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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 customers;would rate the quality of cars differently that were manufactured in the U.S., Europe, or Japan. To;conduct this test, a sample of 20 individuals was asked to look at mid- range model cars made in;each of the three countries. The individuals in the sample were then asked to provide a rating for;each car on a scale of 1 to 1000. The following computer output resulted, and the tests were;conducted using a significance level equal to 0.05.;Anova: Two- Factor Without Replication;SUMMARY;Count;3;3;3;3;3;3;3;3;3;3;3;3;3;3;3;3;3;3;3;3;Sum;2473.08;2411.911;2495.924;2494.92;2487.995;2351.078;2319.392;2373.183;2350.24;2416.553;2479.895;2393.605;2245.545;2361.247;2418.24;2379.708;2494.709;2389.693;2358.984;2273.107;Average;824.36;803.9705;831.9748;831.64;829.3318;783.6925;773.1308;791.0609;783.4132;805.5178;826.6317;797.8684;748.515;787.0824;806.08;793.2361;831.5696;796.5643;786.3279;757.7023;Variance;740.996;1120.791;2958.509;489.802;1129.897;443.6333;4450.131;468.4032;2173.944;1200.471;905.5771;382.9982;11513.88;1364.083;1147.566;3115.073;3092.78;5503.197;6874.581;15.62739;20;20;20;15708.57;16453.12;15807.32;785.4287;822.6558;790.366;1867.925;1841.004;2408.399;ANOVA;Source of Variation;Rows;Columns;Error;SS;34378.73;16352.4;81831.48;df;19;2;38;Total;132562.6;59;1;2;3;4;5;6;7;8;9;10;11;12;13;14;15;16;17;18;19;20;US;Germany;Japan;MS;1809.407;8176.198;2153.46;F;0.840232;3.796773;Based 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.;1;P- value;0.649989;0.031385;F crit;1.867331;3.244821;1);2) The State Transportation Department is thinking of changing its speed limit signs. It is considering;two new options in addition to the existing sign design. At question is whether the three sign;designs will produce the same mean speed. To test this, the department has conducted a limited;test in which a stretch of roadway was selected. With the original signs up, a random sample of 30;cars was selected and the speeds were measured. Then, on different days, the two new designs;were installed, 30 cars each day were sampled, and their speeds were recorded. Suppose that the;following summary statistics were computed based on the data;x 1 = 62.1;x 2 = 58.94;2);x 3 = 71.2;The appropriate test to conduct to determine if the population means are equal is;A) one- way analysis of variance;B) 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 considering;two new options in addition to the existing sign design. At question is whether the three sign;designs will produce the same mean speed. To test this, the department has conducted a limited;test in which a stretch of roadway was selected. With the original signs up, a random sample of 30;cars was selected and the speeds were measured. Then, on different days, the two new designs;were installed, 30 cars each day were sampled, and their speeds were recorded. Suppose that the;following summary statistics were computed based on the data;x 1 = 62.1;SST = 6016;x 2 = 58.94;x 3 = 71.2;Based 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.;2;3);4) A two- factor analysis of variance is conducted to test the effect that price and advertising have on;sales of a particular brand of bottled water. Each week a combination of particular levels of price;and 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 affect;sales;B) There is interaction between price and advertising, so the above results conclusively show;that both factors affect price;C) There is no interaction between price and advertising, so results for individual factors may be;misleading;D) There is interaction between price and advertising, so the above results for individual factors;may be misleading;5) A national car rental company recently conducted a study recently in which cars with automatic;and standard transmissions (factor ASample) were rented to male and female customers (factor B;Columns). Three customers in each category were randomly selected and the miles driven per;day was recorded as follows;5);Based on the design of this study, how many degrees of freedom will be associated with the mean;square for factor A?;A) 2;B) 3;C) 8;D) 1;6) In a randomized complete block design analysis of variance, how many factors are there to be;analyzed?;A) Depends on the sample size in each treatment;B) Two factors;C) One factor, but multiple levels;D) Can't be determined without additional information.;3;6);7) A test is conducted to compare three difference income tax software packages to determine;whether there is any difference in the average time it takes to prepare income tax returns using the;three different software packages. Ten different people's income tax returns are done by each of the;three 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, the;Fisher'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 mean;number of bushels of peaches per acre is the same or different depending on the type of tree that is;used. He also thinks that production may be affected by the type of fertilizer that is used. To test, he;has set up a test in which a one- acre plot of peach trees with a combination each of 5 varieties and 3;fertilizer types are studied. The following data reflect the number of bushels of peaches on each;acre plot.;Fertilizer A;Fertilizer B;Fertilizer C;Tree Type 1 Tree Type 2 Tree Type 3 Tree Type 4 Tree Type 5;300;400;200;500;400;150;200;100;150;200;300;300;400;200;500;Assuming that the hypothesis tests will be conducted using an alpha equal 0.05 level, which of the;following is true?;A) Based on the data, the grower can conclude that there is a difference in mean production of;peaches across the different types of tree.;B) The grower was justified in controlling for the fertilizer type since the test shows that blocking;was effective.;C) The total sum of squares is approximately 4,570,900.;D) A, B and C are all true.;4;8);9) To test the mileage efficiency of three new car models, random samples of various sample sizes;were selected from each of the three cars and the mpg data obtained are shown below.;Model A;37;33;36;38;Model B;43;39;35;38;40;9);Model C;28;32;33;Based on the sample date, one can conclude that;A) 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 considering;two new options in addition to the existing sign design. At question is whether the three sign;designs will produce the same mean speed. To test this, the department has conducted a limited;test in which a stretch of roadway was selected. With the original signs up, a random sample of 30;cars was selected and the speeds were measured. Then, on different days, the two new designs were;installed, 30 cars each day were sampled, and their speeds were recorded. Suppose that the;following summary statistics were computed based on the data;x 1 = 62.1;SST = 6016;x 2 = 58.94;10);x 3 = 71.2;Based on these sample results and a significance level equal to 0.05, assuming that the null;hypothesis 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 examined;B) The frequencies computed from H1;12);C) The frequencies computed from H0;D) The frequencies found in the population being examined;13) What does the term expected cell frequencies refer to?;A) The frequencies computed from H0;13);B) The frequencies found in the sample being examined;C) The frequencies found in the population being examined;D) the frequencies computed from H1;5;14) A cell phone company wants to determine if the use of text messaging is independent of age. The;following data has been collected from a random sample of customers.;Under 21;21 - 39;40 and over;Regularly use text;messaging;82;57;6;14);Do not regularly;use text messaging;38;34;83;To conduct a contingency analysis using a 0.01 level of significance, the value of the critical value;is;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. The;following data has been collected from a random sample of customers.;Under 21;21 - 39;40 and over;Regularly use text;messaging;82;57;6;15);Do not regularly;use text messaging;38;34;83;Based on the data above what is the expected value for the "under 21 and regularly use text;messaging" cell?;A) 120;B) 82;C) 58;D) 50;16) 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 whether;the 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 plans;to test this using an alpha level equal to 0.05, which of the following is the appropriate alternative;hypothesis?;A) Ho: 1 = 2 = 3 = 4;B) 1 = 2 = 3 = 4;17);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 columns;B) Total number of cell minus 1;C) When df are equal to rows minus 1 multiplied by columns minus 1;D) When df are equal to rows multiplied by columns;18);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 4;C) 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) 7;B) 6;C) 12;D) 5

Paper#20405 | Written in 18-Jul-2015

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