NAME: ___________________________________________
SECTION: __________________
Solving Problems Involving Sampling Distribution of the Sample Mean
Solve the following problem.
1. The average time it takes a group of Talisay High School-Senior High Department students to
complete a certain examination is 18.7 minutes. The standard deviation is 8 minutes. Assume
that the variable is normally distributed.
a. What is the probability that a random student will complete the examination in less than
20 minutes?
b. If 50 randomly selected SHS students take the examination, what is the probability that
the mean time it takes the group to complete the test will be more than 17 minutes?
c. If 55 randomly selected high school students take the examination, what is the probability
that the mean time it takes the group to complete the test will be more than 17 minutes?
d. If 60 randomly selected high school students take the examination, what is the probability
that the mean time it takes the group to complete the test is between 17 and 19 minutes?