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##### BUSA 208 - Business Stats Homework

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Question;MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.1) A major consumer group recently undertook a study to determine whether automobile customerswould rate the quality of cars differently that were manufactured in the U.S., Europe, or Japan. Toconduct this test, a sample of 20 individuals was asked to look at mid- range model cars made ineach of the three countries. The individuals in the sample were then asked to provide a rating foreach car on a scale of 1 to 1000. The following computer output resulted, and the tests wereconducted using a significance level equal to 0.05.Anova: Two- Factor Without ReplicationSUMMARYCount33333333333333333333Sum2473.082411.9112495.9242494.922487.9952351.0782319.3922373.1832350.242416.5532479.8952393.6052245.5452361.2472418.242379.7082494.7092389.6932358.9842273.107Average824.36803.9705831.9748831.64829.3318783.6925773.1308791.0609783.4132805.5178826.6317797.8684748.515787.0824806.08793.2361831.5696796.5643786.3279757.7023Variance740.9961120.7912958.509489.8021129.897443.63334450.131468.40322173.9441200.471905.5771382.998211513.881364.0831147.5663115.0733092.785503.1976874.58115.6273920202015708.5716453.1215807.32785.4287822.6558790.3661867.9251841.0042408.399ANOVASource of VariationRowsColumnsErrorSS34378.7316352.481831.48df19238Total132562.6591234567891011121314151617181920USGermanyJapanMS1809.4078176.1982153.46F0.8402323.796773Based upon the data, which of the following statements is true?A) The primary null hypothesis should not be rejected.B) Blocking was effective.C) The averages for the 20 people are not all the same.D) Blocking was not effective.1P- value0.6499890.031385F crit1.8673313.2448211)2) The State Transportation Department is thinking of changing its speed limit signs. It is consideringtwo new options in addition to the existing sign design. At question is whether the three signdesigns will produce the same mean speed. To test this, the department has conducted a limitedtest in which a stretch of roadway was selected. With the original signs up, a random sample of 30cars was selected and the speeds were measured. Then, on different days, the two new designswere installed, 30 cars each day were sampled, and their speeds were recorded. Suppose that thefollowing summary statistics were computed based on the data:x 1 = 62.1x 2 = 58.942)x 3 = 71.2The appropriate test to conduct to determine if the population means are equal is:A) one- way analysis of varianceB) three sample t- test.C) Hartley's F- max test.D) randomized complete block analysis of variance.3) The State Transportation Department is thinking of changing its speed limit signs. It is consideringtwo new options in addition to the existing sign design. At question is whether the three signdesigns will produce the same mean speed. To test this, the department has conducted a limitedtest in which a stretch of roadway was selected. With the original signs up, a random sample of 30cars was selected and the speeds were measured. Then, on different days, the two new designswere installed, 30 cars each day were sampled, and their speeds were recorded. Suppose that thefollowing summary statistics were computed based on the data:x 1 = 62.1SST = 6016x 2 = 58.94x 3 = 71.2Based on these sample results and significance level equal to 0.05, the sum of squares between is:A) approximately 1,215.B) approximately 2,430.C) approximately 3,586.D) None of the above.23)4) A two- factor analysis of variance is conducted to test the effect that price and advertising have onsales of a particular brand of bottled water. Each week a combination of particular levels of priceand advertising are used and the sales amount is recorded. The computer results are shown below.4)Based on the results above and a 0.05 level of significance, which of the following is correct?A) There is no interaction between price and advertising, and both factors significantly affectsalesB) There is interaction between price and advertising, so the above results conclusively showthat both factors affect priceC) There is no interaction between price and advertising, so results for individual factors may bemisleadingD) There is interaction between price and advertising, so the above results for individual factorsmay be misleading5) A national car rental company recently conducted a study recently in which cars with automaticand standard transmissions (factor ASample) were rented to male and female customers (factor BColumns). Three customers in each category were randomly selected and the miles driven perday was recorded as follows:5)Based on the design of this study, how many degrees of freedom will be associated with the meansquare for factor A?A) 2B) 3C) 8D) 16) In a randomized complete block design analysis of variance, how many factors are there to beanalyzed?A) Depends on the sample size in each treatmentB) Two factorsC) One factor, but multiple levelsD) Can't be determined without additional information.36)7) A test is conducted to compare three difference income tax software packages to determinewhether there is any difference in the average time it takes to prepare income tax returns using thethree different software packages. Ten different people's income tax returns are done by each of thethree software packages and the time is recorded for each. The computer results are shown below.7)Assuming that the hypothesis tests are conducted using a significance level equal to 0.05, theFisher's LSD value for multiple comparisons is:A) about 0.91.B) approximately 1.91.C) approximately 0.4985.D) about 0.5387.8) A large orchard owner in the state of Washington is interested in determining whether the meannumber of bushels of peaches per acre is the same or different depending on the type of tree that isused. He also thinks that production may be affected by the type of fertilizer that is used. To test, hehas set up a test in which a one- acre plot of peach trees with a combination each of 5 varieties and 3fertilizer types are studied. The following data reflect the number of bushels of peaches on eachacre plot.Fertilizer AFertilizer BFertilizer CTree Type 1 Tree Type 2 Tree Type 3 Tree Type 4 Tree Type 5300400200500400150200100150200300300400200500Assuming that the hypothesis tests will be conducted using an alpha equal 0.05 level, which of thefollowing is true?A) Based on the data, the grower can conclude that there is a difference in mean production ofpeaches across the different types of tree.B) The grower was justified in controlling for the fertilizer type since the test shows that blockingwas effective.C) The total sum of squares is approximately 4,570,900.D) A, B and C are all true.48)9) To test the mileage efficiency of three new car models, random samples of various sample sizeswere selected from each of the three cars and the mpg data obtained are shown below.Model A37333638Model B43393538409)Model C283233Based on the sample date, one can conclude thatA) at least two car models have different mpgs.B) Model C has a higher mpg than Model A.C) all three car models have the same mean mpg.D) None of the above.10) The State Transportation Department is thinking of changing its speed limit signs. It is consideringtwo new options in addition to the existing sign design. At question is whether the three signdesigns will produce the same mean speed. To test this, the department has conducted a limitedtest in which a stretch of roadway was selected. With the original signs up, a random sample of 30cars was selected and the speeds were measured. Then, on different days, the two new designs wereinstalled, 30 cars each day were sampled, and their speeds were recorded. Suppose that thefollowing summary statistics were computed based on the data:x 1 = 62.1SST = 6016x 2 = 58.9410)x 3 = 71.2Based on these sample results and a significance level equal to 0.05, assuming that the nullhypothesis of equal means has been rejected, the Tukey- Kramer critical range is:A) 1.96.B) approximately 4.0.C) Can't be determined without more information.D) None of the above.11) Consider a goodness- of- fit test with a computed value of chi- square = 1.273 and a critical value =13.388, the appropriate conclusion would be to:A) take a smaller sample.B) take a larger sample.C) fail to reject H0.11)D) reject H0.12) What does the term observed cell frequencies refer to?A) The frequencies found in the sample being examinedB) The frequencies computed from H112)C) The frequencies computed from H0D) The frequencies found in the population being examined13) What does the term expected cell frequencies refer to?A) The frequencies computed from H013)B) The frequencies found in the sample being examinedC) The frequencies found in the population being examinedD) the frequencies computed from H1514) A cell phone company wants to determine if the use of text messaging is independent of age. Thefollowing data has been collected from a random sample of customers.Under 2121 - 3940 and overRegularly use textmessaging8257614)Do not regularlyuse text messaging383483To conduct a contingency analysis using a 0.01 level of significance, the value of the critical valueis:A) 11.0705.B) 9.2104.C) 15.0863.D) 5.9915.15) A cell phone company wants to determine if the use of text messaging is independent of age. Thefollowing data has been collected from a random sample of customers.Under 2121 - 3940 and overRegularly use textmessaging8257615)Do not regularlyuse text messaging383483Based on the data above what is the expected value for the "under 21 and regularly use textmessaging" cell?A) 120B) 82C) 58D) 5016) Which of the following is NOT one of the assumptions required by the randomized block design?A) The populations have equal means.B) The observations within samples are independent.C) The populations are normally distributed.D) The data measurement must be interval or ratio level.16)17) A hotel chain has four hotels in Oregon. The general manager is interested in determining whetherthe mean length of stay is the same or different for the four hotels. She selects a random sample of n= 20 guests at each hotel and determines the number of nights they stayed. Assuming that she plansto test this using an alpha level equal to 0.05, which of the following is the appropriate alternativehypothesis?A) Ho: 1 = 2 = 3 = 4B) 1 = 2 = 3 = 417)18) How can the degrees of freedom be found in a contingency table with cross- classified data?A) When df are equal to rows minus columnsB) Total number of cell minus 1C) When df are equal to rows minus 1 multiplied by columns minus 1D) When df are equal to rows multiplied by columns18)19) Which of the following is an assumption for the one- way analysis of variance experimental design?A) The populations have equal variances.B) All populations are normally distributed.C) The observations are independent.D) All of the above.19)D) Ho: 1 2 3 4C) Not all population means are equal.20) When testing for independence in a contingency table with 3 rows and 4 columns, there are________ degrees of freedom.A) 7B) 6C) 12D) 5

Paper#53348 | Written in 18-Jul-2015

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