table. Source Between Block Error Total Sum of Squares 600 750 2,150 Degrees of Freedom 3 5 Mean Sum of Squares 10) F 23 The sum of squares block for this ANOVA procedure is _____. A) 930 B) 980 C) 1,150 2 D) 800 11) Consider the partially completed randomized block ANOVA summary table. Source Between Block Error Total Sum of Squares 600 750 2,150 Degrees of Freedom 3 5 Mean Sum of Squares 11) F 23 The mean square between for this ANOVA procedure is _____. A) 410 B) 50 C) 200 D) 160 12) In Delaware, cars are inspected each year using state-operated inspection centers. The Wilmington center has three drive-through lanes where cars are inspected in a sequence of steps. The following data show the number of minutes that a random sample of drivers spent waiting and having their cars inspected in the three lanes each day of the week. Day Monday Tuesday Wednesday Thursday Friday Lane 1 36 19 26 38 41 Lane 2 35 30 32 49 41 12) Lane 3 37 20 23 30 35 The state of Delaware would like to perform a randomized block ANOVA to test for a difference in the average times the drivers spend in the three lanes using the weekday as a blocking factor with = 0.05. The mean square block for these observations is ________. A) 148.9 B) 174.4 C) 135.0 D) 162.6 13) Consider the partially completed two-way ANOVA summary table. Source Factor B Factor A Interaction Error Total Sum of Squares 600 144 384 1,288 Degrees of Freedom 2 Mean Sum of Squares 13) F 200 12 23 The sum of squares for Factor B for this ANOVA procedure is ____. A) 370 B) 160. C) 300 D) 400 TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. 14) In a two-way ANOVA procedure, there are two hypotheses to be testedthe test for Factor A and the test for factor B. 3 14) 15) For two-way ANOVA, we partition the total sum of squares (SST) into the sum of squares for Factor A (SSFA), the sum of squares for Factor B (SSFB), the sum of squares interaction (SSAB), and the sum of squares error (SSE). 15) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 16) Wells Fargo Bank would like to determine if a difference exists in the average credit score between residents of the states of Texas, Alaska, and Iowa and also investigate if age plays a role in credit score. The credit scores from a random sample of residents from each state was recorded and residents were categorized as being under 40 years old or 40 years and older. A two-way ANOVA was conducted using = 0.05 with Factor A assigned the state residence and Factor B assigned the age group. The results are shown below. The Tukey-Kramer critical range for Factor A using = 0.05 is ________. A) 36.00 B) 41.30 C) 55.60 4 D) 48.50 16) TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. 17) When performing a hypothesis test to compare two or more population proportions, the expected frequencies must always be integer values. 17) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 18) The ________ frequencies refer to the frequencies that are most likely to occur if the null hypothesis is true when performing a hypothesis test comparing two or more population proportions. A) expected B) observed C) cumulative D) relative 18) 19) Nationwide Insurance would like to perform a chi-square test to investigate whether a difference exists in the proportion of male and female teenagers who text while they drive. A random sample of 80 male teenagers found that 50 indicated they texted while driving. A random sample of 120 female teenagers found that 65 indicated they texted while driving. The expected frequency of female teenagers who text is ________. A) 65 B) 69 C) 55 D) 51 19) 20) When performing a hypothesis test to compare two or more population proportions, the test statistic follows the ________. A) Student's t-distribution B) normal distribution C) F-distribution D) chi-square distribution 20) 21) The Department of Transportation would like to investigate if a difference exists in the proportion of flights that arrive on-time between Alaska Airlines, Delta Airlines, Southwest Airlines, and United Airlines. The following data represent the number of on-time flights from random samples taken from each airline. 21) Number On-time Sample Size Alaska 90 100 Delta 95 120 Southwest 85 100 United 60 80 The expected frequency of on-time flights from the Southwest sample is ________. A) 66 B) 99 C) 90 D) 82.5 TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. 22) The null hypothesis for a chi-square goodness-of-fit test always states that the stated distribution is followed. 5 22) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 23) The following data represent the discrete probability distribution for the number of stars that reviewers gave a first edition statistics reference book. Stars Probability 5 25% 4 35% 3 20% 2 10% 23) 1 10% The second edition of this reference book has been released and a random sample of people that have purchased the book has been collected with the following results. Stars Frequency 5 28 4 28 3 13 2 6 1 5 The publisher would like to know if the probability distribution for reviews has changed from the first edition to the second edition using = 0.025. The critical value for this hypothesis test is ________. A) 5.991 B) 9.448 C) 11.143 D) 7.815 24) A manufacturer of smartphone batteries will randomly select 20 batteries from the process each day and count the number of defects. Historically, 4% of the batteries produced by this company have been defective. The following data represent the frequency of defective batteries from a random sample of 200 days. Number of Defective 0 1 2 3 or more 24) Frequency 85 63 35 17 The manufacturer would like to test if the probability distribution for defective batteries follows the binomial distribution with p = 0.04 and n = 20 using = 0.05. The expected number of days from this sample that 3 or more batteries from the batch of 20 are defective is ________. A) 71.70 B) 15.08 C) 75.48 D) 37.74 TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. 25) A dependent variable, x, explains the variation in another variable, which is called the independent variable, y. 25) 26) A scatter plot is a useful tool to examine the data before conducting correlation analysis. 26) 27) The values of the correlation coefficient range between -1.0 and +1.0. 27) 6 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 28) The table below shows the number of cars sold last month by seven employees at Concord Motors and their number of years of sales experience. Experience 1 2 2 4 5 6 8 Sales 8 6 7 14 9 13 10 The correlation coefficient for this data is ________. A) -0.251 B) 0.744 C) 0.360 D) 0.553 29) Sarah is the office manager for a group of financial advisors who provide financial services for individual clients. She would like to investigate whether a relationship exists between the number of presentations made to prospective clients in a month and the number of new clients per month. The following table shows the number of presentations and corresponding new clients for a random sample of six employees. Employee 1 2 3 4 5 6 28) Presentations 7 9 9 10 11 12 29) New Clients 2 3 4 3 5 3 The correlation coefficient for this data is ________. A) 0.516 B) 0.403 C) 0.323 D) 0.167 TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. 30) If two variables have a correlation coefficient equal to -0.60 from a sample size of 5, we can conclude that the population correlation coefficient is less than zero using = 0.05. 30) 31) The line that best fits the ordered pairs using the least squares method is called the residual line. 31) ^ 32) Given a regression equation of y = 15.6 - 3.8x, a one-unit increase in the independent variable would result in an average increase of 3.8 for the dependent variable. 32) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. ^ 33) The formula for the equation describing a straight line is y = b0 + b1x. The value for b0 in this equation represents the _________. A) y-intercept of the straight line C) predicted value of y given a value of x B) slope of the straight line D) independent variable 7 33) 34) The table below shows the number of cars sold last month by seven employees at Concord Motors and their number of years of sales experience. Experience 1 2 2 4 5 6 8 34) Sales 8 6 7 14 9 13 10 Management would like to use simple regression analysis to estimate monthly car sales using the number of years of sales experience. The y-intercept for the regression equation is ________. A) 2.165 B) 6.940 C) 4.598 D) 8.337 35) The ________ measures the amount of dispersion of observed data around a regression line. A) coefficient of determination B) standard error of the estimate C) correlation coefficient D) standard error of the slope 35) 36) Costco sells paperback books in their retail stores and wanted to examine the relationship between price and demand. The price of a particular novel was adjusted each week and the weekly sales were recorded in the table below. 36) Sales 3 4 6 10 8 10 Price $12 $11 $10 $9 $8 $7 Management would like to use simple regression analysis to estimate weekly demand for this novel using the price of the novel. The standard error of the estimate is ________. A) 1.76 B) 3.30 C) 1.38 D) 1.09 ^ 37) The variable y represents the ________ in the regression model. 37) A) residual B) value of the dependent variable C) predicted value for the dependent variable D) value of the independent variable 38) The test statistic for testing the significance for the regression coefficient follows the _______. A) Student's t-distribution B) chi-square distribution C) F-distribution D) normal distribution 8 38) 39) The National Basketball Association (NBA) would like to develop a multiple regression model that would predict the number of wins for a team during the season. The following independent variables were considered for the model: field goal percentage (X1), free throw percentage (X2), turnovers per game (X3), rebounds per game (X4), and steals per game (X5). The following regression model was chosen using a data set of team statistics: 39) ^ y = -276.8949 + 6.0284x 1 - 6.8230x 3 + 3.348x 4 The first team from the data set had the following values: Wins = 56 Field goal percentage = 48.6% Free throw percentage = 77.0% Turnovers per game = 14.6 Rebounds per game = 38.8 Steals per game = 8.2 The residual for this team is ________. A) 9.6 B) -3.1 C) 7.0 D) -5.2 TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. 40) One of the assumptions for the multiple regression model is that the residuals have a constant variance. 40) ESSAY. Write your answer in the space provided or on a separate sheet of paper. Use the information below to answer the following question(s). The table below shows the number of interceptions thrown during the season by seven randomly selected National Football League teams and the number of games those teams won during the season. Wins 3 6 11 14 10 8 8 Interceptions 28 19 16 6 9 25 11 41) Use the NFL team data to calculate the total sum of squares, sum of squares error, and sum of squares regression. 9 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 42) The following distribution shows the frequency distribution of the number of shots a particular NBA player blocked in one game for a random sample of 100 games. Blocked Shots per Game 0 1 2 3 4 5 6 Frequency 0 14 35 36 10 2 3 You have been assigned the task to test if the distribution of blocked shots per game for this player follows the Poisson distribution using = 0.05. The sample mean for this distribution is ________. A) 3.47 B) 2.60 C) 3.12 D) 2.20 10 42)