Question

What is a Pre-test? Explain. What is a Post-test? Explain. Write a one to two (1–2) page paper in which you answer the questions about distribution sampling

Answer 1

The pre test and the post test :

In Statistical sampling procedure the term pre test is the test that conducted before conducting the experiment. The pre test is where the questionnaire is testing on the small sample of people's before the full scale study.in order to identify any mistek or error in the questionnaire.it is also used to initial measurements before an experiment is conducted.

Similarly, the post test is the test that conducted after the Statistical experiment to see the effect.

Sampling Distribution:

the sampling Distribution means the probability distribution of tge Statistic. Here Statistic is the function of the sample observations.

A sampling distribution is a distribution of the possible values Of a statistic for a given sample size n selected from a population.

Summary,

Objective: To find out how the sample mean Varies from sample to sample. In other words, We want to find out the sampling distribution Of the sample mean.

Application:

Central Limit Theorem: When randomly sampling from any population with mean µ and standard deviation σ, when n is large enough, the sampling distribution of is approximately normal: ~N(mu, σ/√n)

Sampling distribution of the sample meanWe take many random samples of a given size n from a population with mean µ and standard deviationσ.
Some sample means will be above the population mean
µ and some
will be below, making up the sampling distribution.

Real life sichuation:

In the day to day life we use the sampling Distribution statistically and also non Statistically.

Here us the example suppose the in clinical trial doctor wants to know the new drug is effective or not. To study the drug effect doctor have to do clinical trails on patiant for that he has to select samples of patiants. In which he wants to apply probability distribution on Statistic to know the Statistically.

Here is the example.

Thank you.