Question Americans consume an average of 1.64 cups of coffee per day. Assume the variable is approximately normally distributed with a standard deviation of 0.24 cup. If a person is selected, approximately how many will drink (as a percentage) less than 1 cup of coffee per day? How many will drink above 1 cup per day Instructions: ( review notes, applications, and PowerPoints under this week content folder) Draw the normal curve and insert the given values for the mean and std Dev. Show the area of interest ( shade this area) Convert all X values into Z corresponding values Look the Z Normal Table to determine the percentage of coffee drinker of less than 1 cup Interpret your answer.
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.
Question
Americans consume an average of 1.64 cups of coffee per day. Assume the variable is approximately
- If a person is selected, approximately how many will drink (as a percentage) less than 1 cup of coffee per day?
- How many will drink above 1 cup per day
Instructions: ( review notes, applications, and PowerPoints under this week content folder)
- Draw the normal curve and insert the given values for the
mean and std Dev. - Show the area of interest ( shade this area)
- Convert all X values into Z corresponding values
- Look the Z Normal Table to determine the percentage of coffee drinker of less than 1 cup
Interpret your answer.
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