Amounts of Coke assume that can of Coke are filled so that the actual mounts have a mean of 12.00 oz and a standard deviation of 0.11 oz a. Find the probability that a single can of Coke has at least 12.19 oz b. The 36 cans of Code in Data Set 26 "Cola Weights and Volumes" in Appendix B have a mean of 12.19 oz. Find the probability that 36 random cans of Coke hae a mean of at least 12.19 oz. c Given the result from part (b), is it reasonable to believe that the cans are actually filled with a mean equal to 12.00oz? If the mean is not equal to 12.00oz, are consumers being cheated?
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.
Amounts of Coke assume that can of Coke are filled so that the actual mounts have a mean of 12.00 oz and a standard deviation of 0.11 oz
a. Find the
b. The 36 cans of Code in Data Set 26 "Cola Weights and Volumes" in Appendix B have a mean of 12.19 oz. Find the probability that 36 random cans of Coke hae a mean of at least 12.19 oz.
c Given the result from part (b), is it reasonable to believe that the cans are actually filled with a mean equal to 12.00oz? If the mean is not equal to 12.00oz, are consumers being cheated?
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