Instruction 9-7
Microsoft Excel Was Used on a Set $n = 46$

question 10

True/False

Instruction 9-7
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 9-7,the null hypothesis would be rejected if a 5% probability of committing a Type I error is allowed.

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Definitions:

Sample Size

The number of observations or data points collected in a sample, which can influence the accuracy and reliability of statistical estimates.

Degrees of Freedom

Degrees of freedom refer to the number of values in a statistical calculation that are free to vary without violating the constraints of the calculation.

Population Standard Deviation

A measure of the dispersion or variability within a population data set, indicating how spread out the data points are from the mean.

Interval Estimate

An estimate of a population parameter that gives an interval believed to contain the parameter.