Hugo averages 59 words per minute on a typing test with a standard deviation of 15 words per minute. Suppose Hugo's words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then, X∼N(59,15). Suppose Hugo types 57 words per minute in a typing test on Wednesday. The z-score when x=57 is ________. This z-score tells you that x=57 is ________ standard deviations to the ________ (right/left) of the mean, ________.
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.
Hugo averages 59 words per minute on a typing test with a standard deviation of 15 words per minute. Suppose Hugo's words per minute on a typing test are
Suppose Hugo types 57 words per minute in a typing test on Wednesday. The z-score when x=57 is ________. This z-score tells you that x=57 is ________ standard deviations to the ________ (right/left) of the mean, ________.
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