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Diotrbuto of f students colleye ages 215 6=3 Sample n= 36 probabi lity f what is 8 average age between 21 & and 22

Diotrbuto of f students colleye ages 215 6=3 Sample n= 36 probabi lity f what is 8 average age between 21 & and 22

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 11MCQ
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Title: Understanding Probability in the Distribution of College Student Ages --- **Distribution of Ages of College Students** - **Mean (μ):** 21.5 - **Standard Deviation (σ):** 3 **Scenario:** You have a sample of college students, where the sample size (n) is 36. The goal is to determine the probability that the average age of this sample is between 21 and 22. --- **Explanation:** This scenario involves understanding normal distribution, sample size, and calculating the probability related to the mean of a sample. The given mean age of college students is 21.5, with a standard deviation of 3. By selecting a random sample of 36 students, we use the principles of statistics to find the likelihood of the average age falling between 21 and 22. For a deeper understanding, concepts such as the Central Limit Theorem and Z-scores may be applied to solve for this probability. ---
Transcribed Image Text:Title: Understanding Probability in the Distribution of College Student Ages --- **Distribution of Ages of College Students** - **Mean (μ):** 21.5 - **Standard Deviation (σ):** 3 **Scenario:** You have a sample of college students, where the sample size (n) is 36. The goal is to determine the probability that the average age of this sample is between 21 and 22. --- **Explanation:** This scenario involves understanding normal distribution, sample size, and calculating the probability related to the mean of a sample. The given mean age of college students is 21.5, with a standard deviation of 3. By selecting a random sample of 36 students, we use the principles of statistics to find the likelihood of the average age falling between 21 and 22. For a deeper understanding, concepts such as the Central Limit Theorem and Z-scores may be applied to solve for this probability. ---
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