Question

1) Can a single study with a single sample provide definitive proof about a behavior? Why or why not?

2) Briefly define inferential statistics? What is the distribution of sample means? How does the concept of probability and the distribution of sample means relate to the testing of a hypothesis?

Step 1

In any study in general there will be a population with lot of data. The testing is done on one or more samples and then the conclusions will be drawn accordingly. But one good sample drawn will contain most of the information about the population and true inference can be made about population from the sample. A well chosen sample must be random and each element in poplation have non zero chance of being selected and every elemnt have equal chances and sample should be large enough to conduct the study. In this case A single sample can provide definite proof about a behaviour in a single study.

Step 2

Inferential statistics is selecting a sample from a population and by testing the population we make conclusions about the population parameter and make inferences and predictions about the population.

Step 3

When we draw samples from a population which have a mean µ and stadnard deviation σ. The mean of all the sample means (xbar) will be population mean. If the population from which...

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