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1 of 14 MATH 179: Homework Section 4.1 ( ) Question Description Section 4.1 Population, Sample, and Data Instructions Please work all homework questions and clearly label / place your answers in the boxes (or parenthesis) provided. If you have questions, please feel free to me at Joshua.Patterson@tamuc.edu 1. Question Details JModd [ ] To study the eating habits of students at a local college, thirty randomly selected students were surveyed to determine the number of times they had purchased food at the school cafeteria during the last week. The following results were obtained (a) Organize the given data by creating a frequency distribution. Number of Times Purchased Food Frequency (b) Construct a pie chart to represent the data. (c) Construct a histogram using singlevalued classes of data.
2 2 of Question Details JModd [ ] To study the spending habits of shoppers in Orlando, Florida, fifty randomly selected shoppers at a mall were surveyed to determine the number of credit cards they carried. The following results were obtained (a) Organize the given data by creating a frequency distribution. Number of Credit Cards Frequency (b) Construct a pie chart to represent the data.
3 of 14 (c) Construct a histogram using singlevalued classes of data. 3. Question Details JModd [ ] The weights, in pounds, of thirtyfive packages of ground beef at the Cut Above Market were as follows.
4 4 of (a) Organize the given data by creating a frequency distribution. (Group the data into six intervals.) x = Weight 0.5 x < 1.0 Frequency 1.0 x < x < x < x < x < 3.5 (b) Construct a histogram to represent the data. 4. Question Details JModd CMI. [ ] The frequency distribution shown in the following table lists the annual salaries of the managers at Universal Manufacturing of Melonville. Construct a histogram to represent the data. x = Salary (thousands of dollars) Number of Managers 30 x < x < x < x < x < x < 90 6
5 of Question Details JModd [ ]
6 6 of 14 To study the output of a machine that fills boxes with cereal, a quality control engineer weighed 150 boxes of Brand X cereal. The frequency distribution in the following figure summarizes her findings. Construct a histogram to represent the data. x = Weight (ounces) Number of Boxes 15.3 x < x < x < x < x < Question Details JModd CMI. [ ] The age composition of the population of a certain country is given in the following table. Replace the interval "85 and over" with the interval 85 x 100 and construct a histogram to represent the data. Age (years) Number of People (thousands) 0 < x < 5 16,177 5 x < 10 18, x < 15 20, x < 25 33, x < 35 36, x < 45 40, x < 55 35, x < 65 21, x < 85 27, and over 9,242
7 7 of Question Details JModd [ ] In this exercise, use the age composition of students enrolled in institutions of higher education in a certain country. Using the data below, replace the interval "35 and over" with the interval 35 x 60 and construct a histogram to represent the female data. Age of Females (years) Number of Students 14 x < 18 85, x < 20 1,903, x < 22 1,593, x < 25 1,309, x < 30 1,005, x < , and over 1,886,000 Total 8,449,000
8 8 of Question Details JModd [ ] The frequency distribution shown in the following table lists the number of hours per day a randomly selected sample of teenagers spent watching television. Where possible, determine what percent of the teenagers spent the following number of hours watching television. (Round your answers to one decimal place. If not possible, enter IMPOSSIBLE.) Hours per day Number of Teenagers 0 x < x < x < x < x < x < x < 7 16 (a) less than 4 hours % (b) at least 5 hours % (c) at least 1 hour % (d) less than 2 hours % (e) at least 2 hours but less than 4 hours % (f) more than 3.5 hours % 9. Question Details JModd CMI. [ ] The following table lists the top five reasons given by patients for emergency room visits. Construct a pie chart to represent the data. Reason Number of Patients (thousands) Stomach pain 7,152 Chest pain 5,639 Fever 5,311 Cough 3,016 Shortness of breath 2,944
9 of Question Details JModd CMI. [ ] The following table lists the race of new AIDS cases in the United States in a certain year. Race Male Female White 10,042 1,714 Black 13,015 7,083 Hispanic 5,932 1,733 Asian Native American (a) Construct a pie chart to represent the male data. (b) Construct a pie chart to represent the female data.
10 10 of 14 (c) Compare the results of parts (a) and (b). What conclusions can you make? (Select all that apply.) Females have a higher percentage of blacks with new AIDS cases than males do. Males have a higher percentage of blacks with new AIDS cases than females do. Both Asian and Native American males and females are less than 2%. Males have a higher percentage of whites with new AIDS cases than females do. Females have a higher percentage of whites with new AIDS cases than males do. (d) Construct a pie chart to represent the total data.
11 11 of Question Details JModd [ ] The following table lists some common specialties of physicians in the United States in a certain year. Specialty Male Female Family Practice 54,036 26,349 General Surgery 32,302 5,157 Internal Medicine 104,663 46,244 Obstetrics/Gynecology 24,844 17,299 Pediatrics 33,540 36,635 Psychiatry 27,217 13,088 (a) Construct a pie chart to represent the male data.
12 2 of 14 (b) Construct a pie chart to represent the female data. (c) Compare the results of parts (a) and (b). What conclusions can you make? (Select all that apply.)
13 13 of 14 A higher percentage of males than females are pediatricians. A higher percentage of males are general surgeons than practice internal medicine. A higher percentage of females than males are pediatricians. A higher percentage of females than males are general surgeons A higher percentage of males than females are general surgeons. A higher percentage of females are general surgeons than practice psychiatry. (d) Construct a pie chart to represent the total data. 12. Question Details JModd CMI. [ ] The following table lists the major metropolitan areas on intended residence for immigrants admitted to the United States in a certain year. Construct a pie chart to represent the data. Metropolitan Area Los Angeles/ Long Beach, CA Number of Immigrants 100,391 New York, NY 86,885 Chicago, IL 41,638 Miami, FL 39,765 Washington DC 36,346
14 14 of 14 Assignment Details
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