In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Charles has scored 93 82 , and 87 on the first three. What range of scores on the fourth test will give Charles a C for the semester (an average between 70 and 79 , inclusive)? Assume that all test scores have a non-negative value. Express your answer in interval notation
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.
In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Charles has scored
93
82
, and
87
on the first three. What range of scores on the fourth test will give Charles a C for the semester (an average between
70
and
79
, inclusive)? Assume that all test scores have a non-negative value.
Express your answer in interval notation
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