Final answer:
The correct criterion for representing a length of time of 11 minutes or longer is c) More than 11 min. This denotes a duration exceeding 11 minutes, in contrast to the other options which specify a duration equal to, less than, or not specific to 11 minutes.
Step-by-step explanation:
The question posed is asking which of the provided criteria represents a time duration of 11 minutes or longer. The correct response from the options given is c) More than 11 min, as it specifies that the length of time should be longer than 11 minutes. This is different from the other options because a) Equal to 11 min specifies exactly 11 minutes, b) Less than 11 min specifies a duration shorter than 11 minutes, and d) Not a specific time does not define any time range at all.
For example, if the amount of time a person waits for a bus is uniformly distributed between zero and 15 minutes, inclusive, and we want to know the probability that a person waits fewer than 12.5 minutes, we would calculate this probability based on the uniform distribution from 0 to 15 minutes. Similarly, in hypothesis testing, we might be comparing whether the mean number of hours is more than a specific value, and we would use the given significance level to make our conclusion.