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.

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Definitions:

Evolve

The gradual development of organisms or species through a process of change and selection over successive generations, leading to biodiversity and complexity in the biological world.

Replication Rate

The speed at which genetic material or organisms reproduce or duplicate themselves.

Mutation Rate

The frequency at which new genetic mutations occur in a given gene, population, or organism over time.

Cetacean Diversity

The variety of species within the cetacean order, which includes whales, dolphins, and porpoises, representing a wide range of ecological and morphological adaptations.