Using Proportions to Make Inferences PDF
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Stonyhurst Southville International School
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This document presents a lesson or presentation on using proportions to make inferences based on random samples. It includes examples and steps to help students understand the concept.
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Using Proportions to Make Inferences SLIDESMANIA.COM WORK PLAN ★ Routines ★ Checking of Seatwork ★ Discussion ★ Seatwork...
Using Proportions to Make Inferences SLIDESMANIA.COM WORK PLAN ★ Routines ★ Checking of Seatwork ★ Discussion ★ Seatwork ★ Wrap-Up SLIDESMANIA.COM 1. Make a dot plot of the sample Seatwork population data. 2. Make a box plot of the sample population data. 3. The most common ages of Patrons in the children’s section of a children that use the library are _ local branch library were randomly and _. selected and asked their ages. The 4. The range of ages of children that librarian wants to use the data to infer use the library is from _ to _. the ages of all patrons of the 5. The median age of children that children’s section so he can select age use the library is _. appropriate activities. In 3–5, complete SLIDESMANIA.COM each inference. 7, 4, 7, 5, 4, 10, 11, 6, 7, 4 Using Proportions to Make Inferences If a sample is representative of the population, then the number of objects in the population with a given characteristic is proportional to the number of objects in the sample with that characteristic. You can use data based on a random sample, along with proportional reasoning, to make inferences or predictions about the population. SLIDESMANIA.COM EXAMPLE 1: A shipment to a warehouse consists of 3,500 MP3 players. The manager chooses a random sample of 50 MP3 players and finds that 3 are defective. How many MP3 players in the shipment are likely to be defective? SLIDESMANIA.COM SLIDESMANIA.COM EXAMPLE 2: A band has sold out a concert with 4,200 seats. A random sample of 120 ticket buyers is surveyed, and 28 buyers made their purchase on the first day tickets were being sold. How many of the 4,200 tickets are likely to have been purchased on the first day? SLIDESMANIA.COM SEATWORK! 1. A manufacturer fills an order for 4,200 smartphones. The 2. Part of the population of quality inspector selects a 4,500 elk at a wildlife preserve random sample of 60 phones is infected with a parasite. A and finds that 4 are defective. random sample of 50 elk How many smartphones in the shows that 8 of them are order are likely to be infected. How many elk are defective? About ___ likely to be infected? smartphones in the order are likely to be defective. SLIDESMANIA.COM Wrap-UP! Can random samples and proportional reasoning be used to determine precise information about a population? Explain. SLIDESMANIA.COM Thank you! SLIDESMANIA.COM