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:

Underestimated

describes judging something or someone to be lower in value, strength, or importance than it actually is.

Cognitive Abilities

Mental capabilities that include thinking, reasoning, problem-solving, and information processing.

Synapses

The junctions through which neurons signal to each other or to non-neuronal cells such as those in muscles or glands.

Adds Weight

Adds weight refers to the process or act of increasing the heaviness or mass of something, often used metaphorically to emphasize the importance or seriousness of a matter.