Have the conditions for inference been met? A varsity swimmer at a large high school wants to
estimate the amount of time (in hours), on average,
athletes at this school train or practice each day. This
swimmer selects 10 members of her swim team and
asks them how many hours they typically train or
practice. Use the data to construct a 90% confidence
interval to estimate the true mean number of hours
athletes at this school train or practice each day.
No, the sample is not random.
No, the graph of the data shows skewness and has
outliers.
No, the 10% condition cannot be verified, because it
is not known how many seniors are in the
population.
Yes, the student selected a random sample; 10 is
less than 10% of the population of athletes, and the
graph of the data shows no clear skewness or
outliers.
0.5, 1, 1, 2, 2, 2, 2.5, 2.5, 3, 3