Students in a fifth-grade class were given a exam. During the next 2 years, the same students were retested several times. The average score was given by the model f(t) = 95 – 29log(t + 1), 0
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.
![### Exam Score Modeling and Analysis
Students in a fifth-grade class were given an exam. During the next 2 years, the same students were retested several times. The average score was given by the model:
\[ f(t) = 95 - 29 \log(t + 1), \quad 0 \leq t \leq 24 \]
where \(t\) is the time in months. Round answers to 1 decimal place.
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**(a) What is the average score on the original exam?**
\[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]
**(b) What was the average score after 5 months?**
\[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]
**(c) After how many months does the average score drop below 60?**
\[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_ \] months](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01ced3bf-0a3b-4c7d-b69b-2526ca821194%2Ff5217de3-c3c0-45b3-852b-d50b22724fee%2Fp611t8u_processed.jpeg&w=3840&q=75)
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