To calculate: The mean, standard deviation, and margin of error and interpret the margin of error.
The mean and standard deviation of the given data is 14.4 and 2.28 respectively. The margin of error with a 95% confidence level is 0.82. The margin of error is the deviation from the mean with 95% confidence where the population mean lies.
Given:The data of a sample of ages of students in an art school.
13 | 12 | 15 | 18 | 14 | 16 | 18 | 12 | 13 | 14 | 14 | 17 | 15 | 8 | 17 |
16 | 12 | 16 | 14 | 15 | 13 | 13 | 17 | 15 | 14 | 18 | 16 | 12 | 12 | 13 |
Concept used:
The mean and standard deviation are calculated using the formula
The margin of error for 95% confidence level is calculated using formula
Calculation:
The mean and standard deviation are calculated as shown below
The margin of error is calculated for 95% confidence level is
Interpretation:The mean and standard deviation for sample of students in an art school is 14.4 and 2.28 rounded to the hundredth place. The margin of error for 95% confidence level is 0.82. Thus at 95% confidence level the population mean is within 0.82 years away from the sample mean 14 which is
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education