Question

You will be performing an analysis on heights in the US population, broken out by gender. You will need to know that US heights for males and females both follow an approximately normal distribution. The average height for women is 63.7 inches and a standard deviation of 2.7 inches. The average height for men is 69.1 inches and a standard deviation of 2.9 inches. You will use these numbers in your calculations.

Steps (all statistical analysis to be done in Excel and/or StatCrunch):

1. Collect the heights from 5 females and 5 males that you know. Make sure that you put all heights into inches. Include yourself in the analysis (as one of the 10).
2. Normal Distribution application:
   1. Calculate z-scores for each of the selected people and provide interpretations for at least 2 of your z-scores (after looking up probabilities on the table). You also need to include interpretations that indicate how “rare” your observations are in the body of your paper. (Ex: Individual A from my sample with a height of ______ had a corresponding z-score of _____. This means that _______% of people are taller/shorter than him/her)
   2. Include one graphic that shows the normal curve along with labels for the middle 68%, 95% and 99.7%. Also show where your own height is on the curve along with an interpretation of how relatively “tall” or “short” you are in comparison with the rest of your gender.
   3. Calculate the mean of your male heights and female heights and compare this with the population mean (is it above/below – why is it not exact).
   4. Calculate z-scores for the average heights of WNBA and NBA players (typically much taller than the average person) and also male jockeys (typically quite a bit shorter than the average person). Provide interpretations for each.
   5. Note my height = 5'6 and you can assume other heights bit different but not the same.

Answer 1

Female

Male

The above analysis performed in R. You can use any tool to do the same but the imp thing is to be able to interpret the results which I have explained above.

Hope the above answer has helped you in understanding the problem. Please upvote the ans if it has really helped you. Good Luck!!