The weight of a small Starbucks coffee is a normally distrbuted random variable with a mean of 310 grams and a standard deviation of 10 grams. Find the weight that corresponds to each event. (Use excel or appendix c to calculate the z-value. Round your final answers to 2 decimal places) a. Highest 10 percent ______ b. Middle 50 percent ______ to ________ c. Highest 80 percent ______ d. Lowest 10 percent _______
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.
The weight of a small Starbucks coffee is a normally distrbuted random variable with a mean of 310 grams and a standard deviation of 10 grams. Find the weight that corresponds to each
a. Highest 10 percent ______
b. Middle 50 percent ______ to ________
c. Highest 80 percent ______
d. Lowest 10 percent _______
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