The mean score of a competency test is 82, with a standard deviation of 2. Between what two values do about 99.7% of the values lie? (Assume the data set has a bell-shaped distribution) O A. Between 76 and 88 O B. Between 80 and 84 O C. Between 78 and 86 O D. Between 74 and 90
The mean score of a competency test is 82, with a standard deviation of 2. Between what two values do about 99.7% of the values lie? (Assume the data set has a bell-shaped distribution) O A. Between 76 and 88 O B. Between 80 and 84 O C. Between 78 and 86 O D. Between 74 and 90
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![The mean score of a competency test is 82, with a standard deviation of 2. Between what two values do about 99.7% of the values lie? (Assume the data set has a bell-shaped distribution.)
- A. Between 76 and 88
- B. Between 80 and 84
- C. Between 78 and 86
- D. Between 74 and 90
[Answer: Use the empirical rule for normal distributions, which states that approximately 99.7% of data within a normal distribution lies within three standard deviations of the mean. Calculate the range: Mean ± 3(Standard Deviations). Here, it is 82 ± 3(2) = 76 to 88, which corresponds to option A.]
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(**Note:** Illustration of options on screen to engage students in solving statistical probability questions.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7eace22-cd3b-4738-9cc0-ae8710830b21%2F1c7e4d1a-9818-49ea-85bb-2c41dda139e5%2Fn669jme_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The mean score of a competency test is 82, with a standard deviation of 2. Between what two values do about 99.7% of the values lie? (Assume the data set has a bell-shaped distribution.)
- A. Between 76 and 88
- B. Between 80 and 84
- C. Between 78 and 86
- D. Between 74 and 90
[Answer: Use the empirical rule for normal distributions, which states that approximately 99.7% of data within a normal distribution lies within three standard deviations of the mean. Calculate the range: Mean ± 3(Standard Deviations). Here, it is 82 ± 3(2) = 76 to 88, which corresponds to option A.]
**Additional Options:**
- View Instructor Tip
- Calculator
(**Note:** Illustration of options on screen to engage students in solving statistical probability questions.)
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