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Stats JP

The document defines population parameters as statistical measures that describe a population and are fixed values. There are two types of estimates for population parameters: point estimates, which use a single value like a sample mean to represent the population, and interval estimates, which provide a range of values that the parameter is likely to fall within. The document also distinguishes between probability sampling, where each member of the population has an equal chance of being selected for the sample, and non-probability sampling, where the chance of selection is unknown.

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80 views1 page

Stats JP

The document defines population parameters as statistical measures that describe a population and are fixed values. There are two types of estimates for population parameters: point estimates, which use a single value like a sample mean to represent the population, and interval estimates, which provide a range of values that the parameter is likely to fall within. The document also distinguishes between probability sampling, where each member of the population has an equal chance of being selected for the sample, and non-probability sampling, where the chance of selection is unknown.

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John Philip Mateo Statistics

11 Stem

Define the following:

Population Parameter:

The population parameter can be defined as a quantity or statistical measure which,


for any provided population, is every time fixed and which is used as the value of a
variable in any of the general distribution or frequency function in order to make a
descriptive of the given population.

There are mainly two types of estimate for population parameters. They can be as
follows:

Point Estimate - Take any sample from the population, a particular value can be
estimated which will serve as a point estimate for the required population.
o Example. Suppose I wanted to estimate the mean height of all female
students at UNC. I took a sample in this class and the sample mean was
x = 65.5 (inches). So the obvious thing to do is to take that as an
estimate for the population mean. But I didnt have to use the sample
mean. I could have taken the sample median (65) or the sample mode
(63). It makes sense to ask which is better.
Interval Estimate - In this type we will be able to take any two limits between
which the parameter may be expected to lie, with the probability of it being found
in the range.
o Example. In a college of 25,000 students, the administration would like to
know for what proportion of students both parents had completed college.
A sample of 350 students was drawn at random and in that sample, 276 of
the students said that both their parents had completed college.

Probability and Non-Probability sample:

Probability sampling is a sampling technique, in which the subjects of the population


get an equal opportunity to be selected as a representative sample while Nonprobability
sampling is a method of sampling where in, it is not known that which individual from the
population will be selected as a sample.

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