In a memory test, the test subjects are shown 400 objects and are asked after two hours to name the objects. The historical records show that test subjects remember 80% of the objects after two hours. Find the mean of p , where p is the proportion of objects that are remembered by a test subject. Find the standard deviation of p . Compute an approximation for P
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.
- Find the mean of
, wherepis the proportion of objects that are remembered by a test subject.p
- Find the standard deviation of
.p
- Compute an approximation for
, which is theP<p0.79
probability that fewer thanof the objects are remembered by a test subject. Round your answer to four decimal places.79%
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