RES 342 Final solution Sample - All 54 questions answers - A++ (10)
RES 342 Final solution Sample - All 54 questions answers - A++ (10)
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Date Created: 11/11/15
1) If the decision is to reject the null hypothesis of no difference between two population parameters, z distribution at the .01 significant level, what is the correct statement of the alternate hypothesis and rejection region? A. µ1 ≠ µ2 ; z > 1.96 and z < negative 1.96 B. µ1 > µ2; z < negative 2.33 C. µ1 > µ2; z > 2.33 D. µ1 ≠ µ2 ; z > 2.58 and z < negative 2.58 2) 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. the confidence interval will be wider than for large samples C. the population is normally distributed D. a larger computed value of t will be needed to reject the null hypothesis 3) The normally distributed AAA battery life is stated to be 350 days when used in a clock radio. The Big Charge Battery Company has recently modified the AAA batteries so as to extent their life. The owner of the company wanted to know if the improved batteries really did last significantly longer. A sample of 100 of the improved batteries was tested. It was discovered that the mean life was 362 days and the sample standard deviation was 10 days. The research department decided to conduct the test at the 0.05 level of significance whether the modification actually increased the life of the AAA battery. What was their decision rule? A. Reject the null hypothesis if computed z is less than 1.96. B. Do not reject the null hypothesis if computed z is 1.65 or greater. C. Reject the null hypothesis if computed z is 1.96 or greater. D. Do not reject the null hypothesis if the z test statistics is 1.96 or A. Reject the null hypothesis if computed z is less than 1.96. greater. 4) In classical hypothesis testing, the test statistic is to the critical value what the ________________. A. critical value is to alpha B. test statistic is to the pvalue C. level of significance is to the test statistic D. pvalue is to alpha 5) A statistician was setting up a hypothesis test with a level of significance dictated by upper management. However, she was concerned that the test she wished to perform might have unacceptable large possibilities of Type II error, ß. Which of the following would solve this problem? A. Convince upper management to use a larger sample. B. Convince upper management to use a smaller pvalue. C. Convince upper management to reduce the level of significance of the test. D. Convince upper management to use a larger pvalue. 6) K & S Construction, located in Phoenix, Arizona, is working on its business plan for the upcoming year. They did a study to determine if they should focus on building condominiums or individual houses. A building study, which had been conducted by the state, indicated that 60 percent of those families looking to buy a home in Arizona desired to buy a condominium. K & S Construction wanted to know if this figure applied to Phoenix. They collected a sample of 500 individuals that had expressed plans to buy a new home. The zdistribution was selected for this proportion test. The null hypothesis is p = 0.60 and the alternate is p ≠ 0.60. The significant level selected was .05. From the sample of 500, it was determined that 290 wanted to buy a condominium. What decision should be made regarding the null hypothesis? A. Reject it B. Fail to reject it C. Cannot accept nor reject it based on the information given D. The test level of .05 is not acceptable 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) Thomas Delivery has a fleet of 24 trucks that are utilized for the companies; business. Electro Lite, a manufacturer of spark plugs, claims that its spark plugs have an average life in excess of 25,000 miles. The purchasing agent at Thomas Delivery purchased 24 sets and found that the sample average life was 26,300 miles, the sample standard deviation was 1,500 miles, and the computed test statistic was t = 3.423. Based on these findings, at the 0.05 level, is there enough evidence to accept the manufacturer's claim? A. ElectroLite claims cannot be supported or denied with the test results. B. ElectroLite claims are not supported by the test results. C. ElectroLite claims are just an advertising promotion. D. ElectroLite claims are supported; the spark plugs do exceed the mean of 25,000 miles. 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. 0.27 02. 11) Flash Jolt, a manufacturer of camera equipment, annually introduces new models in the fall of the year. At the conclusion of the Christmas season, retail dealers are contacted regarding their stock on hand of each piece of equipment. It has been discovered that unless 47% of the new equipment ordered by the retailers in the fall had been sold by Christmas, immediate production cutbacks are needed. At the end of the 2009 Christmas shopping season a survey of 100 dealers indicated that 45% of Flash Jolt equipment had been sold. It was decided to continue production levels at the current levels. The statistical test was conducted at the 0.05 level. Computed z = – 0.40. A. Correct decision, not a significant difference B. Wrong decision, should have cut back production C. Cannot determine based on information given D. The two percentage points be attributed to sampling A. Correct decision, not a significant difference error 12) Golf balls that are properly manufactured will have a rebound height of 42 inches when dropped by a testing machine from a height of 5 feet. The quality control inspector is concerned that a new manufacturing machine is not properly calibrated and that the resulting golf balls are falling short of the desired height. At random, 100 golf balls were selected for a test. The test results indicated that the rebound height was 41.6 inches with a standard deviation of 0.5. At the . 05 significant level, what is the result of the test? A. There is a significant difference; the golf balls are defected. B. There is no significant difference. C. A decision regarding a significant difference cannot be made. D. A larger test sample is needed. 13) 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. There is not enough data available to answer the question. C. Accept the null hypothesis; there is not a significant difference. D. This is a two tail test and the critical value for the test is 1.96. 14) 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 15) 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 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. A. Do not reject the null hypothesis. C. Reject the null hypothesis. D. Take a larger sample. 17) When testing for differences between two means, the BehrensFisher problem arises when the sample populations are A. are normal with unequal variances. B. are nonnormal and have unequal variances. C. normal with equal variances. D. are nonnormal and have equal variances. 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) 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. 20) New college business graduates are finding it difficult to get a job. A business journal has reported that only one in five graduates is able to find a job within 6 months of their graduation. A report by the University of Phoenix indicated that out of a survey of 300 recent business graduates, 75 had jobs. You are a business major at the University of Phoenix and have a concern about getting a job. Based on this data, will a graduate of the University of Phoenix have a better chance of getting a job in the first 6 months after graduation? Use the .05 significant level for the test. A. Cannot be predicted based on this data. B. The business journal information is incorrect. C. No, there is not a significant difference. D. Yes, there is a significant difference. 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. There is not enough evidence to support the moving forward with the project. C. There is enough evidence; move forward with the project. D. A decision cannot be made either yes or no. 22) 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. There is a family of distributions. C. It is negatively skewed. D. Its values cannot be negative. 23) Mr. Thomas owns three different restaurants in Cincinnati, Ohio. He is concerned about the profitability of the restaurants. There are monthly differences between the restaurants and he wants to determine if the differences in profit are significant. Mr. Thomas wants to do a statistical test to see if he should be concerned. The best test to address this problem would be A. to conduct two different t tests B. to conduct an ANOVA test C. to conduct a paired ttest D. to conduct a two sample test 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. Chi square test C. A paired ttest D. An ANOVA 25) In ANOVA analysis, when the null hypothesis is rejected, we can find which means are different by A. adding another treatment B. doing an additional ANOVA C. constructing confidence intervals D. doing a t test 26) If an ANOVA test is conducted and the null hypothesis is rejected, what does this indicate? A. No difference between the population means B. A difference between at least one pair of population means C. Too many degrees of freedom D. The variances are the same 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. There is not a significant difference between the three stores. B. A ttest would have been a better test. C. The sample needs to be larger to be able to answer the question. D. There is a significant difference between the three stores. 28) In the chisquared goodnessoffit test, if the expected frequencies ei and the observed frequencies fi were quite different, we would conclude that the [ID: 29826] A. null hypothesis is true, and we would not reject it B. alternative hypothesis is false, and we would reject it C. null hypothesis is false, and we would reject it D. chisquared distribution is invalid, and we would use the tdistribution instead 29) What nonparametric test is used when the assumptions for the parametric analysis of variance (ANOVA) cannot be met? Its purpose is to test whether three or more populations are equal. The data must be at least ordinal scaled. A. Kruskal Wallis B. Mann Whitney C. Students' t D. ANOVA 30) What are the assumptions required for nonparametric tests regarding the shape of the population distribution? A. The samples are independent. B. The populations have equal standard deviations. C. The distribution appears like a bellshaped curve. D. No assumptions are required. 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 10 Thursday Friday 9 Saturday 9 What is the critical value of chisquare with a significant level of = 0.05? A. 12.5 92 B. 13.3 88 C. 11. 070 D. 15. 033 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 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. Yes, there is no difference between days of the week. C. No, there is a significant difference between days of the week. D. No, there is not a significant difference between days of the week. 33) The nonparametric counterpart of the randomized block model of the ANOVA is the A. KruskalWallis test B. Friedman test C. Wilcoxon signed rank sum test D. Wilcoxon rank sum test 34) 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. the feeds need to be tested some more before a decision can be made C. the feeds are the same D. some of the feeds are different 35) Clermont Savings and Loan has four branches located throughout the county. The activity level at these four branches appears to be different but the manger needs verification. Turnover rate, how quickly money is withdrawn from an account after being deposited, was selected as the variable to be measured. A total sample of 22 accounts was collected from the four Branches. The KruskalWallis test, at the .01 significant level, was selected for the statistical analysis. The null hypothesis being tested was that the population distribution between the four branches is identical. The test statistics was H = 12.453. What is the correct interpretation of this result? A. The null hypothesis is accepted. B. The null hypothesis is rejected. C. More information is needed to be able to make a decision. D. A different test needs to be used for the analysis. 36) 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. Fail to reject the null hypothesis because 2.11 < 7.815 C. Reject the null hypothesis because 2.11 > critical value of 1.96 A. Fail to reject the null hypothesis because 0.05 < 2.11 D. Reject the null hypothesis because 7.815 is > 2.11 37) What is the range of values for a coefficient of correlation? A. 0 to +1.0 B. –3 to +3 inclusive C. Unlimited range D. –1.0 to +1.0 inclusive 38) Based on the regression equation, we can A. predict the value slope of the line B. predict the value of the dependent variable given a value of the independent variable C. measure the association between two variables D. predict the value of the independent variable given a value of the dependent variable 39) If the coefficient of multiple determination is 0.72, what percent of variation is not explained? A. 2 8% B. 8 5% C. 5 2% A. 2 8% D. 7 1% 40) The Golden Park and Recreation Department wants to determine a better way to estimate income at the various recreational centers. One relationship that was investigated was between family size and amount spent on recreation. The question was if smaller families spent less money than larger families. A regression analysis tool was selected to be used to address this question. Data was collected from 15 member families regarding what they spent each week on recreation. Their data was as follows: Family Size Amount Spent Family Size Amount Spent Family Size Amount Spent 4 $109 3 $101 3 $115 5 114 4 120 6 174 3 161 4 125 5 156 5 159 6 170 4 145 5 164 3 104 5 145 Compute the coefficient of correlation. A. .8 61 B. .6 81 C. . 618 D. . 463 41) 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 42) The Ohio Electric Company is investigating electric consumption by single family homes based on the number of rooms. The investigators wanted to determine the relationship between number of rooms and electric consumption in kilowatthours (thousands). A sample of 12 homes was selected and the data is as follows: Number of Rooms KilowattHours Number of Rooms KilowattHours 10 10 8 9 9 8 10 11 7 6 10 9 12 13 8 9 8 7 6 7 Number of Rooms KilowattHours Number of Rooms KilowattHours 11 12 5 6 What percent of the variation is explained by the variable, number of rooms? A. .9 01 B. .8 12 C. . 451 D. . 949 43) In the least squares equation, Y' = 12 + 25X the value of 25 indicates A. the Y intercept B. for each unit increase in X, Y increases by 25 C. the X factor D. for each unit increase in Y, X increases by 25 44) The least squares regression equation is Y' = 1312 + 245X. When X = 5, what does Y' equal? A. 23 57 B. 4, 050 C. 25 37 D. 15 57 45) If the coefficient of correlation is 0.69, the coefficient of determination is A. 0.83 06 B. 0.47 61 C. 0.6 898 D. 0.4 401 46) If the net regression coefficients in the population are significantly different from zero, what can be concluded? A. Very strong correlations exist among the variables. B. Good predictions are not possible. C. At least one of the net regression coefficients is not equal to zero. D. No relationship exists between the dependent variable and any of the independent variables. 47) If there are four independent variables in a multiple regression equation, there are also four A. Yintercepts B. constant terms C. dependent variables D. regression coefficients 48) In a multiple regression ANOVA table, explained variation is represented by A. the regression sum of squares B. the correlation matrix C. the regression coefficients D. the total sum of squares 49) If the least squares equation for Mary’s Clothing sales data from 2004 to 2008 is represented by the equation Y' = 12 + 1.1t (in $ millions). What is the value of t and the forecast for 2010? A. t = 6, y = 18.6 B. t = 10, y = 0.0 C. t = 7, y = 19.7 D. t = 1, y = 12.0 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 yearly average C. the other three quarter percentages will total 34% D. the quarter's sales are 66% of the year total sales 51) The following linear trend equation was developed for the annual sales of the Tractor Manufacturing Company. Y' = 355 + 50t (in $ thousands). How much are sales increasing by? A. $50,000 per year B. $6,000 per year C. $500,000 per year D. $5,000 per month 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. GPA is explaining about 50% of the variation. C. Nothing can be stated based on this data analysis. D. The belief that there is a relationship between GPA and starting salary is incorrect. 53) 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. Winter and spring quarters should be treated differently. C. The pattern is predictable and reasonable. D. Fall quarter needs to receive major attention to handle enrollment. 54) Big House Lumber Company, located in Dayton, Ohio, is preparing its annual business report. The manager has performed an analysis of the business annual sales starting in 2004 and concluding with 2009. This analysis produced an annual sales linear trend equation of Y' = 10.0989 + 0.14213t. The manager has been indicating to the company’s investors that sales in 2011 will exceed $11.5 million dollars. Is the manager statement accurate? A. The manager is providing the investors with a good prediction. B. The manager has interpreted the data correctly. C. The manager is in need of more information before making a prediction. D. The manager is overstating the annual sales.
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