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 randomly samples 100 elementary school children in their district and find an average one-way commute time of 38 minutes with a standard deviation of 8 minutes.

Which of the following is the correct set of hypotheses for testing if the average commute time of elementary school students in this district is different than the commonly cited standard of 30 minutes?

- H
_{0}: x = 38; H_{A}: μ = 30 - H
_{0}: μ = 30; H_{A}: μ ≠ 30 - H
_{0}: μ = 30; H_{A}: x = 38 - H
_{A}: μ = 30; H_{0}: x ≠ 30 - H
_{0}: μ = 30; H_{A}: μ > 30

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