Preliminary Data Analyses Indicate That You Can Reasonably Use Nonpooled

question 3

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 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: $$\begin{array} { r | r } \text { Sample } 1 \text { (women) } & \text { Sample } 2 \text { (men) } \\ \hline \overline { \mathrm { x } } _ { 1 } = 12.3 & \overline { \mathrm { x } } _ { 2 } = 14.1 \\ \mathrm {~s} _ { 1 } = 3.9 & \mathrm {~s} _ { 2 } = 5.2 \\ \mathrm { n } _ { 1 } = 14 & \mathrm { n } _ { 2 } = 17 \end{array}$$ 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 P-value approach.

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Definitions:

Red Flag Incident

A warning or indication of a potential problem, danger, or impending trouble, often used in a context where prompt attention is required.

Teletype (TTY) Device

A specially designed telephone that looks very much like a laptop computer with a cradle for the receiver of a traditional telephone. It is used by the hearing impaired to type communications onto a keyboard.

Hearing-Impaired

A term referring to individuals who have partial or total inability to hear.

Relay Service

A communication service for individuals with hearing or speech disabilities, facilitating telephone conversations with the assistance of an operator.