statistics is used in the various fields.
for example:
banking
business
physical sciences
natural sciences
marketing
research
computer science
economics
physics
and many more
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All the time. Statistic is based on the application of probability theory!
The statement is true that a sampling distribution is a probability distribution for a statistic.
with mean and standard deviation . Once standardized, , the test statistic follows Standard Normal Probability Distribution.
Non probability sampling and probability sampling are different because probability sampling uses random samples. Non probability sampling aren't random, but can still be representative of the population as a whole if done correctly.
specific application of statistics in education - when a teacher computes the grades of students statistic is appiled