A biologist was examining the length of oopu native fish in
A biologist was examining the length of ‘o‘opu (native fish) in 2 streams. ‘O‘opu length was measured (mm)
Using Minitab Is there a significant difference in length between the 2 streams? (don’t worry about checking assumptions here) (report appropriate test, test statistic, and P value)
What was the Power to detect a difference? Does this have anything to do with your ability/inability to detect a difference?
What would the sample size have to be in order to detect the difference you determined, assuming a power of 0.80?
please show all work
| stream 1 | stream2 |
| 19 | 25 |
| 22 | 24 |
| 23 | 24 |
| 23 | 28 |
| 22 | 22 |
| 19 | 19 |
| 24 | 22 |
| 15 | 16 |
| 18 | 17 |
| 14 | 15 |
| 17 | 17 |
Solution
using minitab
T de dos muestras para stream 1 vs. stream2
Error
estándar
de la
N Media Desv.Est. media
stream 1 11 19.64 3.41 1.0
stream2 11 20.82 4.26 1.3
Diferencia = mu (stream 1) - mu (stream2)
Estimado de la diferencia: -1.18
IC de 95% para la diferencia: (-4.63, 2.26)
Prueba T de diferencia = 0 (vs. no =): Valor T = -0.72 Valor P = 0.482 GL =
19
