The annual per capita consumption fresh bananas (in pounds) in the United States can be approximiated by the normal distribution, with a mean of 10 4 pounds and a standard deviation of 3 pounds. Answer the following questions about the specified nor distribution (a) What is the smallest annual per capita consumption of bananas that can be in the top 10% of consumptions? (b) What is the largest annual per capita consumption of bananas that can be in the bottom 5% of consumption? Click to view page 1.of the Standard Normal Table Click to view page 2 of the Standard Normal Table (a) The smallest annual per captita consumption of bananas that can be in the top 10% of consumptions is pounds (Round to one decimal place as needed)
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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