LEARN THE ABOUT STATISTICS AND PROBABILITY

Probability And Statistics are the two important concepts in Maths. Probability is all about chance. Whereas statistics is more about how we handle various data using different techniques. It helps to represent complicated data in a very easy and understandable way.

1. statistics AND PROBABILITY MODULE 4: LENGTH OF CONFIDENCE INTERVAL

2. STATISTICS AND PROBABILITY Probability And Statistics are the two important concepts in Maths . Probability is all about chance. Whereas statistics is more about how we handle various data using different techniques. It helps to represent complicated data in a very easy and understandable way.

3. DELETE! Before we understand the confidence Interval, let us first understand what do we mean by “ Estimate “. Everyone makes some kinds of estimates at some point of time in their life. Imagine that you are crossing the road, and you see the car that is approaching you fast and now you can estimate the speed of that same car that is approaching you. Based on this estimate you can make your decision if you to wait, walk or run. This is called  Estimate .

4. Question! How do you understand confidence level and sample size? The larger your sample, the more sure you can be that their answers truly reflect the population. This indicates that for a given confidence level, the larger your sample size, the smaller your confidence interval. .

5. LENGTH OF CONFIDENCE INTERVAL CONFIDENCE INTERVAL- In statistics, this refers to the probability that a Population parameter will fall between a set of values for a certain proportion of times. Confidence intervals measure the degree of uncertainty or certainty in a sampling method. They can take any number of probability limits, with the most common being a 95% or 99% confidence level.

6. CONFIDENCE INTERVAL

7. NARROWNESS OF THE INTERVAL This pertains to a small width in relation to the length of the confidence interval .

8. EXAMPLE

9. FORMULA Where: LCI = |UCL – LCL| = |LCL – UCL| Or LCI = UCL – LCL LCI – length of confidence interval UCL – upper confidence limit LCL – lower confidence limit

10. EXAMPLE Example 1. Find the length of the confidence interval 0. 275<p<0.360 Example 2. Find the length of the confidence interval upper confidence limit = 0.805 lower confidence limit = 0.526

11. WORKSHEET 1

12. statistics AND PROBABILITY APPROPRIATE SAMPLE SIZE

13. EXAMPLE

14. EXAMPLE