Question
Student researchers wanted to know whether students at their school could accurately estimate the length of a 17-second song snippet on average. They played 17
Student researchers wanted to know whether students at their school could accurately estimate the length of a 17-second song snippet on average. They played 17 seconds of Corinne Bailey Rae's song "Put Your Records On" to 25 students, as the data result.
(a) Describe the parameter estimated by the students.
(a) 25 students at the researchers' school.
(b) All students at the researchers' school.
(c) Length of time students guess has passed when played a 17-second song.
or (d) The average length of time students guess has passed when played a 17-second song.
(b) Verify the validity conditions for a theory-based confidence interval.
(a) Validity conditions are met because the sample appears to come from a skewed distribution and the sample size 24 is not large enough.
(b) Validity conditions arenotmet because the sample appears to come from a skewed distribution and the sample size 24 is not large enough.
(c) Validity conditions are met because the sample appears to come from a symmetric distribution and the sample size 24 is reasonably large.
or (d) Validity conditions arenotmet because the sample appears to come from a symmetric distribution and the sample size 24 is reasonably large.
(c) Use theTheory-Based Inferenceapplet to construct a 95% confidence interval and interpret it in the context of the problem.
(a) We are 95% confident that the length of time students guess has passed when played a 17-second song snippet is in between 11.56 and 16.04 seconds.
(b) We are 95% confident that the average length of time students guess has passed when played a 17-second song snippet is in between 11.56 and 16.04 seconds.
(c) There is a 0.95 probability that the length of time students guess has passed when played a 17-second song snippet is in between 11.56 and 16.04 seconds.
or (d) There is a 0.95 probability that the average length of time students guess has passed when played a 17-second song snippet is in between 11.56 and 16.04 seconds.
(d) Based on your confidence interval do you have strong evidence that, on average, students cannot accurately estimate the length of a 17-second song snippet?
(a) Yes, we have strong evidence that, on average, students cannot accurately estimate the length of the 17-second song snippet because the 95% confidence interval does not contain 17, but rather numbers less than 17. It appears that students tend to underestimate how much time has passed, on average.
(b) Yes, we have strong evidence that, on average, students cannot accurately estimate the length of the 17-second song snippet because the 95% confidence interval does not contain 17, but rather numbers less than 17. It doesnotappear that students tend to underestimate how much time has passed, on average.
(c) No, we donothave strong evidence that, on average, students cannot accurately estimate the length of the 17-second song snippet because the 95% confidence interval does not contain 17, but rather numbers less than 17. It appears that students do tend to underestimate how much time has passed, on average.
or (d) No, we donothave strong evidence that, on average, students cannot accurately estimate the length of the 17-second song snippet because the 95% confidence interval does not contain 17, but rather numbers less than 17. It doesnot appear that students do tend to underestimate how much time has passed, on average.
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