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##### CQMS 102 - Test 1 Business Statistics I

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Question;Question 1 In a survey the respondent is asked to report the amount of income tax paid in2010. The scale of measurement used is:a) Nominalb) Intervalc) Ratiod) Ordinale) None of the aboveQuestion 2 Consider the following questions being asked on a survey. What is themeasurement scale of the response data?(a) Ordinal(b) Nominal(c) Interval(d) Ratio ? Discrete(e) Ratio - Continuous1) What was the rating of the hotel that you last stayed in? Ordinala) Dissatisfiedb) Somewhat Dissatisfiedc) Somewhat satisfiedd) Satisfiede) Very good2) What is your marital status? Nominal1=Married, 2=Common Law, 3=Widowed, 4=Divorced, 5=Single3) What is the major that you are studying? Nominala) Mathb) Physicsc) Chemistryd) Biologye) History4) What is the postal code? Nominal5) Which letter grade did you get on your Chemistry course last term? Ordinal6) What is the color of your eyes? Nominal7) What is the color of your car? Nominal8) Where is your hometown? Nominal9) How many courses are taking this term? Ratio ? Discrete10) How much time do you spend on shopping each week? Ratio - Continuous11) What was the lowest temperature in 0 C in the city you are living last month?Interval12) How many children do you intend to have? Ratio ? Discrete13) How many languages can you speak? Ratio ? Discrete14) Which language is your native language? Nominal15) Where were you born? Nominal16) What is your weight? Ratio - Continuous17) How long does it take for you to walk from your home to Ryerson? Ratio ContinuousNOTE: 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, 1.29Question 3 If you were to construct a stem-and-leaf display using the rules discussed inlectures for the above data, how many stems should your final stem-and-leaf display have?a) 7b) 8c) 6d) 9e) None of theseQuestion 4 Based on the stem-and-leaf display (using the rules discussed in lectures) for theabove data, how many leaves would there be on the second stem of your stem-and-leafdisplay?a) 4b) 0c) 2d) 3e) None of theseNOTE: 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, 1.41Question 5 If you were to construct a frequency distribution using the rules discussed inlectures for the above data, what would the class width (in thousand dollars) be?a) 1.0b) 0.05c) 0.50d) 0.10e) 0.025Question 6 If you were to construct a frequency distribution using the rules discussed inlectures for the above data, how many classes are there in the frequency distribution?a) 4b) 5c) 8d) 6e) 10Question 7 Based on the frequency distribution using the rules discussed in lectures for theabove data, what is the relative frequency of the fourth class? (The answers provided beloware rounded to three decimal places).a) 0.250b) 0.333c) 0.375d) 0.167e) None of theseQuestion 8 Based on the frequency distribution using the rules discussed in lectures for theabove data, what is the cumulative percentage of up to and including the third class? (Theanswers provided below are rounded to two decimal places).a) 16.67%b) 33.33%c) 50.00%d) 46.67%e) None of theseUse the following data for questions 9 to 11 inclusive.The following table represents the distribution of the income ($1000) in 2011 for a sample ofhouseholds in Toronto.Table 1Income ($1000) Number of households20 and under373030 and under224040 and under455050 and under56060 and under207070 and under118080 and under1590Question 9 The cumulative relative frequency of the households in this sample, whoseincomes in 2011 are lower than $70,000, isa) 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 2011are higher than $50,000, is (rounded to three decimal places):a) 0.671b) 0.032c) 0.329d) Cannot be determined from the tablee) None of the aboveQuestion 11The class width (in $1000) for the classes in this table is:a) 10,000b) 5,000c) 10d) 5e) 25Note: Questions 12-14 are based on the following informationForty-five students wrote the PCS105 midterm test last week. The following stem-and-leafdisplay shows the grades of students who failed PCS105 midterm test last week.Stem(?10)01122334Leaf7801259005568913Question 12What is the maximum value in the above data?a) 40.3b) 4.3c) 4.03d) 43e) 41.3Question 13How many students passed the last week?s PCS105 midterm test?a) 15b) 16c) 23d) 29e) 25Question 14What 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 andthe results used to construct the Ogive below. Note that the first class is ?0 and under 5? andthe last class is ?35 and under 40?.Question 15How many guests have stayed in this hotel at least 20 days?a) 300b) 200c) 150d) 350e) 100Question 16How many guests (in percentage) stayed in this hotel 15 days or more?a) 40%b) 60%c) 70%d) 35%e) cannot be determinedQuestion 17Find the approximate average length of stay per guest.a) 18b) 19c) 19.5d) 18.5Question 18Find the 70th percentile:a) 35b) 25c) 15d) 22.5e) cannot be answerede) cannot be answeredQuestion 19 Listed below are the annual union fees paid by a simple random sample ofRyersonians.$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)a. 81530.81b. 66754.44c. 91721.76d. 285.54e. 302.86Questions 20-21 are based the following information. The answers are rounded to onedecimal place.Forty-five students wrote the PCS105 midterm test last week. The following stem-and-leafdisplay shows the grades of students who failed PCS105 midterm test last week.Stem(?10)01122334Leaf7801259005568913Question 20 The 75th percentile of the above data is:a. 26b. 38c. 32d. 25.5Question 21 The range of the above data is:a. 20.5b. 35c. 26d. 25e. 36.5e. 15Use the following data for Question 22.Question 22 The following table shows some data regarding the top 5 grocery chains inToronto.Table 1ChainsABCDNumber of Stores33212512Annual Revenueper store($000)69800429803890028905Total Profit($Million)22151912E255430026a) What is the overall mean annual revenue per store for the five chains shown?(50714.14 thousand dollars)b) What is the standard deviation of the annual revenue per store? (14079.14 thousanddollars)c) What is the overall mean profit per store? (0.81 Million dollars)d) What is the overall mean profit per chain for the five chains shown? (18.8 Milliondollars)e) What is the standard deviation of the profit per chain? (5.54 Million dollars)Question 23Answer is BQuestion 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 arandomly selected week as shown here.24 15 12 8 56 12 18 12 15 43 10 15522 36 29 35 24 8 33 58 32 46 19716 26 29 53Find the mean, median and mode. Find the 42th percentile.Mean=24.76Median=22Mode=12, 15P42? 1 (x12?x13)? 1 (16?18)?1722Questions 26 - 28 are based on the following information.Warren County Telephone Company claims in its annual report that "the typical customerspends $75 per month on local and long-distance service." A sample of 25 subscribersrevealed 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, 86Question 26 What is the median of the observations?a) 78b) 77.5c) 77d) 74e) 75Question 27 What is the 40th percentile of the observations?a) 73b) 73.5c) 94d) 74e) 68Question 28 What is/are the mode(s) of the observations?a) 72b) 77c) 80d) 85e) All of the above

Paper#61672 | Written in 18-Jul-2015

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