1. Collected data shows that about 220,0o00 high schoolers took the AP in 2020. The FRQ section of the exam consisted of five problems. Each FRQ is scored on to 4 scale (with 4 being the best). For a certain problem, a random sample of 35 submissions produced a mean score of i =1.627 and a standard deviation of 3, = 1.320. A. Find the standard error of the mean and interpret it. B. Construct a 99% confidence interval to estimate the true mean score on this question and interpret it.
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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