Preliminary Data Analyses Indicate That You Can Reasonably Use Nonpooled

question 22

Essay

Preliminary data analyses indicate that you can reasonably use nonpooled t-procedures on the given data. Apply anonpooled t-test to perform the required hypothesis test, using either the critical-value approach or the P-value approachas indicated.
-A researcher was interested in comparing the amount of time 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.
$\begin{array} { r | r } \text { Women } & \text { Men } \\ \hline \mathrm { x } _ { 1 } = 12.6 & \mathrm { x } _ { 2 } = 14.1 \\ \mathrm {~s} _ { 1 } = 3.9 & \mathrm {~s} _ { 2 } = 5.2 \\ \mathrm { n } _ { 1 } = 14 & \mathrm { n } _ { 2 } = 17 \end{array}$
At the 5% significance level, do the data provide sufficient evidence to conclude that the mean amount of time spent watching television by women is less than the mean amount of time spent watching television by men? Use the critical-value approach.

---

Definitions:

Nuclear Waste

Radioactive byproducts resulting from the operation of nuclear reactors, research, and medical procedures, requiring careful disposal to avoid environmental harm.

Mainstream Environmentalism

A movement advocating for the sustainable management of natural resources and protection of the environment within the context of existing societal norms and policies.

Green Party

A U.S. political party established in 1984 to bring political attention to environmentalism, social justice, diversity, and related principles.

Social Justice

A concept of fair and just relations between the individual and society, measured by the distribution of wealth, opportunities for personal activity, and social privileges.