Instruction 9-2
Microsoft Excel Was Used on a Set of Data

question 22

Short Answer

Instruction 9-2
Microsoft Excel was used on a set of data involving the number of parasites found in a random sample of 46 Blue Tiger butterflies captured in Kakadu National Park. A biologist wants to know if the mean number of parasites per butterfly is greater than 20. She will make her decision using a test with a level of significance of 0.10. The following information was extracted from the Microsoft Excel output for the sample of 46 butterflies:
$n = 46$ ; Arithmetic Mean $= 28.00$ ; Standard Deviation $= 25.92$ ; Standard Error $= 3.82$ ;
Null Hypothesis: $H _ { 0 } : \mu \leq 20.000 ; a = 0.10 ; \mathrm { df } = 45 ; T$ Test Statistic $= 2.09$ ;
One-Tailed Test Upper CriticalValue $= 1.3006 ; p$ value $= 0.021$ ; Decision $=$ Reject.
-Referring to Instruction 9-2,the power of the test is ________ if the mean number of parasites per butterfly on Blue Tiger butterflies in Kakadu National Park is 30 using a 0.1 level of significance and assuming that the population standard deviation is 25.92.

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Definitions:

Mixed Hemoglobinopathy

A blood disorder that includes characteristics of more than one type of hemoglobinopathy, affecting hemoglobin's structure or production.

Lethargy

A state of weariness, sluggishness, or lack of energy, which can be a symptom of various medical conditions or the result of physical or mental fatigue.

Protein Deficiency Anemia

A condition where a lack of protein in the diet leads to a reduction in the body's ability to produce healthy red blood cells, causing anemia.

Idiopathic Cryoglobulinemia

A disorder where abnormal proteins in the blood thicken in cold temperatures, possibly leading to blockage of blood vessels.