You have a sample of 100 values from a population with mean µ = 500 and with standard deviation σ = 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).