Instruction 12.38
The director of cooperative education at a university wants to examine the effect of cooperative education job experience on marketability in the workplace. She takes a random sample of four students. For these four, she finds out how many times each had a cooperative education job and how many job offers they received upon graduation. These data are presented in the table below.
$$\begin{array} { | l | l | l | }
\hline \text { Student } & \text { Coop Jobs } & \text {Job Oifer } \
\hline 1 & 1 & 4 \
\hline 2 & 2 & 6 \
\hline 3 & 1 & 3 \
\hline 4 & 0 & 1 \
\hline
\end{array}$$
-Referring to Instruction 12.38,suppose the director of cooperative education wants to obtain two 95% confidence interval estimates.One is for the mean number of job offers received by people who have had exactly one cooperative education job and one for people who have had two.The confidence interval for people who have had one cooperative education job would be the wider of the two intervals.

Question

Instruction 12.38
The director of cooperative education at a university wants to examine the effect of cooperative education job experience on marketability in the workplace. She takes a random sample of four students. For these four, she finds out how many times each had a cooperative education job and how many job offers they received upon graduation. These data are presented in the table below.
 $$\begin{array} { | l | l | l | } 
\hline \text { Student } & \text { Coop Jobs } & \text {Job Oifer } \
\hline 1 & 1 & 4 \
\hline 2 & 2 & 6 \
\hline 3 & 1 & 3 \
\hline 4 & 0 & 1 \
\hline
\end{array}$$
-Referring to Instruction 12.38,suppose the director of cooperative education wants to obtain two 95% confidence interval estimates.One is for the mean number of job offers received by people who have had exactly one cooperative education job and one for people who have had two.The confidence interval for people who have had one cooperative education job would be the wider of the two intervals.

Quizplus · Accepted Answer

With only two students who have had exactly one cooperative education job and one student who has had two, the sample size for the group with one job is larger. Generally, larger sample sizes lead to narrower confidence intervals, assuming variability is similar. However, since the confidence interval calculation also depends on the sample variance, without specific variance or standard deviation information, we cannot definitively conclude which interval would be wider based solely on sample size. But, given equal variability, the statement would typically be false because larger samples tend to produce narrower confidence intervals.

Instruction 12 -Referring to Instruction 12