A second-semester junior at a large high school wants to estimate the number of colleges a senior applies to on average before deciding where they will attend. The junior randomly selects 19 seniors and asks them how many colleges they applied to and records the number. Use the data below to construct a 99% confidence interval to estimate the true mean number of colleges seniors at this school apply to before deciding about which college to attend. 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 7, 7, 8, 9 4.  Conclude. In repeated sampling, 99% of the time, the sample number of colleges seniors applied to will be 4.26. In repeated sampling, 99% of the time, the true mean number of colleges seniors apply to will be captured in the constructed interval. 99% of seniors will apply to 4.26 colleges. We are 99% confident that the constructed interval captures the true number of colleges seniors applied to.

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