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Quiz 1 Questions - Introduction To Statistics | MATH 1121, Quizzes of Statistics

Material Type: Quiz; Class: Introduction To Statistics; Subject: Mathematics; University: East Georgia College; Term: Unknown 1990;

Typology: Quizzes

Pre 2010

Uploaded on 08/04/2009

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Math 1121 Quiz 1 Practice Name __________________
1. An insurance company wants to know the proportion of medical doctors in New York
involved in at least one malpractice suit in the last three years. They survey a random sample of
200 medical doctors in New York.
(a) What is the population?
(b) What is the sample?
(c) Could the insurance company generalize and say that this sample is representative of all
medical doctors in rural areas of the country? Why or why not?
2. At a used car lot the following information is obtained about one of the cars on the lot.
(a) Make and Model: Ford Escort
(b) Model year: 1990
(c) Color: blue
(d) Number of cylinders: 4
(e) Gas consumption: 35 miles per gallon
(f) Condition: Clean, in good repair
(g) Sticker price: $8,817.00
(h) Body registration number: TA1592763C51
(i) Number of miles on odometer: 36,719
(j) Sales Person Claim: This is the best car on the lot for you.
For the information (a) to (j) list the highest level of measurement that applies: ratio, interval,
ordinal, or nominal.
3. (a) Describe how you would use a random number table to get a random sample of 12 men’s
dress shirts taken from a shipment of 475 men’s dress shirts.
(b) Use the line from the random number table given below to identify the first five shirts in
your sample.
08811 82711 57392 25252 30333
4. The heights of ten varsity basketball players at Mountain View College were measured in
inches and found to be:
74 82 78 72 78 73 78 72 78 81
Find the mean, the median and the mode of the heights.
5. Some people are attracted to those who are like them. Others are attracted to those who are
quite different. In a study of this phenomenon a random sample of 32 people were surveyed to
determine their rating of attraction to people quite different from themselves. A scale from 1 to
20 was used. 20 represents feelings of greatest attraction. The results follow.
2 17 9 8 3 6 10 15 3 6 2
12 3 16 5 2 7 4 17 7 19 14
16 15 10 11 1 8 5 6 16 15
(a) Make a frequency table for this data using 5 classes. Show class limits, class boundaries,
frequencies and midpoints.
(b) Draw a histogram. Show the midpoints.
(c) Draw a frequency polygon.
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Math 1121 Quiz 1 Practice Name __________________

  1. An insurance company wants to know the proportion of medical doctors in New York involved in at least one malpractice suit in the last three years. They survey a random sample of 200 medical doctors in New York. (a) What is the population? (b) What is the sample? (c) Could the insurance company generalize and say that this sample is representative of all medical doctors in rural areas of the country? Why or why not?
  2. At a used car lot the following information is obtained about one of the cars on the lot. (a) Make and Model: Ford Escort (b) Model year: 1990 (c) Color: blue (d) Number of cylinders: 4 (e) Gas consumption: 35 miles per gallon (f) Condition: Clean, in good repair (g) Sticker price: $8,817. (h) Body registration number: TA1592763C (i) Number of miles on odometer: 36, (j) Sales Person Claim: This is the best car on the lot for you. For the information (a) to (j) list the highest level of measurement that applies: ratio, interval, ordinal, or nominal.
  3. (a) Describe how you would use a random number table to get a random sample of 12 men’s dress shirts taken from a shipment of 475 men’s dress shirts. (b) Use the line from the random number table given below to identify the first five shirts in your sample. 08811 82711 57392 25252 30333
  4. The heights of ten varsity basketball players at Mountain View College were measured in inches and found to be: 74 82 78 72 78 73 78 72 78 81 Find the mean, the median and the mode of the heights.
  5. Some people are attracted to those who are like them. Others are attracted to those who are quite different. In a study of this phenomenon a random sample of 32 people were surveyed to determine their rating of attraction to people quite different from themselves. A scale from 1 to 20 was used. 20 represents feelings of greatest attraction. The results follow. 2 17 9 8 3 6 10 15 3 6 2 12 3 16 5 2 7 4 17 7 19 14 16 15 10 11 1 8 5 6 16 15 (a) Make a frequency table for this data using 5 classes. Show class limits, class boundaries, frequencies and midpoints. (b) Draw a histogram. Show the midpoints. (c) Draw a frequency polygon.
  1. The Statistical Abstract of the United States (117th edition) reports the number of families below the poverty level by age of householder. There are a total of 7,509,000 such families. The histogram below shows the breakdown by age of householder. Use the frequency table and the histogram to answer the questions below.

(a) What is the class width? (b) Describe the shape of the histogram. (c) Which age category has the highest percentage of families below the poverty level? (d) What percentage of families below the poverty level have householders 34 years of age or younger?

  1. The Jackson Dormitory complex has a computer lab to give students easy access to computers. However there is a complaint that a few students seem to monopolize the equipment. To study usage patterns, a random sample of 160 users was selected. The time each student spent on the computer during one session was measured. The times (to the nearest minute) were:

(a) Estimate the sample mean time for student sessions on the computer. (b) Estimate the sample standard deviation.

  1. In a 4 point grade system an A corresponds to 4.0 points; a B corresponds to 3.0; a C corresponds to 2.0 and so forth. This semester George got an A in a 4 semester-hour course, and also in a 3 semester-hour course. He got a B in a 5 semester-hour course and a C in a 2 semester- hour course. A GPA is computed as a weighted average using the number of semester hours as weights and the number of points corresponding to the grade as the data. Compute George’s GPA for this semester.

Key Reference: [1.35] [1] (a) Population: The response (has or has not been involved in a malpractice suit in the last three years) from all medical doctors in New York. (b) Sample: The responses to the same question from the 200 medical doctors in the survey. (c) No. The sample was not restricted to medical doctors from rural areas in New York. Many of those in the sample could have come from New York City.

Reference: [1.53] [2] (a) Nominal; (b) Interval; (c) Nominal; (d) Ratio; (e) Ratio; (f) Ordinal; (g) Ratio; (h) Nominal; (i) Ratio; (j) Ordinal.

Reference: [1.64] [3] (a) Number the shirts from 001 through 475. Read consecutive groups of three digits until you have twelve distinct numbers from 1 to 475. (b) 088, 118, 271, 157, 392

Reference: [3.31] [4] Mean = 76.6; median = 78; mode = 78

Reference: [2.44]

[5] (a)

(b, c)

Reference: [2.61] [6] (a) The class width is 10. (b) The histogram is skewed right. (c) The category with householders between the ages of 25 and 34 has the highest percentage of families below the poverty level. (d) 43.6% of the families below the poverty level have householders 34 years of age or younger.

Reference: [3.56] [7] (a) The mean is approximately 83 minutes. (b) The sample standard deviation is approximately 55.8 minutes.

Reference: [3.61] [8] George’s GPA = 3.

Reference: [3.52] [9] (a) 11.7 inches to 17.7 inches (b) 8.7 inches to 20.7 inches

Reference: [3.33] [10] Mean = 43; median = 42.5; mode = 31