[Question]How to find lower bound for this exercise

• cuongbui1702
In summary, the lower bound for an exercise is the minimum possible value or limit of a variable or equation. It can be determined by analyzing the given data or equation and using mathematical techniques. Finding the lower bound is significant because it helps understand the range of possible values, serves as a starting point for further analysis, and identifies errors or outliers. There are various methods and techniques for finding the lower bound, and it can change depending on the context of the exercise. In rare cases, an exercise may not have a lower bound, in which alternative methods or assumptions may be necessary.
cuongbui1702

Homework Statement

Apply the Central limit theorem to evaluate approximately the lower bound for the probability that the difference between the relative frequency p^ and p is less than 0.01, if n = 4500

Homework Equations

This exercise do not give me the confidence interval? What function can help me solve this problem

The Attempt at a Solution

I think in this problem, i will choose random p^, p and the different between them is 0.01 => find approximately Za/2 => i have lower bound

It would be a good idea to start by stating the "central limit theorem". That might give you some ideas.

1. How do I determine the lower bound for this exercise?

The lower bound for an exercise refers to the minimum possible value or limit of a variable or equation. To determine the lower bound, you will need to analyze the given data or equation and consider any constraints or limitations. You can also use mathematical techniques such as differentiation or integration to find the lower bound.

2. What is the significance of finding the lower bound for an exercise?

Finding the lower bound is important because it can help you understand the range of possible values for a variable or equation. It can also give you a baseline or starting point for further analysis or optimization. Additionally, knowing the lower bound can help you identify any errors or outliers in your data.

3. Are there any specific methods or techniques for finding the lower bound?

Yes, there are various methods and techniques that can be used to find the lower bound. These include using mathematical models, statistical analysis, and computer algorithms. The specific method will depend on the type of exercise and the data or equation provided.

4. Can the lower bound change depending on the context of the exercise?

Yes, the lower bound can change depending on the context of the exercise. Different scenarios or constraints may result in different lower bounds. It is important to carefully consider all aspects of the exercise when determining the lower bound.

5. Is it possible for an exercise to have no lower bound?

In most cases, an exercise will have a lower bound. However, there are certain situations where a lower bound may not exist. This could be due to a lack of data or extreme variability in the data. In these cases, it may be necessary to use alternative methods or assumptions to determine a lower bound.

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