Exclusive relationships

Exclusive relationships#

A survey conducted on a reasonably random sample of \({{params.n}}\) undergraduates asked, among many other questions, about the number of exclusive relationships these students have been in. The histogram below shows the distribution of the data from this sample.The sample average is \({{params.sample_mean}}\) with a standard deviation of \({{params.sample_std}}\).

Part 1#

Estimate the confidence interval of exclusive relationships Duke students have been in using a \({{params.confidence_level}}\)% confidence level.

Lower Interval:

Answer Section#

Please enter a numeric value in.

Part 2#

Upper Interval:

Answer Section#

Please enter a numeric value in.

Part 3#

Based on your observations from the graph, conditions required for inference, and any assumptions you made to proceed with your calculations, which of the following statements are correct?

Answer Section#

  • Independence: it is a random sample, so we can assume that the students in this sample are independent of each other with respect to number of exclusive relationships they have been in.

  • There are no students who have had no exclusive relationships in the sample, which suggests some student responses are likely missing

  • The sample size is at least 30, and there are no particularly extreme outliers, so the normality condition is reasonable.

  • We are \(91\)% confident that undergraduate students have been in (lower_interval) to (upper_interval) exclusive relationships, on average.

  • The sample size is at least 30, but there are extreme outliers, so the normality condition is unreasonable.

  • We are \(100\)% certain that undergraduate students have been in (lower_interval) to (upper_interval) exclusive relationships, on average.

Attribution#

Problem is from the OpenIntro Statistics textbook, licensed under the CC-BY 4.0 license.
Image representing the Creative Commons 4.0 BY license.