A Paired Difference Experiment Produced the Following Results $$n _ { d } = 40 , \bar { x } _ { 1 } = 18.4 , \bar { x } _ { 2 } = 19.7 , \bar { d } = - 1.3 , s _ { d } ^ { 2 } = 5$$

question 64

Essay

A paired difference experiment produced the following results. $$n _ { d } = 40 , \bar { x } _ { 1 } = 18.4 , \bar { x } _ { 2 } = 19.7 , \bar { d } = - 1.3 , s _ { d } ^ { 2 } = 5$$
Perform the appropriate test to determine whether there is sufficient evidence to conclude that $\mu 1 < \mu 2$ using $\alpha = .10$ .

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Definitions:

Association

A relationship or connection between two or more variables, where changes in one variable may be related to changes in another, though not necessarily causally.

Row Variable

In data analysis, a row variable refers to a variable that is represented by rows in a matrix or table format, distinguishing different observational units.

Column Variable

A variable represented by a column in a dataset, where each entry in the column represents a different value of the variable.

Continuous Distribution

A probability distribution that assumes an infinite number of possible values in a continuous range.