C. Q a. The mean is b. The standard deviation is U 52 Use the Empirical Rule to answer the following questions. f. 58 g. Test Scores 70 76 % of the test scores are between 58 and 70. % of the test scores are between 52 and 76. % of the test scores are between 46 and 82. % of the test scores are between 64 and 70. % of the test scores are less than 64. % of the test scores are less than 70. 82 €

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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++
C.
0
52
a. The mean is
b. The standard deviation is
2
58
Use the Empirical Rule to answer the following questions.
Dn
Test Scores
70
76
% of the test scores are between 58 and 70.
% of the test scores are between 52 and 76.
% of the test scores are between 46 and 82.
% of the test scores are between 64 and 70.
% of the test scores are less than 64.
% of the test scores are less than 70.
82
Q
Transcribed Image Text:++ C. 0 52 a. The mean is b. The standard deviation is 2 58 Use the Empirical Rule to answer the following questions. Dn Test Scores 70 76 % of the test scores are between 58 and 70. % of the test scores are between 52 and 76. % of the test scores are between 46 and 82. % of the test scores are between 64 and 70. % of the test scores are less than 64. % of the test scores are less than 70. 82 Q
Expert Solution
Step 1: Introduction:

Empirical rule states that:

  • About 68% of observations lie within one standard deviation of the mean. That is, in the interval open parentheses mu minus sigma comma space mu plus sigma close parentheses.
  • About 95% of observations lie within two standard deviations of the mean. That is, in the interval open parentheses mu minus 2 sigma comma space mu plus 2 sigma close parentheses.
  • About 99.7% of observations lie within three standard deviations of the mean. That is, in the interval open parentheses mu minus 3 sigma comma space mu plus 3 sigma close parentheses.
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