Discuss the folloiwng:
Q1: What is the probability that a person selected at random from the colected data will be male?
| Gender |
| F |
| F |
| F |
| M |
| F |
| F |
| M |
| M |
| M |
| F |
| M |
| F |
| M |
| F |
| M |
| M |
| F |
| F |
| M |
| M |
| F |
| F |
| M |
| M |
| F |
| F |
| M |
| F |
| F |
| F |
| M |
| M |
| F |
| M |
| F |
| F |
| M |
| F |
| F |
| M |
| F |
| M |
| F |
| M |
| F |
| M |
| M |
| F |
| F |
| M |
| F |
| F |
Q2: What is the probablity that a person selected at random from the colected data will be under 25 years of age or over 50 years of age? Height is generally considered to be randomly distributed. The mean height for U.S. males is about 69" with a standard deviation of 2.8".
| Subject Age |
| 16 |
| 17 |
| 18 |
| 18 |
| 18 |
| 25 |
| 25 |
| 26 |
| 26 |
| 26 |
| 27 |
| 27 |
| 27 |
| 28 |
| 30 |
| 30 |
| 30 |
| 31 |
| 31 |
| 31 |
| 32 |
| 32 |
| 32 |
| 33 |
| 36 |
| 36 |
| 37 |
| 37 |
| 37 |
| 38 |
| 38 |
| 38 |
| 39 |
| 39 |
| 39 |
| 40 |
| 40 |
| 40 |
| 41 |
| 41 |
| 41 |
| 57 |
| 57 |
| 57 |
| 58 |
| 58 |
| 59 |
| 60 |
| 61 |
| 62 |
| 64 |
| 66 |
Q3: Do a random sample of n=25 from the heights of men in the colected data.
a) Find the mean and standard deviation for height of the sample.
b) How representative is this sample of the heights of U.S. males? Give statistical evidence for your opinion.
| Gender |
Height (in) |
| M |
65 |
| M |
66 |
| M |
72 |
| M |
70 |
| M |
70 |
| M |
72 |
| M |
74 |
| M |
72 |
| M |
67 |
| M |
72 |
| M |
68 |
| M |
68 |
| M |
71 |
| M |
70 |
| M |
71 |
| M |
71 |
| M |
73 |
| M |
73 |
| M |
72 |
| M |
72 |
| M |
70 |
| M |
74 |
| M |
68 |
| M |
68 |
| M |
65 |
|
25 |
Q4: Use whatever statistical tools will help you to answer the questions below. Take the HWAS data as a sample of online statistics students.
Assume that the distribution is normal.
a) Describe the distribution of heights for students (male and female).
b) What height range is likely to hold 95% of the students?
c) Describe the distribution of heights for female.
d) Describe the distribution of heights for male.
e) Is a woman more likely to be taller than the average man or is a man more likely to be shorter than the average woman? Give statistical evidence for your answer.
| Gender |
Height (in) |
| F |
69 |
| F |
68 |
| F |
69 |
| M |
72 |
| F |
66 |
| F |
64 |
| M |
70 |
| M |
70 |
| M |
72 |
| F |
64 |
| M |
74 |
| F |
64 |
| M |
72 |
| F |
69 |
| M |
67 |
| M |
72 |
| F |
65 |
| F |
66 |
| M |
68 |
| M |
68 |
| F |
68 |
| F |
63 |
| M |
71 |
| M |
70 |
| F |
65 |
| F |
63 |
| M |
71 |
| F |
62 |
| F |
62 |
| F |
68 |
| M |
71 |
| M |
73 |
| F |
69 |
| M |
73 |
| F |
64 |
| F |
60 |
| M |
72 |
| F |
66 |
| F |
64 |
| M |
72 |
| F |
63 |
| M |
70 |
| F |
63 |
| M |
74 |
| F |
62 |
| M |
68 |
| M |
68 |
| F |
67 |
| F |
68 |
| M |
65 |
| F |
65 |
| F |
66 |