The Following Data Are Believed to Have Come from a Normal

question 39

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:

Research Question

A clear, focused, concise, and answerable question that guides a study or research project.

Significantly Correlated

A statistical relationship between two variables where changes in one variable are reliably associated with changes in another variable, often verified through statistical tests.

Caffeine Consumed

The amount of caffeine intake in a given period; not a key term in a statistical or general scientific context, thus NO.

P < 0.05

A statistical significance level indicating that there is less than a 5% probability the observed results occurred by chance, suggesting a significant difference or effect.