The following data represent exam scores in a statistics class taught using traditional lecture and a class taught using a "flipped" classroom. Complete parts (a) through (c) below. Traditional 69.9 69.6 78.7 67.6 84.7 78.5 56.3 O 80.2 81.9 71.0 64.4 70.2 59.0 Flipped 77.5 72.5 62.7 72.6 76.9 90.4 79.6 77 4 819 70.5 91.3 778 75 7
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.
Denote the data points of Traditional dataset as X1,X2,.....,X13
and, the data points of Flipped dataset of as Y1,Y2,.....,Y13
Hence, mean of the traditional exam ,
standard deviation, sd(X) =
mean of the flipped exam ,
standard deviation, sd(Y) =
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