NASA DATA MEAN SD

Males 175.6 7.1

Females 162.6 6.4

1. Using the pen-and-paper approach show how you would compute the probability of a single American adult woman being taller than 180 cm? Assume heights are normally distributed. Now use R to compute your final answer. (Hint: the data for this question are in the NASA table above.)
2. If a sample ofn=10
3. n=10adult American women are selected what is the mean and standard deviation of the sample mean height?
4. What is the probability that the mean height of these 10 women is 180 cm or higher? Show how to answer this question using 'pen-and-paper', and then use R to compute your answer.
5. How does the probability from part a. compare to the probability from part c?