Question

A commonly cited standard for one-way length (duration) of school bus rides for elementary school children is 30 minutes. a local government office in a rural area conducts a study to determine if elementary schoolers in their district have a longer average one-way commute time. if they determine that the average commute time of their students in their district is significantly higher than the commonly cited standard

Answer 1

Answer: C. The local government decides that the data do not provide convincing evidence of an average commute time higher than 30 minutes, when the true average commute time is in fact higher than 30 minutes.

Step-by-step explanation:

NULL HYPOTHESIS

This is the hypothesis that posits that there is no significant difference between two variables in a research unless due to sampling error.

The NULL HYPOTHESIS here would be that elementary students in the district do not have a higher average time than 30 minutes.

TYPE II ERROR

This error in statistics refers to a situation where a FALSE null hypothesis is NOT REJECTED.

In this scenario, a false non hypothesis would be a situation where the average commute time for the elementary school in the district is higher than the average 30 minutes.

Option C speaks of a situation where the local government decides that the data does not give evidence of a higher average time than 30 minutes when actually the average time is higher than 30 mins. That means that they have failed to reject a false null hypothesis which is a TYPE II ERROR.