A species of marinearthropod lives in seawater that contains calcium in aconcentration of 32 mmole/kg of sea water. Thirteen of the animalsare collected and the calcium concentration in coelomic fluid aredetermined. Results are summarized in the table below. A researcherplans to use these data to test H0: (mu) = 32 versus HA: (mu) (DNE)32 at a significance level of 0.05, where (mu) = the mean calciumconcentration in this arthropod’s coelomic fluid.
Mean | 29.76923 |
Median | 30 |
Standard Deviation | 1.786703 |
Sample Variance | 3.192308 |
Range | 6 |
Minimum | 27 |
Maximum | 33 |
Sum | 387 |
Count | 13 |
4. Compute the powerof the test when (mu) = 31.5.
5. Determine the sample size necessary in order to achieve a powerof 80% when (mu) = 31.5.