| Womens Heights | Mens Heights |
| 5.8 | 5.9 |
| 5.6 | 6.0 |
| 5.3 | 5.9 |
| 5.6 | 6.0 |
| 5.7 | 6.4 |
| 5.4 | 6.1 |
| 5.0 | 6.0 |
| 5.3 | 6.1 |
| 5.5 | 5.4 |
| 5.3 | 5.9 |
| 6.2 | 6.1 |
| 5.8 | 5.9 |
| 5.3 | 5.4 |
| 5.5 | 5.5 |
| 5.9 | 6.3 |
| 5.3 | 5.3 |
| 5.5 | 5.3 |
| 5.1 | 5.6 |
| 4.6 | 5.8 |
| 6.1 | 5.8 |
| 5.4 | 5.5 |
| 5.0 | 5.2 |
| 4.9 | 5.9 |
| 5.9 | 6.8 |
| 5.3 | 5.9 |
| Women’s Heights | Men’s Heights |
Sample Mean | 5.452 | 5.84 |
5% Trimmed Mean | 5.4565 | 5.826 |
Median | 5.4 | 5.9 |
Range | .5 | |
IQR (Interquartile Range) | .4 | .5 |
Sample Variance | .14343 | .1425 |
Sample Standard Deviation | | .37749 |
PART 1
The height of women on the basketball team is argued to be 5.5feet tall. Test the data set of Women’s heights and determine ifthere is a statistically significant difference between the dataset and the test value of 5.5. Perform a 2-sided test and use asignificance level of 0.05. State your hypotheses Ho and Ha, thetest statistic, the p-value and your conclusion. Also, based onyour conclusion, what type of error (Type I or Type II) might haveyou committed? What is the probability associated with the type oferror you chose?
PART 2
The height of men on the basketball team is argued to be 6.1feet tall. Test the data set of Men’s heights and determine ifthere is a statistically significant difference between the dataset and the test value of 6.1. Perform a 2-sided test and use asignificance level of 0.05. State your hypotheses Ho and Ha, thetest statistic, the p-value and your conclusion. Also, based onyour conclusion, what type of error (Type I or Type II) might haveyou committed? What is the probability associated with the type oferror you chose?
PART 3
Calculate 95% confidence intervals for the true mean height ofWomen and true men height of Men. Interpret your confidenceintervals. Do they overlap. Based on whether the confidenceintervals overlap or not, what does this say about whether the truemean height of men could equal the true mean height of women?
