RES 342 Final solution Sample - All 54 questions answers - A++ (2)
RES 342 Final solution Sample - All 54 questions answers - A++ (2)
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Date Created: 11/11/15
RES/342 FINAL 1) A hypothesis test that involves a small sample requires that we make the following assumption that A. the region of acceptance will be wider than for large samples B. a larger computed value of t will be needed to reject the null hypothesis C. the confidence interval will be wider than for large samples D . the population is normally distributed 2) The statement that determines if the null hypothesis is rejected or not is called the A. test statistic B . decision rule C. alternate hypothesis D. critical value 3) The area of rejection, on a bell shaped curve, defines the location of all those values that are A. so small or so large that the probability of their occurrence under a false null hypothesis is rather remote B. within the selected confidence interval for the test C. so small or so large that the probability of their occurrence under a true null hypothesis is to be expected D . so small or so large that the probability of their occurrence under a true null hypothesis is rather slim 4) Doi Winery has two wine shops in the neighboring towns of Seamen and Batavia. The favorite wine, as advertised, is Raspberry wine. A survey of 300 customers at the Seamen store revealed that 225 individuals preferred the Raspberry wine while 290 out of 400 in Batavia preferred the same flavor. To test the hypothesis that there was no difference in preferences in the two towns, what is the alternate hypothesis? A. µ1 > µ2 B. µ1 < µ2 C. µ1 = µ2 D . µ1 ≠ µ2 5) The Roman Senate has become concerned about the loyalty of the army in Gaul commanded by Julius Caesar. They claim that, of the 80,000 men in the army, at least 28,000 are foreign barbarians. Caesar believes there are fewer barbarians, so the Senate should not worry. He polls one legion of 1,000 men and finds that 340 of them are barbarians. What is the test statistic for this hypothesis test? A . (0.34 0.35)/0.015 B. (0.350.34)/100 C. (0.35 0.34)/0.2275 D. (0.34 0.35)/0.063 6) In classical hypothesis testing, the test statistic is to the critical value what the ________________. A. critical value is to alpha B . p value is to alpha C. test statistic is to the pvalue D. level of significance is to the test statistic 7) Cake manufacturer Little Diva’s wants to increase the shelf life of its easytofix cupcake mixes. Company’s records indicate that the average shelf life of the mix is 230 days. A new, improved cupcake mix was developed and a sample of 10 boxes of the cupcake mix had these shelf lives (in days): 231, 233, 232, 233, 228, 231, 234, 229, 235, and 232. If the standard deviation was .67 and at the 0.025 significant level, has the shelf life of the cupcake mix increased? A. Yes, because computed t is less than the critical value. B . Yes, because computed t is greater than the critical value. C. No, because computed t lies in the region of acceptance. D. No, because 231.8 is quite close to 230. 8) When testing for differences between two means, the BehrensFisher problem arises when the sample populations are A . are normal with unequal variances. B. normal with equal variances. C. are nonnormal and have equal variances. D. are nonnormal and have unequal variances. 9) If the paired differences are normal in a test of mean differences, then the distribution used for testing is the A. ChiSquare B. normal distribution C . Student t distribution D. F distribution 10) One hundred women were polled and 60 reported successfully communicating an automobile problem to an auto repairman. A sample of 150 men had 95 reporting the same success. The value of the test statistic for a test of the equality of proportions is A. 0.729 3. B . 0.5319. C. 0.419. D. 0.270 2. 11) In a test for the equality of two variances (twotailed), when the populations are normal, a 5% level of significance was used. Sample sizes were n = 13 and n1 = 10. The up2er critical value for the test is A . =FINV(0.025, 12, 9). B. =FINV(0.05, 12, 9). C. =FINV(0.025, 13, 10). D. =FINV(10.025, 13, 10). 12) A recent study by College Stat Company reported a nationwide survey of college students determined that students spend 2 hours studying for each hour in the classroom. Professor Baker at State College wants to determine whether the time students spend at her college is significantly different from the national average of 2 hours. A random sample of 20 statistics students resulted in an average of 1.75 hours with a standard deviation of 0.24 hours. A ttest was conducted at the 5% level of significance. The calculated value of t was 4.03. What was Professor Baker decision? A. Fail to reject the null hypothesis. B. Cannot make a decision at this time; more data is required. C . Reject the null hypothesis, the test statistic exceeds the critical value. A. Fail to reject the null hypothesis. D. Reject the alternative hypothesis statement. 13) When is it appropriate to use the paired difference ttest? A. Any two samples are compared B . Two dependent samples are compared C. Four samples are compared at once D. Two independent samples are compared 14) Indy H2O is a water bottling company. They are looking at two different bottling manufacturers’ equipment for the purpose of replacing some old equipment. The net weights of a sample of bottles filled by a machine manufactured by WTR, and the net weights of a sample filled by a similar machine manufactured by Target are (in grams): WTR: 8, 9, 7, 8, 9, and 10 Target: 8, 10, 7, 11, 9, 12, 8, and 9 Testing the claim at the 0.05 level that the mean weight of the bottles filled by the Target machine is greater than the mean weight of the bottles filled by the WTR machine, what is the critical value? A. 2.1 45 B. 1.7 61 C. 2. 179 D . 1. 782 15) The owner of a bottling company is considering buying a new bottling machine. He has been testing two different machines that are being considered. After collecting 300 samples from each machine over several weeks, he was able to conduct a two sample z test.<p>He decided to utilize a 0.05 significant level for the test. The test was to address the claim that the mean weight of the bottles filled by the Orno machine was greater than the mean weight of the bottles filled by the Edne machine. The test statistics was 2.21. What is the decision regarding the hypothesis? A . Reject the null hypothesis; there is a significant difference. B. This is a two tail test and the critical value for the test is 1.96. C. There is not enough data available to answer the question. D. Accept the null hypothesis; there is not a significant difference. 16) A consumer researcher is testing the difference between two proportions at the 0.05 level of significance. The researcher was utilizing the z distribution for the test. If the computed test statistic z value was 1.12, what was the decision? A . Do not reject the null hypothesis. B. Reserve judgment. C. Reject the null hypothesis. D. Take a larger sample. 17) What is the critical value for a onetailed hypothesis test in which a null hypothesis is tested at the 5% level of significance based on two samples, both sample sizes are 13? A . 1. 711 B. 2.0 64 C. 1. 708 D. 2. 060 A . 1. 711 18) You are conducting a twotailed test of means, but your software package only calculates a onetailed pvalue equal to 0.13. The actual pvalue for your test is A. 0.065. B. You need a table to calculate this value. C. 0.13. D . 0.26. 19) The accountant for Thomas’s Furniture Store is concerned regarding the outstanding receivable owed the company. There has been a cash flow problem and it is believed that the slow collection of accounts receivable is partially the blame. The accountant believes that 40% of the present accounts are more than 4 months behind in making payments. To be able to make a decision regarding this belief, a random sample of 100 accounts was taken. It was found that 37 accounts were more than 4 months late. Did the sample data confirm the accountant’s belief? Use the .05 significant level for the statistical test. A. The accountant belief is not conferred. B. The accountant needed to take a larger sample. C. There is not enough evidence to confer or deny the belief. D . The accountant belief is conferred. 20) Watson’s TV claims that their televisions have the best performance record on the market. They advertise that after 3 years only 10% of their sold televisions have had any type of repairs. The president of the company wanted to confirm that this statement was correct. To do this, a sample of 60 sets was taken of sets that had been sold and were at least 3 years old. Twelve percent of these television sets had been in for repair. The null hypothesis is that there is no difference between the stated percent and the sample data. At the .05 significant level, what can we conclude about the null hypothesis? A . The data fails to reject the null hypothesis. B. The difference is too close to be able to decide. C. The null hypothesis is rejected and the difference is significant. D. The sample is too small to be able to decide. 21) A trolley system is being planned for the downtown area of Cincinnati, Ohio. To be able to proceed with this project, planners have indicated that at least 20% of the residents of the areas that would be covered need to support the idea. To determine the feelings of these city residents, a sample of 300 residents was taken. Seventeen percent of the sample responded that they would ride the trolley. Is this enough evidence for the project to proceed? Use the .05 level of significant. A. A ttest would be the best choice for the test. B. A decision cannot be made either yes or no. C . There is enough evidence; move forward with the project. D. There is not enough evidence to support the moving forward with the project. 22) Analysis of variance is used to A . compute t test B. simultaneously compare several population means C. compare nominal data D. compare population proportion 23) The F distribution is utilized with the ANOVA test. There are some basic assumptions associated with the distribution. Which of these assumptions is NOT valid? A. It is a continuous distribution. B. Its values cannot be negative. A. It is a continuous distribution. C . It is negatively skewed. D. There is a family of distributions. 24) Blake’s Mortgage Company utilizes four different appraisers for the purpose of determining the value of a house. There is a concern by the company’s owner that the appraisers are not providing the same estimates. She wants to determine if there is a difference between the four appraisers. Six houses were selected and each appraiser provided an appraisal for each of the six houses. What would be the best statistical test to use for the analysis of this data? A . KruskalWallis test B. An ANOVA C. A paired ttest D. Chi square test 25) Robinson, a large department store, wanted to example to look at which credit cards were being utilized for purchases. A sample of 18 credit card sales was taken and recorded. The amounts charged for each of three different credit cards, MasterCard, Visa, and Discover, were: six MasterCard sales, seven Visa sales, and five Discover sales. The store used an ANOVA to test if the mean sales for each credit card were equal. What are the degrees of freedom for the F statistic? A. 3 in the numerator, 18 in the denominator B. 6 in the numerator, 15 in the denominator C. 18 in the numerator, 3 in the denominator D . 2 in the numerator, 15 in the denominator 26) Totto, an automobile manufacturer, has designed a radically new engine and wants to recommend the grade of gasoline that will have the best fuel economy. The four grades are: regular, below regular, premium, and super premium. The test car made three trial runs on the test track using each of the four grades and the miles per gallon were recorded. At the 0.05 level, what is the critical value of F used to test the hypothesis that the miles per gallon for each fuel are the same? A. 1.9 6 B. 2.3 3 C. 12 .00 D . 4. 07 27) Each Christmas season there is a hot toy that everyone must have, especially if you are under the age of nine. This prized toy can be purchased at many different types of stores. A consumer group wanted to determine if there was a difference in price for the toy depending on where the toy was purchased. Is the price of this toy the same for the different stores or is there a difference? In the Cincinnati area there are three main stores of concern: WalMart, Meijer, and Toys R Us. Data was collected from different stores around the city. Prices will vary depending on the location of the store. The collected data is as follows (in dollars): WalMart Meijer Toys R Us 15 18 20 12 17 19 12 14 16 14 15 20 13 17 19 Conduct an ANOVA analysis of the data. Is there a significant difference between the three stores? A. The sample needs to be larger to be able to answer the question. B. A ttest would have been a better test. C . There is a significant difference between the three stores. D. There is not a significant difference between the three stores. 28) The chisquare has A. one distribution B . a family of distributions C. a uniform distribution D. two distributions 29) In the chisquared goodnessoffit test, if the expected frequencies e and the observedi frequencies f weri quite different, we would conclude that the [ID: 29826] A . null hypothesis is false, and we would reject it B. alternative hypothesis is false, and we would reject it C. chisquared distribution is invalid, and we would use the tdistribution instead D. null hypothesis is true, and we would not reject it 30) Of the values for a chisquared test statistic listed below, which one is most likely to lead to rejecting the null hypothesis in a goodnessoffit test? A . 45 B. 1.2 C. 0 D. 2.1 31) Rachael Smith is the personnel manager at Johnson and Johnston, an accounting firm. She is concerned about tardiness, which seems to be an increasing problem, especially after days off work. She decided to sample the records to determine if tardiness was distributed evenly throughout the 6day work week. The null hypothesis to be tested was: Tardiness is distributed evenly throughout the week. The 0.01 level was used as the significant level. The sample results were: Day of Week Number Absent Monday 12 Tuesday 9 Wednesday 11 Thursday 10 Friday 9 Saturday 9 What is the critical value of chisquare with a significant level of = 0.05? A. 11.0 70 B. 13.3 88 C . 15. 033 D. 12. 592 32) The city of Denver has several golf courses around the city. The Recreational Park manager is trying to set the schedule for the employees at these courses. His concern is that he wants to have enough staff to handle the daily demands but to not be overstaffed. He has concerns about the next year’s budget and is trying to curb expenses where possible. To be able to make a decision regarding staffing, he collected data regarding the number of rounds of golf played during the week. The weekend was excluded because the weekends are always very busy. He wanted to see if there was a significant difference between the days of the week in terms of rounds being played. If there was a difference, then he could use this information to help make staffing decisions. The result of the data collection is as follows: Day of Week Rounds Monday 150 Day of Week Rounds Tuesday 90 Wednesday 120 Thursday 100 Friday 140 What is the result of the statistical test? Can the manager’s staff schedule vary for different days of the week? Use the chi square distribution at the .05 significant level. A . Yes, there is a significant difference between days of the week. B. No, there is not a significant difference between days of the week. C. No, there is a significant difference between days of the week. D. Yes, there is no difference between days of the week. 33) The nonparametric counterpart of the randomized block model of the ANOVA is the A. KruskalWallis test B. Wilcoxon rank sum test C. Wilcoxon signed rank sum test D . Friedman test 34) The Big Toy House is a local company that specializes in selling children outdoor playhouses. With many businesses there is a certain amount of difficulty in collecting money on past due accounts. This has become a concern of the owner. A recent trade magazine indicated that the national averages for account receivable were: 65% current, 25% late, and 10% not collectable. A recent study of the company’s records indicated that 60 percent of the account receivable is current. Thirty percent of the accounts were late and the remaining 10% of receivable were viewed as being not collectable. To determine if his store was inline with the national average, the manager had a statistical analysis performed. The chi square test was selected for the analysis and the .05 significant level was used. The test statistics was X² = 6.725. What is the correct decision regarding this result? A. The distribution of Big Toy House receivables is inline with the national averages. B. The manager needs to not be concerned. C. The two distributions cannot be compared. D . The distribution of Big Toy House receivables is different than the national averages. 35) To determine whether four population means are equal, a sample from each population was selected at random and using the KruskalWallis test, H was computed to be 2.11. What is your decision at the 0.05 level of risk? A. Fail to reject the null hypothesis because 0.05 < 2.11 B. Reject the null hypothesis because 7.815 is > 2.11 C. Reject the null hypothesis because 2.11 > critical value of 1.96 D . Fail to reject the null hypothesis because 2.11 < 7.815 36) Corny’s Feed Company markets four different mixtures of feed for chickens. These feeds have different combinations of ingredients. One question that the manager is often asked by customers is if there is a difference between the four feeds in terms of weight gain. To be able to address this question an analysis was done of the four feeds. They contacted a local farmer to conduct a test regarding the four feeds. There were 28 chickens selected for the test. These chickens were divided into four groups, with each group receiving one of the feeds. The statistical test selected for the analysis was the KruskalWallis test and the .05 significant level was used for the test. The test result was H 4.65. This indicates that A. the feeds are different B. some of the feeds are different C . the feeds are the same D. the feeds need to be tested some more before a decision can be made 37) A simple linear regression generated a correlation coefficient of 0.01. This tells us that A . SSR is almost zero. B. the two variables barely relate to each other. C. we shall reject the null at less than a 5% significance level. D. SSE is almost zero. 38) What is the measure that indicates how precise a prediction of Y is based on X or, conversely, how inaccurate the prediction might be? A. Regression equation B . Standard error of estimate C. Least squares principle D. Slope of the line 39) What does a coefficient of correlation of 0.70 infer? A. Almost no correlation because 0.70 is close to 1.0 B . Coefficient of determination is 0.49 C. Coefficient of nondetermination is 0.30 D. 70% of the variation in one variable is explained by the other 40) A researcher was investigating the relationship between the variables grades in high school and grades in college. The investigator wanted to determine if a relationship existed and if so, to what extent. A regression analysis was perform on the data and the correlation value was r = .71. Based on this finding, which statement is correct? A. The researcher was able to explain about 71% of the variation in the problem by this variable. B . The researcher was able to explain about 50 percent of the variation in the problem by this variable. A. The researcher was able to explain about 71% of the variation in the problem by this variable. C. The researcher was able to explain about 80 percent of the variation in the problem by this variable. D. The researcher was able to explain about 36 percent of the variation in the problem by this variable. 41) What randomness exists in the linear regression model? A. The randomness from the explanatory variables, the X's B . The randomness from what is unexplained, the error C. None of these D. The randomness of the dependent variable, the Y's 42) Smith’s Appliances is evaluating its advertising budget. The owner is trying to decide if the budget needs to be altered or not. The question: Is there a positive return on the investment that is being made in advertising? What is the relationship between sales and the amount spent on advertising? The owner collected data for the past year by month. The data is in millions of dollars. Month Advertising Expense Sales Revenue January 2 4 February 3 5 March 3 6 April 5 8 May 6 8 June 4 7 July 5 7 August 6 8 September 7 9 October 8 10 November 10 13 December 9 11 Is there a relationship between the two variables? What is the coefficient of correlation for this data? A. Yes, 0.961 B. Yes, 0.892 C . Yes, 0.980 D. No, 0.457 43) Thomas and Thomas, a large plumbing company in Louisville, has a huge staff of plumbers that are utilized on contractual projects. Before a plumber is hired, an aptitude test must be taken and passed. After a plumber is hired they are evaluated on their performance. Each plumber receives a job performance score based on their individual production. The production manager wants to determine if there is a relationship between the performance score and the aptitude test score. Additionally, the manager wanted to investigate the influence that being a union member has on performance (coded as 1 union member and 0 nonmembers). An analysis of 20 plumbers was conducted. The resulting equation was Performance = 28.1 + 4.85 Aptitude + 20.5 Union. What is your interpretation of this analysis? A. These variables are not a good predictor of performance. B . Being a union member increases the typical performance by 20.5. C. The aptitude test is not a significant variable in this equation and needs to be eliminated as a variable. D. The company would be wise to discourage union membership. 44) The least squares regression equation is Y' = 1312 + 245X. When X = 5, what does Y' equal? A. 23 57 B. 15 57 A. 23 57 C. 4, 050 D . 25 37 45) The Actuarial Department of an insurance company was assigned the task of determining the relationship between the distance to a fire station and the amount of damage to a house. This is one factor that is utilized in determining the cost of insurance for a home owner. A sample of 35 claims was selected from last year. When the analysis was completed the following regression equation was the result. (X is the distance to a fire station and Y' is the amount of damage in thousands of dollars) Y' = 11.65 + 5.12X If a house was 10 miles from the fire station, what would be the best estimate of the cost of damages to the house? A. There is a direct relationship but it is weak. B. For every mile that the house is from the fire station, there is an 11.65 increase in cost. C . For every mile that the house is from the fire station, the damages to the house will increase by the factor 5.12. D. The damages to a house that is 10 miles from a fire station would be about $53,000. 46) Which of the following statements about multiple regression is TRUE? A. A multiple regression is called multiple because it has several data points. B. The total sum of squares in a regression model will never exceed the regression sum of squares. C. The coefficient of multiple determination is calculated by taking the ratio of the regression sum of squares over the total sum of squares and subtracting that value from 1. D . If we have taken into account all relevant explanatory factors, the residuals from a multiple regression should be random. A. A multiple regression is called multiple because it has several data points. 47) If there are four independent variables in a multiple regression equation, there are also four A. Yintercepts B . regression coefficients C. constant terms D. dependent variables 48) Conducting a multiple regression analysis, the residual analysis is used to test the requirement that A. the independent variables are the direct cause of the dependent variable B. the number of independent variables included in the analysis is correct C . the variation in the residuals is the same for all fitted values of Y ` D. prediction error is minimized 49) Given the trend equation Y' = 24 + 0.6t (base year = 2006), what would be the forecast value for 2010? A. 25 B . 27 C. 32 D. 31 50) If a quarterly seasonal index is 0.66, it implies that A. the quarter's sales are 6% above the yearly average B. the quarter's sales are 66% of the year total sales C . the quarter's sales are 66% of the yearly average D. the other three quarter percentages will total 34% 51) A time series is A. a set of measurements on a variable collected at the same time or approximately the same period of time. B . a set of measurements on a variable taken over some time period in chronological order. C. a model that attempts to forecast the future value of a variable. D. a model that attempts to analyze the relationship between a dependent variable and one or more independent variables. 52) An analysis of graduates from a local business college was performed to determine if there was a relationship between GPA and starting salary of recent graduates. It was believed that a higher GPA would result in a higher starting salary. The analysis of data collected from recent graduates produced the following correlation matrix. Salary GPA 0.902 Business 0.911 0.851 Which statement is correct regarding the interpretation of the analysis? A . The belief that there is a relationship between GPA and starting salary is correct. B. The belief that there is a relationship between GPA and starting salary is incorrect. C. GPA is explaining about 50% of the variation. A . The belief that there is a relationship between GPA and starting salary is correct. D. Nothing can be stated based on this data analysis. 53) The owner of a local construction company that specializes in outdoor structures desires to make a prediction regarding the next business year sales. Expansion of the business is one possible decision that could be made. It has been determined that the business needs to be at least $8 million dollars in annual sales before expansion could be considered. The following is data for the past 6 years. (Sales in millions of dollars.) Year Sales Year Sales 2004 7.45 2007 7.94 2005 7.83 2008 7.76 2006 8.07 2009 7.90 The statistical analysis of the data produced this least square trend equation. Y' = 7.634 + 0.05457t What should the owner's decision be regarding expansion in 2010? A. Cannot make a decision based on this data B. Expansion should be considered C. Expansion decision could go either way based on data D . Expansion should be delayed 54) Midwest State University Office of Registrar is reviewing the university’s enrollment for the past 10 years. It is know that there are seasonal variable that affects the university’s enrollment. To be better able to address business decisions that are affected by enrollment, an analysis of data was necessary. The school operates on a quarter system of enrollment starting typically with fall quarter and ending with summer quarter. The analysis of the data produced these four quarterly indexes. Fall Winter Spring Summer 1.2617 1.1896 1.040 0.4447 Which statement is correct based on this analysis? A. Summer quarter appears to be too low. B. Fall quarter needs to receive major attention to handle enrollment. C . Winter and spring quarters should be treated differently. D. The pattern is predictable and reasonable.
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