Find a Normal Distribution (cite your source!!!) that mirrors real-life data. Common data that follow a Normal Distribution are test scores, weights and heights.

Please state why the data you chose follow a Normal Distribution.

Be sure to state the mean value and the standard deviation value for the Normal Distribution you choose. Use this information to answer the following questions:

1) Pick a likely value for comparison to the mean. For example, if mean = 10 and standard deviation = 2, then possibly pick a value like 13. Find the probability that there will be a value less than the value you picked (for example 13 vs mean = 10). Find the probability that there will be a value greater than the value you picked (for example 13 vs mean = 10).

2) Now pick two values to compare to the mean. For example if mean = 10 and standard deviation = 2, then possibly pick values of 9 and 13. Find the probability of having a value that is between the two values you chose (for example 9 and 13 vs mean = 10).

3) Suppose you find a similar Normal Distribution to the one you chose that has a different mean value but the same standard deviation value. (For example mean = 12 and standard deviation = 2) How will this be similar or different from the original distribution you chose to work with?

4) Suppose you find a similar Normal Distribution to the one you chose that has the same mean value but a different standard deviation value. (For example mean = 10 and standard deviation = 5) How will this be similar or different from the original distribution you chose to work with?

I choose the the average height in females in the united states. 64.5 for the mean and 2.5 for the standard deviation. Can you show your work. I'm a little confused on this. thanks