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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Q: z-score Percentile z-score Percentile z-score Percentile -3.0 0.13 -2.0 2.28 -1.0 15.87 -2.9 0.19…

A: It is given that  Mean = 24.8 Standard deviation = 2.5 Z-Score, Z = ( X - μ )/σ

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Q: Find the mean and standard deviation of the thicknesses.

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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.