Construct Confidence and Prediction Intervals
-A Gym Teacher Uses Three $95 \%$

Multiple Choice

Construct Confidence and Prediction Intervals
-A gym teacher uses three exercises to increase arm strength: push-ups, pull-ups, and rope climbing. He has 10 students in small class. The exercises consist of doing as many push-ups as possible in 2 minutes. After a rest the student does as many push-ups as possible in 2 minutes. After a rest the student climbs a rope and the time is recorded in seconds. The data for this class is given below. Construct a $95 \%$ confidence interval for the Rope Climb Time if the student's Push-ups are $22 .$

A) $( 48.78,57.77 )$
B) $( 41.70,64.85 )$
C) $( 47.09,58.45 )$
D) $( 38.89,66.65 )$