Consider the Following Data on Mass Rate of Burning X

question 44

Essay

Consider the following data on mass rate of burning x and flame length y: $$\begin{array}{l}\begin{array} { l l l l l l l l } \hline x & 1.7 & 2.2 & 2.3 & 2.6 & 2.7 & 3.0 & 3.2 \\\hline x & 1.3 & 1.8 & 1.6 & 2.0 & 2.1 & 2.2 & 3.0 \\\hline\end{array}\\\\\begin{array} { l l l l l l l } \hline x & 3.3 & 4.1 & 4.3 & 4.6 & 5.7 & 6.1 \\\hline x & 2.6 & 4.1 & 3.7 & 5.0 & 5.8 & 5.3 \\\hline\end{array}\end{array}$$
a. Estimate the parameters of a power function model.
b. Assume that the power function is an appropriate model, test $$H _ { 0 } : \beta = 4 / 3 \text { vs. } H _ { \pm } : \beta < 4 / 3 ,$$
using a level .05 test.
c. Test the null hypothesis that states that the median flame length when burning rate is 5.0 is twice the median flame length when burning rate is 2.5 against the alternative that this is not the case.

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Definitions:

Bipolar Disorder

A mood disorder featuring manic episodes followed by depressive episodes.

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A phase characterized by prolonged feelings of sadness, hopelessness, and a lack of interest or pleasure in activities, significantly impairing daily functioning.

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A state of heightened emotional state, which can be positive, such as feeling more joyful than usual.

Schizophrenia

A mental disorder characterized by disordered thinking, perceptions, and delusions.