1. Tide Pods are concentrated laundry detergent packets, whichhave been sold since 2012. Their colorful appearance and small sizehave led to nearly 7,700 pod-related calls to poison centers forchildren under 5. In 2017, a series of memes featured Tide Pods as“forbidden fruit.” In January 2018 a (mostly) satirical Tide PodChallenge appeared, that “encouraged” teenagers to eat tide pods,video the experience, and post it online.
   1. During the first 30 days of 2018, there were 93 calls to poisoncontrol centers for teenagers who intentionally ate laundry pods.Typically, the number of calls for teenagers ingesting laundry podsin a month has  = 37 and s = 12. What is the z-score fornumber of calls in January 2018? What does this imply?
   2. Public was associating increased sharing/view rate of videostagged “Tide Pod Challenge” with increased calls to poison controlcenters for eating Tide Pods? For each day in the first 30 days of2018, the number of YouTube views and poison center calls weremeasured.  The correlation was r = .41. Is thisa significant correlation at the 95% confidence level? ShouldYouTube take the videos down?
   3. In response to the Tide Pod Challenge, P&G has addedwarnings about ingesting laundry pods. This may have reducedpoisoning incidents involving children. Based on data from thefirst 15 weeks of 2018, weekly calls for children had an average of119 and std. deviation of 20. Data from before 2018 had weeklycalls of at least 148. Has the number of poisoning incidentsdecreased? Write the null and alternative hypothesis.
   4. Calculate the test statistic, and with 95% confidence, stateyour conclusion.