Question: Situation 1: Fred constructed a 95% confidence interval to estimate the average length (in minutes) of the movies he watches, with a random sample of

Situation 1: Fred constructed a 95% confidence interval to estimate the average length (in minutes) of the movies he watches, with a random sample of 15 movies. He plans to continue collecting data until he has a random sample of 40 movies, and then find a new confidence interval.

Situation 2: Fred constructed a 95% confidence interval to estimate the average length (in minutes) of the movies he watches, with a random sample of 15 movies. He plans to continue collecting data until he has a random sample of 40 movies, and then find a new confidence interval. Which of these statements is most accurate?

Which of these statements is most accurate?

Both the standard error and the critical value will probably decrease for the larger sample.

Since 40 is a large sample, he will be able to use the Normal distribution.

The critical value will increase for the larger sample, but the standard error will probably decrease.

He should not perform inference at all, because he will probably continue watching movies for many years to come.

With this larger sample he can be more sure that his 95% confidence interval captures the true mean length of all movies he watches.

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