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

question 169

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 18 using a 0.05 level of significance and assuming that the population standard deviation is 25.92.

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Definitions:

Epinephrine

Also known as adrenaline, epinephrine is a hormone and neurotransmitter that plays a key role in the body’s fight-or-flight response.

Norepinephrine

A neurotransmitter and hormone important in the fight or flight response, involved in arousal and regulation of blood pressure.

Adrenal Gland

A gland above the kidney that produces hormones related to stress responses and blood pressure regulation.

Hormone

A chemical substance produced in the body that regulates and controls the activity of certain cells or organs.