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 the run time of each. The average time was 119 minutes with a standard deviation of 21.5 minutes. Construct a 95% confidence interval that estimates the true mean length of action films over the past decade. 4.  Conclude. In repeated sampling, 95% of the time, the true mean length of action films during the past decade will be 119 minutes. 95% of all action films during the past decade have lengths that lie between the values in our interval. We are 95% confident that the constructed interval captures the true mean length of action films during the past decade.

MATLAB: An Introduction with Applications
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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 the run time of each. The average time was 119 minutes with a standard deviation of 21.5 minutes.

  • Construct a 95% confidence interval that estimates the true mean length of action films over the past decade.

4.  Conclude.

In repeated sampling, 95% of the time, the true mean length of action films during the past decade will be 119 minutes.
95% of all action films during the past decade have lengths that lie between the values in our interval.
We are 95% confident that the constructed interval captures the true mean length of action films during the past decade.
In repeated sampling, 95% of the time, the true mean length of action films during the past decade will be captured in the constructed interval.
4. Conclude.
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 the
run time of each. The average time was 119 minutes with
a standard deviation of 21.5 minutes.
In repeated sampling, 95% of the time, the true
mean length of action films during the past decade
will be 119 minutes.
95% of all action films during the past decade have
lengths that lie between the values in our interval.
Construct a 95% confidence interval that estimates
We are 95% confident that the constructed interval
captures the true mean length of action films during
the past decade.
the true mean length of action films over the past
decade.
In repeated sampling, 95% of the time, the true
mean length of action films during the past decade
will be captured in the constructed interval.
Transcribed Image Text:4. Conclude. 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 the run time of each. The average time was 119 minutes with a standard deviation of 21.5 minutes. In repeated sampling, 95% of the time, the true mean length of action films during the past decade will be 119 minutes. 95% of all action films during the past decade have lengths that lie between the values in our interval. Construct a 95% confidence interval that estimates We are 95% confident that the constructed interval captures the true mean length of action films during the past decade. the true mean length of action films over the past decade. In repeated sampling, 95% of the time, the true mean length of action films during the past decade will be captured in the constructed interval.
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