Determine Whether the Samples Are Independent or Dependent Use a 005 Significance Level to Test the Claim That the Mean

question 57

Essay

Determine whether the samples are independent or dependent.
-A researcher was interested in comparing the amount of time (in hours) spent watching television by women
and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was
asked how many hours he or she had watched television during the previous week. The summary statistics are
as follows. $$\begin{array} { | l | l | } \hline \text { Women } & \text { Men } \\\overline { \mathrm { x } } _ { 1 } = 12.5 \mathrm { hr } & \overline { \mathrm { x } } _ { 2 } = 13.8 \mathrm { hr } \\\mathrm { s } _ { 1 } = 3.9 \mathrm { hr } & \mathrm { s } _ { 2 } = 5.2 \mathrm { hr } \\\mathrm { n } _ { 1 } = 14 & \mathrm { n } _ { 2 } = 17 \\\hline\end{array}$$ Use a 0.05 significance level to test the claim that the mean amount of time spent watching television by women
is smaller than the mean amount of time spent watching television by men. Use the traditional method of
hypothesis testing.

---

Definitions:

Spatial Differentiation

The degree to which locations of an organization's units are physically separated, impacting coordination and operational efficiency.

Circular Differentiation

The process of distinguishing entities or elements in a system based on their roles, attributes, or positions in a circular, rather than linear, hierarchy.

Lateral Differentiation

The way in which an organization segregates its operations and responsibilities across the same hierarchical level.

Standardization

The process of implementing and developing technical standards to ensure consistency and compatibility within products, services, or processes.