You have a sample of 100 values from a population with mean Âµ = 500 and with standard deviation Ïƒ = 80. Compute the interval that covers the middle 95% of the distribution of the sample mean. i.e, compute and such that P( < x < ) = 0.95

**Submission Modes and Output Format**

You may either solve the problem on pen-and-paper and submit the final answer in the text box, or you may submit an R or Python program to accomplish the above task. Your output should contain the **two floating point/decimal numbers** each on a new line, correct to 2 places of decimal.

In the text box below, enter the two floating point/decimal numbers, correct to 2 places of decimal, each on a new line.

Alternatively, you may submit an

**R/Python**program, which uses the provided parameters (hard-coded) and computes the answer.

Your answer should resemble something like:

```
100.10
200.35
```

(This is **NOT** the answer, just a demonstration of what the answering format should resemble).