Link: https://stats-interactives.ctl.columbia.edu/central-limit-theorem

Seed: ys3474

Follow these instructions for the third set of questions:

1. You will set the parameters of the simulation as follows

• Distribution type: Right skewed population
• Mean: 0
• Standard Deviation: 4

2. Now click on the Generate Population button

3. Now draw 500 samples with a sample size of 5

4. Press the Sample button

5. Use the bottom slider to scroll through and in-between the samples in order to answer questions.

- What is the value of the first observation drawn in the first sample?

- What is the value of the sample mean of the 5^th sample?

- Anything noticeable about the distribution of 500 sample means on the bottom graph?

[CHANGE THE SETTING]

1. You will set the parameters of the simulation as follows

• Distribution type: Normal population
• Mean: 0
• Standard Deviation: 4

2. Now click on the Generate Population button

3. Now draw 1000 samples with a sample size of 5

4. Press the Sample button

5. Use the bottom slider to scroll through and in-between the samples in order to answer the questions.

- What is the value of the first observation drawn in the first sample?

- What is the value of the sample mean of the 5^th sample?

- Anything noticeable about the distribution of 1000 sample means on the bottom graph?