On two examinations, you have grades of 86 and 88. There is an optional final examination, which counts as one grade.You decide to take the final in order to get a course grade of A, meaning a final average of at least 90.a. What must you get on the final to earn an A in the course?b. By taking the final, if you do poorly, you might risk the B that you have in the course based on the first two exam grades. If your final average is less than 80, you will lose your B in the course. Describe the grades on the finalthat will cause this to happen.
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.
On two examinations, you have grades of 86 and 88. There is an optional final examination, which counts as one grade.You decide to take the final in order to get a course grade of A, meaning a final average of at least 90.
a. What must you get on the final to earn an A in the course?
b. By taking the final, if you do poorly, you might risk the B that you have in the course based on the first two exam grades. If your final average is less than 80, you will lose your B in the course. Describe the grades on the final
that will cause this to happen.
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