Determine Whether the Samples Are Independent or Dependent Use a 005 Significance Level to Test the Claim That the Mean

question 57

Essay

Determine whether the samples are independent or dependent.
-A researcher was interested in comparing the amount of time (in hours) 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. $$\begin{array} { | l | l | } \hline \text { Women } & \text { Men } \\\overline { \mathrm { x } } _ { 1 } = 12.5 \mathrm { hr } & \overline { \mathrm { x } } _ { 2 } = 13.8 \mathrm { hr } \\\mathrm { s } _ { 1 } = 3.9 \mathrm { hr } & \mathrm { s } _ { 2 } = 5.2 \mathrm { hr } \\\mathrm { n } _ { 1 } = 14 & \mathrm { n } _ { 2 } = 17 \\\hline\end{array}$$ Use a 0.05 significance level to test the claim that the mean amount of time spent watching television by women
is smaller than the mean amount of time spent watching television by men. Use the traditional method of
hypothesis testing.

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Definitions:

Activation Energy

The minimum amount of energy that must be provided to compounds to result in a chemical reaction.

Gaseous Products

The substances formed as a result of a chemical reaction that exist in the gas state at room temperature.

Thermal Energy

the internal energy present in a system due to its temperature.

Kinetic Energy

The energy possessed by an object due to its motion, proportional to its mass and the square of its velocity.