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##### Business Statistics I CQMS102 - Test 1

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Question;Business Statistics I CQMS102;- Test 1;REVIEW;PROBLEMS;Question1.In a survey the respondent is asked to report the;amount of income tax paid in 2010. The scale of measurement used is;a);Nominal;b);Interval;c);Ratio;d);Ordinal;e);None;of the above;Question2. Consider the;following questions being asked on a survey. What is the measurement scale of;the response data?;(a);Ordinal;(b);Nominal;(c);Interval;(d);Ratio ? Discrete;(e);Ratio - Continuous;1) What;was the rating of the hotel that you last stayed in?;a);Dissatisfied;b);Somewhat Dissatisfied;c);Somewhat satisfied;d);Satisfied;e);Very good;2) What;is your marital status? 1=Married;2=Common Law, 3=Widowed, 4=Divorced, 5=Single;3) What;is the major that you are studying?;a);Math;b);Physics;c);Chemistry;d);Biology;e);History;4) What;is the postal code?;5) Which;letter grade did you get on your Chemistry course last term?;6) What;is the color of your eyes?;7) What;is the color of your car?;8) Where;is your hometown?;9) How many;courses are taking this term?;10) How;much time do you spend on shopping each week?;11) What was the lowest temperature in in the city you are living last month?;12) How;many children do you intend to have?;13) How many languages can you speak?;14) Which language is your native language?;15) Where;were you born?;16) What;is your weight?;17) How long does it take for you to walk from;your home to Ryerson?;18);NOTE;Questions 3 ? 4 are based on the following information.;The following data represents the heights (m);for a sample of 11 boys at age 12.;1.38, 1.43, 1.25, 1.47, 1.29, 1.54, 1.37, 1.25;1.53, 1.45, 1.29;Question3.If you were to construct a stem-and-leaf;display using the rules discussed in lectures for the above data, how many;stems should your final stem-and-leaf display have?;a);7 b) 8 c) 6 d) 9 e) None;of these;Question4.Based on the stem-and-leaf display (using the;rules discussed in lectures) for the above data, how many leaves would there be;on the second stem of your stem-and-leaf;display?;a);4 b) 0 c) 2 d) 3 e);None of these;NOTE;Questions 5 - 8 are based on the following information.;The following data represents the heights;(m) for a sample of 12 boys at age 12.;1.38, 1.43, 1.25;1.47, 1.29, 1.54, 1.37, 1.25, 1.53;1.45, 1.29, 1.41;Question5.If you were to construct a frequency;distribution using the rules discussed in lectures for the above data, what;would the class width (in thousand dollars) be?;a) 1.0 b) 0.05 c) 0.50 d) 0.10 e) 0.025;Question6.If you were to construct a frequency;distribution using the rules discussed in lectures for the above data, how many;classes are there in the frequency distribution?;a);4 b) 5 c) 8;d) 6;e) 10;Question7.Based on the frequency distribution using the;rules discussed in lectures for the above data, what is the relative frequency;of the fourthclass? (The answers;provided below are rounded to three decimal places).;a);0.250 b) 0.333 c) 0.375 d);0.167 e);None of these;Question8.Based on the frequency distribution using the;rules discussed in lectures for the above data, what is the cumulative;percentage of up to and including the third;class? (The;answers provided below are rounded to two decimal places).;a);16.67% b) 33.33% c) 50.00% d);46.67% e) None of these;Use;the following data for questions 9 to 11 inclusive.;The following table;represents the distribution of the income ($1000) in 2011 for a sample of households;in Toronto.;Table 1;Income ($1000);Number of households;20 and under 30;37;30 and under 40;22;40 and under 50;45;50 and under 60;5;60 and under 70;20;70 and under 80;11;80 and under 90;15;Question9.The cumulative relative frequency of the households;in this sample, whose incomes in 2011 are lower than $70,000, is;a);12.9% b) 16.8% c) 73.5% d) 83.2%;e) 80.3%;Question;10.The relative frequency of the households;in this sample, whose incomes in 2011 are higher than $50,000, is (rounded to three;decimal places);a);0.671;b);0.032;c);0.329;d);Cannot be determined from the table;e);None of the above;Question;11.;The class width (in $1000) for the classes in;this table is;a);10,000 b) 5,000 c) 10;d) 5;e) 25;Note;Questions 12-14 are based on the following information;Forty-five students;wrote the PCS105 midterm test last week. The following stem-and-leaf display shows;the grades of students who failed PCS105 midterm test last week.;Stem;();Leaf;0;1;7 8;0 1 2;1;2;2;3;3;5 9;0 0;5 5 6;8 9;4;1 3;Question;12.;What is the maximum value in the above data?;a) 40.3 b) 4.3;c) 4.03 d);43;e) 41.3;Question13.;How many students;passed the last week?s PCS105 midterm test?;a) 15 b) 16 c) 23;d) 29 e) 25;Question14.;What is the failure;rate of this test?;a) 64.44% b) 35.56% c) 25.72%;d) 24.73% e) 14.32%;Note;Questions 15 ? 18 are based on the following Ogive.;The length of stay;t days, that each of 500 guests stayed at a five star hotel was recorded and;the results used to construct the Ogive below. Note that the first class is ?0;and under 5? and the last class is ?35 and under 40?.;Question15.;How many guests have stayed in this hotel at;least 20 days?;a);300 b) 200 c);150 d) 350 e) 100;Question16.;How many guests (in percentage) stayed in this;hotel 15 days or more?;a);40% b) 60%;c) 70% d);35%;e) cannot;be determined;Question17.;Find the approximate average length of stay per guest.;a);18 b) 19 c) 19.5 d);18.5 e) cannot;be answered;Question18.;Find the 70th percentile;a);35 b) 25 c) 15 d);22.5 e) cannot;be answered;Question19.Listed below are the annual union fees paid by a;simple random sample of Ryersonians.;$400, $383.5, $350.7, $232.5, $360;$1102.43, $421, $810.09, $122.33.;What is the variance of the above data? (Rounded to;two decimal places);81530.81;66754.44;91721.76;285.54;302.86;Questions 20-21 are based the following;information. The answers are rounded to one decimal place.;Forty-five students;wrote the PCS105 midterm test last week. The following stem-and-leaf display;shows the grades of students who failed PCS105 midterm test last week.;Stem;();Leaf;0;1;7 8;0 1 2;1;2;2;3;3;5 9;0 0;5 5 6;8 9;4;1 3;Question20.The 75th percentile of the above data;is;26 b. 38 c. 32 d. 25.5 e. 36.5;Question21.The range of the above data is;20.5;b.;35 c. 26;d. 25;e.;15;Use the following;data for Question 22.;Question;22. The;following table shows some data regarding the top 5 grocery chains in Toronto.;Table 1;Chains;Number;of Stores;Annual;Revenue per store($000);Total Profit;($Million);A;33;69800;22;B;21;42980;15;C;25;38900;19;D;12;28905;12;E;25;54300;26;a);What is the overall mean annual;revenue per store for the five chains shown?;b);What is the standard deviation of;the annual revenue per store?;c);What is the overall mean profit;per store?;d);What is the overall mean profit;per chain for the five chains shown?;e);What is the standard deviation;of the profit per chain?;Question;23.;Question;24. Construct;a bar chart that represents the data in Question 23.;Question;25. Twenty-nine;executives reported the number of telephone calls made during a randomly;selected week as shown here.;24;15 12 8;56 12 18;12 15 43;10 15;5;22 36 29;35 24 8;33 58 32;46 19;7;16 26 29;53;Find the mean, median and mode. Find the 42th;percentile.;Questions 26 - 28 are based on the;following information.;Warren County;Telephone Company claims in its annual report that "the typical customer;spends $75 per month on local and long-distance service." A sample of 25 subscribers;revealed the following amounts (in dollars) spent last month.;72, 77;70, 80, 90, 78;65, 93, 69;94, 73, 96, 80;66, 85;67, 72, 85, 74;77, 64, 91;79, 68, 86;Question26.What is the median of the observations?;a) 78 b);77.5 c) 77 d) 74 e) 75;Question27.What is the 40th percentile of the observations?;a) 73 b);73.5 c) 94 d) 74 e) 68;Question28.What is/are the mode(s) of the observations?;a) 72;b) 77;c) 80;d) 85;e) All of the above

Paper#60519 | Written in 18-Jul-2015

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