A Random Sample of Size 15 Taken from a Normally

question 17

Short Answer

A random sample of size 15 taken from a normally distributed population revealed a sample mean of 75 and a sample variance of 25. The upper limit of a 95% confidence interval for the population mean would equal: $\begin{array}{|l|l|}\hline\text { A. } & 77.769 \\\hline \text { B. } & 72.231 \\\hline \text { C. } & 72.727 \\\hline \text { D. } & 77.273 \\\hline\end{array}$

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Definitions:

Two-tail

A term used in statistical tests where the critical region is split between both ends of the distribution, testing for either significantly greater or lesser outcomes than the expected value.

Kruskal-Wallis Test

A non-parametric method for testing whether samples originate from the same distribution, often used as an alternative to one-way ANOVA when the assumptions of ANOVA are not met.

ANOVA F Test

A statistical test used to determine if there are any statistically significant differences between the means of three or more independent groups.

Completely Randomized Experiments

Experimental designs where all subjects are allocated to groups based only on chance, reducing systematic bias.