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TABLE 9-1
Microsoft Excel Was Used on a Set of Data

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TABLE 9-1
Microsoft Excel was used on a set of data involving the number of parasites found on 46 Monarch butterflies captured in
Pismo Beach State Park. A biologist wants to know if the mean number of parasites per butterfly is over 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 Monarch butterflies:

n=46; Arithmetic Mean =28.00; Standard Deviation =25.92; Standard Error =3.82; Null Hypothesis:H0:μ20.000;α=0.10;df=45;T Test Statistic=2.09; One-Tailed Test Upper Critical Value=1.3006; p-value=0.021; Decision = Reject.\begin{array}{llcc} \hline n=46 ; \text { Arithmetic Mean }=28.00 ; \text { Standard Deviation }=25.92 ; \text { Standard Error }=3.82 ; \\\text { Null Hypothesis:} H_{0}: \mu \leq 20.000 ; \alpha=0.10 ; d f=45 ; T \text { Test Statistic} = 2.09;\\\text { One-Tailed Test Upper Critical Value} =1.3006 ;\text { p-value} =0.021 ; \text { Decision = Reject.}\\\hline\end{array}

-Referring to Table 9-1, the probability of committing a Type II error is _____ if the mean number of parasites per butterfly on Monarch butterflies in Pismo Beach State Park is 30 using a 0.1 level of significance and assuming that the population standard deviation is 25.92.


Definitions:

Clairvoyance

The claimed capacity to acquire knowledge on objects, individuals, sites, or physical occurrences through channels beyond the conventional human senses.

Precognition

The purported ability to perceive or predict future events before they happen, a phenomenon not supported by scientific evidence.

Lightness Constancy

The perception that the whiteness (lightness) of an object remains the same under varying illumination conditions.

Relative Luminance

A measure of the amount of light that is emitted, passed through, or reflected from a surface, adjusted for the sensitivity of the human eye.

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