1. Getting a good night’s sleep is essential for teenage students to perform optimally during school. According to the National Sleep Foundation, high school students need at least 8 hours of sleep for optimal performance at school the following day. Based on a sleep study of 459 students, a 95% Confidence Interval for the true mean sleeping time (in hours) was calculated to be (7, 7.28) hours. a. Based on the Confidence Interval given, can you say with high degree of confidence that the true mean of sleeping time is below 8 hours? In a sentence or two explain why or why not. b. If we were to increase our sample size, what would we expect to happen to the confidence interval? Get wider/ get narrower/ stay the same? c. If we were to increase our level of confidence, what would we expect to happen to the confidence interval? Get wider/ get narrower/stay the same?