Suppose that you have been hired to measure the volume of a warehouse and have been asked to give a measure of the uncertainty related to that volume. In order to achieve this task, you’ve borrowed an EDM instrument which, according to the manufacturer, has the following standard deviation: σi=±(3 mm+3 ppm). You then measured (independently) the following quantities: W=149.985 m L=79.998 m H=50.003 m a) What is the volume of that warehouse? b) Using the propagation of variances, what is the precision of that volume? Specify the units for the volume and the associated precision.
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.
Suppose that you have been hired to measure the volume of a warehouse and have been asked to give a measure of the uncertainty related to that volume. In order to achieve this task, you’ve borrowed an EDM instrument which, according to the manufacturer, has the following standard deviation: σi=±(3 mm+3 ppm).
You then measured (independently) the following quantities:
W=149.985 m L=79.998 m H=50.003 m
a) What is the volume of that warehouse?
b) Using the propagation of variances, what is the precision of that volume? Specify the units for the volume and the associated precision.
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