If $\mathrm { s } _ { 1 } = 0.0782 , \mathrm { n } _ { 1 } = 9 , \mathrm {~s} _ { 2 } = 0.1897 , \text { and } \mathrm { n } _ { 2 } = 10$

question 96

Essay

If $\mathrm { s } _ { 1 } = 0.0782 , \mathrm { n } _ { 1 } = 9 , \mathrm {~s} _ { 2 } = 0.1897 , \text { and } \mathrm { n } _ { 2 } = 10$ test whether $\sigma 1 < \sigma _ { 2 }$ at the α = 0.05level of significance. Assume the populations are normally distributed.

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Definitions:

External Factors

Variables outside an individual or system that can affect its performance or behavior, such as socio-economic conditions, environmental changes, and technological advancements.

Internal Factors

Elements or forces within an individual or organization that affect behavior, decisions, and performance.

Companionate Love

A deep, affectionate attachment we feel for those with whom our lives are intertwined, characterized by mutual respect, affection, and long-term commitment.

Passionate Love

Passionate love is an intense emotional state characterized by romantic attraction, physical desire, and engagement that often initiates relationships.