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

Seed: ys3474

Follow these instructions for the first set of questions:

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 150 samples with a sample size of 25

4. Press the Sample button

5. Use the bottom slider to scroll through and in-between the samples in order to answer questions 1 through 8.

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

- What is the value of the 25^th observation drawn in the first sample?

- How many observations in the second sample are greater than 8?

- Which observation is the largest in the third sample (1^st, 2^nd, etc.)?

- What is the value of the mean of the fifth sample?

- How many sample means are less than -3?

- How many observations in the last sample are less than -3?

- Anything noticeable about the distribution of the 100 sample means on the bottom graph?