Following Is a Sample of Five Matched Pairs $\begin{array}{llllll}\hline \text { Sample 1 } & 15 & 20 & 19 & 20 & 16 \\\text { Sample 2 } & 23 & 18 & 23 & 19 & 18 \\\hline\end{array}$

question 26

Multiple Choice

Following is a sample of five matched pairs.
$\begin{array}{llllll}\hline \text { Sample 1 } & 15 & 20 & 19 & 20 & 16 \\\text { Sample 2 } & 23 & 18 & 23 & 19 & 18 \\\hline\end{array}$

Let $\mu _ { 1 }$ and $\mu _ { 2 }$ represent the population means and let $\mu _ { \mathrm { d } } = \mu _ { 1 } - \mu _ { 2 }$ . A test will be made of the hypotheses $H _ { 0 } : \mu _ { \mathrm { d } } = 0$ versus $H _ { 1 } : \mu _ { \mathrm { d } } > 0$ . Compute the test statistic.

• A) -1.222
• B) -0.984
• C) -0.547
• D) -2.452

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Definitions:

Sign Test

A nonparametric statistical test used to determine if there are differences between two paired samples.

T-test

A statistical method used to determine if there is a significant difference between the means of two groups, which may be related in certain features.

Nonparametric Technique

Statistical methods that do not assume a particular distribution for the data, often used when data doesn't fit standard distributions.

Population Distributions

The spread of characteristics (e.g., age, income) within a whole population, or the distribution of values of a variable across the entire population.