A species of marine arthropod lives in seawater that contains calcium in a concentration of 32 mmole/kg...

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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 arthropodâ€™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.

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3.9 Ratings (392 Votes)

4We need to compute the probability of a type II error as well as the statistical power for this twotailedtest for the given significance level of 005 and asample size of n 13 The critical value in this case is zc 196In this case the effect size passed is The statistical power will be computed using this value of theeffect size d 096869 005 n 13For all the purposes See Answer

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Mean	29.76923
Median	30
Standard Deviation	1.786703
Sample Variance	3.192308
Range	6
Minimum	27
Maximum	33
Sum	387
Count	13