Asked by thomas hennessy on Jun 16, 2024
Verified
When a machine dispensing cola at a bottling plant is working correctly, it dispenses a mean of 12 ounces of cola per bottle with a standard deviation of 0.2 ounces.
a. When the machine is working correctly, what percentage of the bottles will be filled with between 11.6 and 12.4 ounces of cola?
At least ______________.
b. On a particular day, the bottling plant supervisor randomly selects two bottles from among those filled by the machine. One bottle contains 11.8 ounces of cola, and the other contains 12.1 ounces of cola. Based on the contents of these two bottles, what can the supervisor infer (conclude) about the machine's performance?
____________________________
Standard Deviation
A measure of the dispersion or variability within a set of numerical data, indicating how spread out the values are.
Mean
The arithmetic average of a set of numbers, found by dividing the sum of all the numbers by the count of the numbers.
- Integrate the Empirical Rule with Gaussian distributions to figure out the percentage of data lying within one, two, or three standard deviations from the mean.
- Find the central value and the spread of data values from the given information.
Verified Answer
CM
Learning Objectives
- Integrate the Empirical Rule with Gaussian distributions to figure out the percentage of data lying within one, two, or three standard deviations from the mean.
- Find the central value and the spread of data values from the given information.