Instruction 12-3
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.
$$\begin{array} { c c c }
\text { Student } & \text { CoopJobs } & \text { JobOffer } \
1 & 1 & 4 \
2 & 2 & 6 \
3 & 1 & 3 \
4 & 0 & 1
\end{array}$$
-Referring to Instruction 12-3,suppose the director of cooperative education wants to obtain both a 95% confidence interval estimate and a 95% prediction interval for X = 2.The confidence interval estimate would be the wider of the two intervals.

Question

Instruction 12-3
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.
 $$\begin{array} { c c c } 
\text { Student } & \text { CoopJobs } & \text { JobOffer } \
1 & 1 & 4 \
2 & 2 & 6 \
3 & 1 & 3 \
4 & 0 & 1
\end{array}$$
-Referring to Instruction 12-3,suppose the director of cooperative education wants to obtain both a 95% confidence interval estimate and a 95% prediction interval for X = 2.The confidence interval estimate would be the wider of the two intervals.

Quizplus · Accepted Answer

The prediction interval is wider than the confidence interval because it accounts for both the variability of the sample mean and the individual prediction error.