proportion of orange candies among the 25 you selected a parameter or a statistic? Is the proportion of orange candies manufactured by Hershey’s process a parameter or a statistic? What is your best estimate (base

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Consider the population of the Reese’s Pieces candies manufactured by Hershey. Suppose that you want to learn about the distribution of colors of these candies, but you can only afford to take a sample of 25 candies.

  1. Physical Sample: Reese’s Pieces come in three colors: orange, brown, and yellow. Buy a small bag of Reese’s Pieces, take a random sample of 25 of the candies, and record the number and proportion of orange candies in your sample.
  2. Consider the following questions:
    • Is the proportion of orange candies among the 25 you selected a parameter or a statistic?
    • Is the proportion of orange candies manufactured by Hershey’s process a parameter or a statistic?
    • What is your best estimate (based on your sample) of the true population proportion?
    • Do you suspect that every person in the class obtained the same proportion of orange candies in their sample?
    • If everyone in the class estimates the population proportion of orange candies with the proportion of orange candies in their sample, will everyone have the same estimate?
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