A researcher wants to know how long it takes, on average, for a certain species of bacteria to divide. She watches 15 cells through a microscope and times how long it takes them to divide. She obtains the following data, in hours: 6.3, 7.1, 8.7, 6.1, 7.4, 7.5, 6.4, 7.8, 7.5, 4.4, 6.1, 7.1, 5.9, 5.9, 7.6 Construct a 95% confidence interval for the average time it takes this species of bacteria to divide. S = %3D Margine of Error: E We are 95% confident that this species of bacteria takes, on average, between hours to divide. hours and
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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