A recent study that examined bone strength collected data from cadaveric femurs from subjects in three age groups. The data are below. Does mean bone strength differ for the three age groups? Use a 5% level of significance. Make sure to 1. give the null and alternative hypotheses, 2. calculate the test statistic, and 3. give the conclusion (including a comparison to alpha or the critical value)
| Young |
Middle Age |
Elderly |
| 193.6 |
125.4 |
59.0 |
| 122.0 |
83.5 |
88.6 |
| 123.0 |
94.5 |
84.5 |
| 117.0 |
83.3 |
51.2 |
| 99.9 |
115.6 |
57.4 |
| 112.8 |
72.3 |
78.2 |
| 137.5 |
99.7 |
96.7 |
| 100.6 |
|
78.3 |