In a sampling application to determine the average weight of students enrolled in a fitness class,if the sample estimate is 120 pounds,the precision is 10 pounds,and the reliability is 90 percent,which of the following statements is true?
A) There is 10 percent likelihood that the average weight of a student in the class is more than 130 pounds.
B) There is 10 percent likelihood that the average weight of a student in the class is less than 110 pounds.
C) There is 90 percent likelihood that the average weight of a student in the class is less than 110 pounds or more than 130 pounds.
D) There is a 90 percent likelihood that the average weight of a student in the class is between 110 and 130 pounds.

Question

Quizplus · Accepted Answer

The precision of 10 pounds means that the actual weight of a given student in the class could be anywhere from 110 to 130 pounds.
The reliability of 90 percent means that there is a 90 percent probability that the true average weight of the entire class falls within the range of the sample average (±10 pounds), which is 110 to 130 pounds. Therefore, the answer is D, because there is a 90 percent likelihood that the average weight of a student in the class is between 110 and 130 pounds.

In a Sampling Application to Determine the Average Weight of Students