C-4) The concentration of active ingredient in a liquid laundry detergent is thought to be affected by the type of catalyst used in the process. Ten observations on concentration are taken with each catalyst, and the data follow: Catalyst 1: 57.9. 66.2. 65.4, 65.4, 65.2. 62.6, 67.6, 63.7, 67.2. 71.0 Catalyst 2: 66.4, 71.7, 70.3, 69.3, 64.8. 69.6. 68.6, 69.4, 65.3, 68.8. Find a 95% confidence interval on the ratio of active concentrations for the two catalysts, and explain it.
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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