Question

1. Suppose Bob wants to estimate the current GPA of all freshmen students at OSU. He takes a random sample of 100 freshmen at OSU and finds their current mean GPA is 3.15.
   1. Describe the population in words.
   2. Describe the parameter in words.
   3. What is the sample?
   4. What is the statistic?

Answer 1

Solution:

Given: Suppose Bob wants to estimate the current GPA of all freshmen students at OSU. He takes a random sample of 100 freshmen at OSU and finds their current mean GPA is 3.15.

Part a) Describe the population in words.

Population is the total units of the variable under study.

Thus population is: All freshmen students at OSU.

Part b) Describe the parameter in words.

Parameter is the characteristic of population like Population mean , population variance etc.

Thus parameter is: The current mean GPA of all freshmen students at OSU

Part c) What is the sample?

Sample is the subset of population.

Thus sample is:  A random sample of 100 freshmen at OSU

Part d) What is the statistic?

Statistic is the characteristic of sample collected, like sample mean , sample variance etc.

Thus statistic is:  current mean GPA of random sample of 100 freshmen at OSU and it is 3.15