Example 1.1: A manufacturer of smart cards claims that less than 2% of its products are defective. When 400 smart cards were drawn from a large production, 1.6% were found to be defective.
Question (d) Regarding Example 1.1 above, is the value 1.6% a parameter or a statistic?
Select one:
a. Parameter
b. Statistic
Solution:
Parameters are numbers that summarize data for an entire population.
A parameters is a descriptive measure computed from an entire population of data .
Parameters is fixed unknown numerical value .
Statistics are number that summarize data from a sample that is some subset of the entire population.
Statistics is descriptive measure computed from a sample data.
A sample in a Statistics is a part or portion of a population . The goal is to estimate certain parameters.
Statistics is known number and a variable which depends on portion of the population.
Here 1.6% defective products is obtained from the sample of 400 smart card production.
Therefore 1.6% is a statistic
The value 1.6% is a statistic
Option b is correct
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