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For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 26 students, and the distribution of total study hours per week is bell-shaped with a mean of 12 hours and a standard deviation of 2.6 hours. Use the Empirical Rule to answer the following questions. a) 68% of the students spend between hours and hours on Statistics each week. b) 95% of the students opend between hours and hours on Statistics each week. c) 99.7% of the students spend between hours on Statistics each week. hours and

For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 26 students, and the distribution of total study hours per week is bell-shaped with a mean of 12 hours and a standard deviation of 2.6 hours. Use the Empirical Rule to answer the following questions. a) 68% of the students spend between hours and hours on Statistics each week. b) 95% of the students opend between hours and hours on Statistics each week. c) 99.7% of the students spend between hours on Statistics each week. hours and

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**Understanding Study Hours Using the Empirical Rule** For a 4-unit class like Statistics, students should spend an average of 12 hours studying for the class. A survey was done on 26 students, and the distribution of total study hours per week is bell-shaped with a mean of 12 hours and a standard deviation of 2.6 hours. **Use the Empirical Rule to answer the following questions:** a) **68% of the students spend between** [____] **hours and** [____] **hours on Statistics each week.** b) **95% of the students spend between** [____] **hours and** [____] **hours on Statistics each week.** c) **99.7% of the students spend between** [____] **hours and** [____] **hours on Statistics each week.** **Explanation of the Empirical Rule:** The Empirical Rule, also known as the 68-95-99.7 rule, applies to a bell-shaped or normal distribution and states the following: 1. **68%** of data falls within **1 standard deviation** of the mean. 2. **95%** of data falls within **2 standard deviations** of the mean. 3. **99.7%** of data falls within **3 standard deviations** of the mean. Given the mean (μ) is 12 hours and the standard deviation (σ) is 2.6 hours, we can calculate the ranges for each percentage: 1. **68%** (1σ) - Lower: 12 - 2.6 = 9.4 hours - Upper: 12 + 2.6 = 14.6 hours 2. **95%** (2σ) - Lower: 12 - 2(2.6) = 12 - 5.2 = 6.8 hours - Upper: 12 + 2(2.6) = 12 + 5.2 = 17.2 hours 3. **99.7%** (3σ) - Lower: 12 - 3(2.6) = 12 - 7.8 = 4.2 hours - Upper: 12 + 3(2.6) = 12 + 7.8 = 19.8 hours Therefore, the answers will be: a
Transcribed Image Text:**Understanding Study Hours Using the Empirical Rule** For a 4-unit class like Statistics, students should spend an average of 12 hours studying for the class. A survey was done on 26 students, and the distribution of total study hours per week is bell-shaped with a mean of 12 hours and a standard deviation of 2.6 hours. **Use the Empirical Rule to answer the following questions:** a) **68% of the students spend between** [____] **hours and** [____] **hours on Statistics each week.** b) **95% of the students spend between** [____] **hours and** [____] **hours on Statistics each week.** c) **99.7% of the students spend between** [____] **hours and** [____] **hours on Statistics each week.** **Explanation of the Empirical Rule:** The Empirical Rule, also known as the 68-95-99.7 rule, applies to a bell-shaped or normal distribution and states the following: 1. **68%** of data falls within **1 standard deviation** of the mean. 2. **95%** of data falls within **2 standard deviations** of the mean. 3. **99.7%** of data falls within **3 standard deviations** of the mean. Given the mean (μ) is 12 hours and the standard deviation (σ) is 2.6 hours, we can calculate the ranges for each percentage: 1. **68%** (1σ) - Lower: 12 - 2.6 = 9.4 hours - Upper: 12 + 2.6 = 14.6 hours 2. **95%** (2σ) - Lower: 12 - 2(2.6) = 12 - 5.2 = 6.8 hours - Upper: 12 + 2(2.6) = 12 + 5.2 = 17.2 hours 3. **99.7%** (3σ) - Lower: 12 - 3(2.6) = 12 - 7.8 = 4.2 hours - Upper: 12 + 3(2.6) = 12 + 7.8 = 19.8 hours Therefore, the answers will be: a
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