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##### UST 404 STUDY GUIDE PROBLEMS

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Question;Use the data in the;box below to calculate the range and variance.Note:For these exercises our calculations of variance will use N ?;1 in the denominator.;5;6;2;8;7;6;6;12;6;5;4;5;1) Range;2) Variance;Find the range and;variance for the following sets of data;Set A: 9, 6, 7, 4, 6, 4, 8, 7, 6, 3;3) Range;4) Variance;Set B: 9, 4, 18, 1, 16, 2, 17, 4, 15, 4;5) Range;6) Variance;Set C: 2, 30, 28, 5, 9, 20, 6, 11, 20, 9 (for this set;calculate the standard deviation as well);7) Range;8) Variance;9) Standard deviation;For the table below;calculate the mode, mean, interquartile range and standard deviation.;Frequency;Percent;Valid percent;Cumulative percent;Valid 0;1;2;3;4;5;6;56;311;422;282;183;95;67;4.0;22.0;29.8;19.9;12.9;6.7;4.7;4.0;22.0;29.8;19.9;12.9;6.7;4.7;4.0;25.9;55.7;75.6;88.6;95.3;100.0;Total;1416;100.0;100.0;10) Mode;11) Mean;12) Interquartile range;13) Standard deviation;Exercise 2;Remember, probability is always expressed as (p =.xx). Do;not answer in percentage form if the question asks for probability.;1) What is the probability of rolling either a 5 or a 4 with;a die that has nine sides;2) Four people are sitting on a couch. Two are wearing red;shirts, one is wearing a blue shirt, and one is wearing a green shirt. What is;the probability of a person with a red shirt being the next one to get up and;walk out the door.;3) Seventeen people are sitting in a room. Fifteen of them;are female, and two are male. If we randomly select two people (without;replacement), what is the probability that they will be both female?;Use the table below;to answer questions 4-6.;FREQUENCY;PERCENT;VALID %;CUMULATIVE %;Valid;Extremely;Liberal;Liberal;Slightly;Liberal;Moderate;Slightly;Conservative;Conservative;Extremely;Conservative;16;94;119;312;129;127;22;1.9;10.9;13.9;36.3;15.0;14.8;2.6;2.0;11.5;14.5;38.1;15.8;15.5;2.7;2.0;13.4;28.0;66.1;81.8;97.3;100.0;Missing;Total;DK;NA;819;34;6;95.3;4.0;.7;100;Total;40;859;4.7;100.0;4) What is the probability of randomly selecting a;respondent who claims to be ?extremely conservative??;5) What is the probability of randomly selecting a respondent;who is more conservative than ?moderate??;6) What is the probability of randomly selecting two;respondents, the first one being ?moderate? and the second being extremely;conservative??;Suppose the city of Knoxville, Tennessee, has an average July;temperature of 87 degrees (F) with a standard deviation of 4 degrees. This;information was gathered over the past 100 years. Calculate the z-scores for;the next two July temperatures if those temperatures are equal to the following;(the mean and standard deviation do not change).;7) 84;8) 92;A normal distribution of the number of parking tickets BSG students;receive in a typical semester shows a mean of 2.5 with a standard deviation of;.6. Calculate the z-score for the number of parking tickets below.;9) 2 tickets;Two people, one in Los Angeles and one in New York, take the Graduate;Record Entrance exam. These were different exams, but we would like to compare;their scores. The person in Los Angeles received a 647 while the average was;640 with a standard deviation of 20. The person in New York received a 570;while the average was 560 with a standard deviation of 25. First, calculate the;z-score for each person, then indicate who scored higher;after standardizing the scores;10) Person 1 (los Angeles);11) Person 2 (New York);12) Which person scored higher, New York or, Los Angeles?;Suppose the college is trying to decide whether to build more parking;lots on campus. They decide to count the number of cars in BSC parking lots at;2:00 in the afternoon. They count the number for 15 straight days and find the;number of cars takes the shape of a normal distribution with a mean of 670 and;a standard deviation of 49. By calculating the z-scores and using the z table;determine the following probabilities;13) A day with less than 624 cars;14) A day with less than 780

Paper#62129 | Written in 18-Jul-2015

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