The Following Data Are Believed to Have Come from a Normal

question 67

Essay

The following data are believed to have come from a normal probability distribution. $$\begin{array} { | r | r | r | r | r | r | r | r | r | r | } \hline 26 & 21 & 25 & 20 & 21 & 29 & 26 & 23 & 22 & 24 \\\hline 24 & 30 & 23 & 32 & 26 & 24 & 32 & 16 & 36 & 26 \\\hline 21 & 31 & 26 & 23 & 32 & 35 & 40 & 30 & 14 & 26 \\\hline 46 & 27 & 33 & 25 & 27 & 21 & 26 & 18 & 29 & 36 \\\hline\end{array}$$ The mean of this sample equals 26.80, and the standard deviation equals 6.378. Use the goodness-of-fit test at the 5% significance level to test this claim.

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Definitions:

Vitamin D Formation

The synthesis of vitamin D in the skin under the influence of ultraviolet radiation from sunlight, important for calcium absorption and bone health.

Bone Remodeling

The continuous process where old bone is replaced by new bone tissue, maintaining the integrity and strength of the skeleton.

Adjust to Stress

The process by which organisms attempt to maintain homeostasis and respond to physical or psychological challenges through behavioral or physiological changes.

Fractures Heal

The natural process of bone repair after a break or crack, typically involving the formation of a blood clot followed by the growth of new bone tissue.