Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions

question 89

Essay

Preliminary data analyses indicate that you can reasonably consider the assumptions for using pooled t-proceduressatisfied. Perform the required hypothesis test by using either the critical-value approach or the P-value approach asindicated.
-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.
$\begin{array} { c | c } \text { Women } & \text { Men } \\ \overline { \mathrm { x } } _ { 1 } = 11.9 & \mathrm { x } _ { 2 } = 17.1 \\ \mathrm {~s} _ { 1 } = 4.1 & \mathrm {~s} _ { 2 } = 4.8 \\ \mathrm { n } _ { 1 } = 14 & \mathrm { n } _ { 2 } = 17 \end{array}$
At the 5% significance level, do the data provide sufficient evidence to conclude that the mean time spent watching television by women is less than the mean time spent watching television by men? Use the critical-value approach.

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Definitions:

Gift-Giving Ritual

A social and cultural practice involving the giving of gifts as part of a ceremony or celebration, often symbolizing goodwill, respect, or social bonds.

Overtime

refers to time worked by an employee beyond their regular working hours, typically compensated at a higher rate.

Private Bill

A proposal for a law that would apply to a particular individual or group of individuals, or corporate entity, unlike public bills which apply to everyone within their jurisdiction.

Citizenship

The status of being a citizen, entailing specific rights, duties, and privileges; typically involves a legal relationship between an individual and a nation-state.