A survey of 16 energy drinks noted the caffeine concentration of each drink in milligrams per ounce. The results are given in the table below. Concentration of caffeine (mg/oz) 9.0 9.1 7.6 7.8 7.9 8.7 8.8 9.0 9.1 8.9 8.3 9.2 9.2 8.2 8.6 8.9 Find the mean and sample standard deviation of these data. Round to the nearest hundredth. mean sample standard deviation
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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A survey of 16 energy drinks noted the caffeine concentration of each drink in milligrams per ounce. The results are given in the table below.
Concentration of caffeine (mg/oz)
9.0
9.1
7.6
7.8
7.9
8.7
8.8
9.0
9.1
8.9
8.3
9.2
9.2
8.2
8.6
8.9
Find the mean and sample standard deviation of these data. Round to the nearest hundredth.
mean
sample standard deviation
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