# Statistics Discussion Questions (Research and Evaluation)

Why would you use a small sample to draw inference about a large population?

What is the difference between a sample parameter (X-bar and s) and a proportion parameter (p)?

What are nominal, ordinal, interval, and ratio measures? Explain

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#### Solution Preview

Why would you use a small sample to draw inference about a large population?

Solution:

For the below reasons we use sample instead of population in drawing inference about the population.

1. To inspect every unit of the population is time consuming. For example, consider there is 1000 bags of tomato if you want to inspect every tomato then it would consume a lot of time instead if we select 5 tomato per bag then we would complete the inspection easier.

2. To inspect every unit we have to spend a lot of money rather to inspect the sample.

Also, the sample inspection will be consistent.

What is the difference between a sample parameter (X-bar and s) and a proportion parameter (p)?

Solution:

The sample parameter X-bar represents the mean of the sample similarly s represents the standard deviation of the sample. The proportion parameter p represents the percentage or frequency of occurrence of particular unit.

What are nominal, ordinal, interval, and ratio measures? Explain

Solution:

Data comes in ...

#### Solution Summary

This solution answers three questions regarding statistics discussions on research and evaluation.