Question

1. The quality of the elementary school teachings is very important, and the effectiveness of teaching can be shown by the students’ performance on the standardized test. The state requires that the average score of the 5^th grade students from each school need to be at least 75. If any school’s average score is below 75, the school will be investigated further to ensure their quality of teaching. For School A, 20 5^th grade students are randomly selected to take the test, and their mean and standard deviation of the test score is 70 and 8.6 respectively. Analysis is needed to see if the average of all 5^th grade students in School A is below 75.
2. What is the population of the study? (Describe it specifically to the problem, don’t use general definition).
3. What is the sample of the study? (Describe it specifically to the problem, don’t use general definition).
4. There are some numbers given from the study: 75, 70 and 8.6. Which numbers are sample statistic? Which numbers are population parameter?

Answer 1

Since the score of the 5th-grade students from each school needs to be at least 75.

Hence for a particular school, the number of 5th-grade students would be the population with parameter 75.

And if few students are selected, they would be a sample.

In the study, For School A, 20 5^th grade students are randomly selected and their mean and standard deviation of the test score is 70 and 8.6 respectively.

=> The number of 5th-grade students of the school A would be the population with parameter 75.

The 20 selected 5th-grade students of the school A would be the sample with statistics 70 and 8.6