43 49 55 61 67 73 79 Test Scores Use the Empirical Rule to answer the following questions. a. The mean is 61 b. The standard deviation is 6 C. 68 % of the test scores are between 55 and 67. d. 95 % of the test scores are between 49 and 73. е. 99.7 % of the test scores are between 43 and 79. f. 34 % of the test scores are between 61 and 67. g. % of the test scores are less than 61. h. % of the test scores are less than 67.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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43
49
55
61
67
73
79
Test Scores
Use the Empirical Rule to answer the following questions.
a. The mean is 61
b. The standard deviation is 6
с.
% of the test scores are between 55 and 67.
68
d. 95
% of the test scores are between 49 and 73.
e. 99.7
% of the test scores are between 43 and 79.
f. 34
% of the test scores are between 61 and 67.
g.
% of the test scores are less than 61.
h.
% of the test scores are less than 67.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff04deb86-1e80-4998-a3e1-f2e8bb7347fb%2Ffbe557f3-0c9c-4514-98f1-2c43fc5c4988%2Fqt5o6qb_processed.jpeg&w=3840&q=75)
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