Students in the psychology department at General State University consumes an average of 7 sodas per day with a standard deviation of 2.5. the distribution is normal. Explain how you would go about answering the following questions (include your answer to the question in your response): What proportion of students consumes an amount equal to or greater than 6 sodas per day? What proportion of students consumes an amount equal to or greater than 8.5 sodas per day? What proportion of students consumes an amount between 6 and 8.5 sodas per day? What is the percentile rank for an individual who consumes 5.5 sodas per day? How many sodas would an individual at the 75thpercentile drink per day?
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.
Students in the psychology department at General State University consumes an average of 7 sodas per day with a standard deviation of 2.5. the distribution is normal. Explain how you would go about answering the following questions (include your answer to the question in your response):
- What proportion of students consumes an amount equal to or greater than 6 sodas per day?
- What proportion of students consumes an amount equal to or greater than 8.5 sodas per day?
- What proportion of students consumes an amount between 6 and 8.5 sodas per day?
- What is the percentile rank for an individual who consumes 5.5 sodas per day?
- How many sodas would an individual at the 75thpercentile drink per day?
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