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

question 173

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 probability of committing a Type II error is ________ if the mean number of parasites per butterfly on Blue Tiger butterflies in Kakadu National Park is 30 using a 0.05 level of significance and assuming that the population standard deviation is 25.92.

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Definitions:

Dendritic Cell

Phagocytic white blood cell that specializes in antigen presentation during adaptive immune responses.

Naive T Cells

Immature T cells that have not yet encountered their specific antigen and thus have not been activated.

AIDS

Acquired Immunodeficiency Syndrome, a chronic, potentially life-threatening condition caused by the human immunodeficiency virus (HIV), which damages the immune system, undermining the body's ability to fight infections and diseases.

Sexual Intercourse

The physical act between two individuals that involves genital contact and the exchange of bodily fluids, often resulting in reproduction in sexually reproducing species.