The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.050.05 level that the medicine relieves pain in less than 334334 seconds. For a sample of 8686 patients, the mean time in which the medicine relieved pain was 332332 seconds. Assume the population standard deviation is 2323.
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.
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.050.05 level that the medicine relieves pain in less than 334334 seconds. For a sample of 8686 patients, the mean time in which the medicine relieved pain was 332332 seconds. Assume the population standard deviation is 2323.
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