Conduct Inference on the Slope
-A Breeder of Thoroughbred Horses $\alpha = 0.05$

question 3

Essay

Conduct Inference on the Slope
-A breeder of thoroughbred horses wishes to model the relationship between the gestation period and the length of life of a horse. The breeder believes that the two variables may follow a linear trend. The information in the table was supplied to the breeder from various thoroughbred stables across the state. Test the claim, at the $\alpha = 0.05$ level of significance, that a linear relation exists between the gestation period and the length of life of a horse.
$\begin{array} { c c c c c c } \text { Horse } & \text { Gestation } & \text { Life } & \text { Horse } & \text { Gestation } & \text { Life } \\ & \text { period } & \text { Length } & & \text { period } & \text { Length } \\ & x \text { (days) } & y \text { (years) } & & \text { x (days) } & \text { y (years) } \\ 1 & 416 & 24 & 5 & 356 & 22 \\ 2 & 279 & 25.5 & 6 & 403 & 23.5 \\ 3 & 298 & 20 & 7 & 265 & 21 \\ 4 & 307 & 21.5 & & & \end{array}$

---

Definitions:

Test-Retest Reliability

A measure of the consistency of a psychological test or assessment, determined by comparing the scores of the same individuals on two separate occasions.

Logical Reasoning Test

An assessment used to evaluate an individual's ability to reason, make deductions, and solve problems using logic.

Criterion-Related Validity

A measure of how well one variable or set of data predicts an outcome based on information from other variables, used in psychometrics and assessment.

Reference Group

A group to which an individual compares themselves, influencing their attitudes and behavior.