Construct the Indicated Confidence Interval for the Difference Between the Two

question 50

Multiple Choice

Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.
-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. $$\begin{array} { r | l } \text { Women } & \text { Men } \\\hline \overline { \mathrm { x } } _ { 1 } = 12.8 \text { hrs } & \overline { \mathrm { x } } _ { 2 } = 14.0 \text { hrs } \\\mathrm { s } _ { 1 } = 3.9 \text { hrs } & \mathrm { s } _ { 2 } = 5.2 \text { hrs } \\\mathrm { n } _ { 1 } = 14 & \mathrm { n } _ { 2 } = 17\end{array}$$
Construct a 99% confidence interval for µ1 - µ2, the difference between the mean amount of time spent watching television for women and the mean amount of time spent watching television for men)

• A) \(- 5.72 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < 3.32 \mathrm { hrs }\)
• B) \(- 5.71 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < 3.31 \mathrm { hrs }\)
• C) \(- 5.84 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < 3.44 \mathrm { hrs }\)
• D) \(- 5.85 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < 3.45 \mathrm { hrs }\)

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Definitions:

Team Cohesiveness

The extent to which team members are attracted to the group, motivated to stay in it, and perceive themselves as part of the group, enhancing its ability to work effectively.

Positive Relationships

Interpersonal connections that are characterized by mutual respect, trust, and beneficial interactions.

Core Values

Broad beliefs about what is or is not appropriate behaviour.

Adjourning Stage

The adjourning stage refers to the final phase in Tuckman's team development model, where the team completes the task and dissolves, often marked by feelings of accomplishment and sadness.