Safety regulations state that roller coasters cannot operate safely in low temperatures. Throughout the day, ride operators measure the temperature at several random locations along the track to verify that the temperature is above an established threshold value, allowing the ride to operate safely. The collected data is used to conduct a one-sample z - test of the null hypothesis that the mean temperature is warm against the alternative that the mean temperature is too low. If the null hypothesis is rejected in favor of the alternative, the ride is shut down due to unsafe conditions. Choose the correct description of a type I error and a type II error in this context.

Question

Social Studies

Murillo

2 January, 00:15

Safety regulations state that roller coasters cannot operate safely in low temperatures. Throughout the day, ride operators measure the temperature at several random locations along the track to verify that the temperature is above an established threshold value, allowing the ride to operate safely. The collected data is used to conduct a one-sample z - test of the null hypothesis that the mean temperature is warm against the alternative that the mean temperature is too low. If the null hypothesis is rejected in favor of the alternative, the ride is shut down due to unsafe conditions. Choose the correct description of a type I error and a type II error in this context.

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Connor Conway · Answer 1

type I error: mean temperature is too low and ride is shutdown.

type II error: mean temperature is warm and ride is not shutdown. This can lead to safety incidents

Explanation:

type I error: Falsely rejecting null hypothesis when it is actually true

type II error: Falsely accepting null hypothesis when it is actually false