A biologist was examining the length of ‘o‘opu (native fish) in 2 streams. ‘O‘op

Question

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

Explanation / Answer

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

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