High School

Assume that you are interested in determining if the average weight of students in your class exceeds 140 pounds. Which of the following sets of conditions would expose you to sampling risk?

A) Sample estimate = 130 pounds; true average = 139 pounds
B) Sample estimate = 145 pounds; true average = 142 pounds
C) Sample estimate = 135 pounds; true average = 145 pounds
D) B and C

Answer :

Final answer:

if the average weight of students in your class exceeds 140 pounds, the sets of conditions satisfied by:

option D) b and c" i.e. expose you to sampling risk as they may lead to inaccurate estimates.

Explanation:

Sampling risk refers to the possibility of obtaining a sample that does not accurately represent the population being studied. In the given options, both b) and c) expose you to sampling risk.

b) Sample estimate = 145 pounds; true average = 142 pounds.

In this case, the sample estimate is higher than the true average, indicating a potential overestimate of the average weight of students in the class.

c) Sample estimate = 135 pounds; true average = 145 pounds.

In this case, the sample estimate is lower than the true average, indicating a potential underestimate of the average weight of students in the class.

Therefore, both option b) and c) expose you to sampling risk as they may lead to inaccurate estimates of the average weight of students in the class.

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