A Hollywood film producer is working on a new action film. She wants to estimate the true mean length of action films that have appeared in theatres during the past decade. She randomly selects 30 films and records their run time. The 95% confidence interval for the true mean length of action films during the past decade is between about 111 minutes and 127 minutes. Is it plausible that the mean length of films during the past decade is less than 130 minutes? Yes, because 130 minutes does not lie in the interval, it is reasonable to believe that the mean length of films during the past decade is less than 130 minutes. Yes, because the entire interval of movie lengths is below her length of 130 minutes, it is reasonable to believe the mean length of films during the past decade is less than 130 minutes. No, since 130 minutes is close to the interval, it is reasonable to believe the mean length of films during the past decade is not less than 130 minutes. No, because 130 is above the interval, it is not reasonable to believe the mean length of films during the past decade is less than 130 minutes.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A Hollywood film producer is working on a new action film. She wants to estimate the true mean length of action films that have appeared in theatres during the past decade. She randomly selects 30 films and records their run time. The 95% confidence interval for the true mean length of action films during the past decade is between about 111 minutes and 127 minutes.

Is it plausible that the mean length of films during the past decade is less than 130 minutes?

Yes, because 130 minutes does not lie in the interval, it is reasonable to believe that the mean length of films during the past decade is less than 130 minutes.
Yes, because the entire interval of movie lengths is below her length of 130 minutes, it is reasonable to believe the mean length of films during the past decade is less than 130 minutes.
No, since 130 minutes is close to the interval, it is reasonable to believe the mean length of films during the past decade is not less than 130 minutes.
No, because 130 is above the interval, it is not reasonable to believe the mean length of films during the past decade is less than 130 minutes.
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