In grading eggs into medium and large cartons, a poultry farm packs "medium" cartons that have an average weight of 250 ounces with a standard deviation of 70 ounces. Cartons that are marked "large" have an average weight of 280 ounces with a standard deviation of 40 ounces. Assume that the distribution of the weights is normal. What is the weight of the top 2.5% of the large cartons? What is the probability that the mean weight of 60 randomly selected medium cartons is less than the mean weight of 55 randomly selected large cartons? If a day's packaging contained 60.5% of large eggs, what is the probability that in a random sample of 100 cartons, more than half of the cartons contain large eggs? A single numerical value used as an estimate of a population parameter is known as i. a population parameter ii. a mean estimator iii. a parameter iv. None of the above

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In grading eggs into medium and large cartons, a poultry farm packs "medium" cartons that have an average weight of 250 ounces with a standard deviation of 70 ounces. Cartons that are marked "large" have an average weight of 280 ounces with a standard deviation of 40 ounces.

Assume that the distribution of the weights is normal.

  1. What is the weight of the top 2.5% of the large cartons?
  2. What is the probability that the mean weight of 60 randomly selected medium cartons is less than the mean weight of 55 randomly selected large cartons?
  3. If a day's packaging contained 60.5% of large eggs, what is the probability that in a random sample of 100 cartons, more than half of the cartons contain large eggs?
  4. A single numerical value used as an estimate of a population parameter is known as

i. a population parameter

ii. a mean estimator

iii. a parameter

iv. None of the above

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