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University of Notre Dame *

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400

Subject

Mathematics

Date

Apr 3, 2024

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1

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MATH 1001 Solutions to Practice Exam 4 The questions on this practice exam do not represent specific questions or point values on the exam that you will take on for a grade. You should also review all practice and homework problems for a more comprehensive review for the exam. 1. (8 pts) Classify each of the following as a random, systematic, stratified, or cluster sampling. 2. (4 pts) 3. (5 pts) a. A college faculty consists of 400 men and 250 women. The college administration wants to draw a sample of 65 faculty members to ask their opinion about a new parking fee. They draw a simple random sample of 40 men and another simple random sample of 25 women. Solution: Because the samples are chosen from groups by characteristic, this is a stratified sample. b. Police at a sobriety checkpoint pull over every fifth car to determine whether the driver is sober. Solution: Because every fifth car is checked, this is a systematic sample. A sporting goods store kept a record of sales of five items for one randomly selected hour during a recent sale. Construct a frequency distribution for the data (B = baseballs, G = golf balls, T = tennis balls, S = soccer balls, F = footballs). F B BBGTU FGGES GT F T TTSTUES S GS B Solution: Class | Frequency mMmuHQw N A The data set shown below represents the number of hours 25 employees worked at the Sea Side Amusement Park during a randomly selected week in June. Construct a stem and leaf plot for the data. 16 40 18 39 40 17 29 14 37 22 18 12 23 32 35 24 26 40 19 25 26 38 42 33 29 Solution: Stems | Leaves 1 2467889 2 23456699 3 235789 4 0002
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