Students in a fifth-grade class were given an exam. During the next 2 years, the same students were retested severa times. The average score was given by the model f(t) = 92 – 19 log(t + 1), 0 st< 24 where t is the time in months. Round answers to 1 decimal place. (a) What is the average score on the original exam? (b) What was the average score after 10 months? (c) After how many months does the average score drop below 75? months
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.
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)=92−19log(t+1), 0≤t≤24
where t is the time in months. Round answers to 1 decimal place.
(a) What is the average score on the original exam?
(b) What was the average score after 10 months?
(c) After how many months does the average score drop below 75?
months
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