3.3 Activity: Number of Texts SENT in a 2-hour period... We want to investigate how many texts college students send. Record the number of texts sent by students in this class in the last two hours. [If more than 20 people counted their texts, we'll randomly select cases to leave out. Although normally the larger the sample, the better, for "demonstration purposes" and for logistical reasons, we're limiting this sample to 20.] 1. 2: 3. 4 . 5 . 6. 7 . 8. 9 . 10 1 1. 12. 13 . 14. 15. 16 17 . 18. 19. 20. Work in pairs to work quickly and efficiently. 1. Using the sample, what is the mean number of texts sent in the two hour period for your class: 2. Construct a bootstrap sample: a. Devise a method to physically select a bootstrap sample from the given data using a 20- sided die. Explain the process carefully to collect one bootstrap sample: b. Which statistic will you compute from the bootstrap sample? Give name or symbol: 3. Now carry out your process to construct two bootstrap samples and record them here. Also, compute the bootstrap statistic for each: Bootstrap sample 1: Bootstrap sample 2: 4. Compare answers with those around you to get a sense of the variability of the bootstrap statistics. 5. In order to look at the bootstrap distribution for this data, open StatKey and choose the appropriate function under "Bootstrap confidence interval." Edit data. Generate 5000 bootstrap samples. Comment on the shape of this particular bootstrap distribution. If appropriate, find and interpret the 95% confidence interval for the mean number of texts college students send in the two-hour period named above using the 95% rule method. Interval: Interpretation: To what population might it be reasonable to generalize our finding? 36