Central Limit Theorem Twenty students from a statistics class each collected a random sample of times on how long it tookstudents to get to class from their homes. All the sample sizes were 30. The...

Extracted text: Central Limit Theorem Twenty students from a statistics class each collected a random sample of times on how long it tookstudents to get to class from their homes. All the sample sizes were 30. The resulting means are listed. Student Мean Std. Dev. Student Мean Std. Dev. 1 22 3.7 11 27 1.4 2 31 4.6 12 24 2.2 3 18 2.4 13 14 3.1 4 27 1.9 14 29 2.4 5 20 3.0 15 37 2.8 17 2.8 16 23 2.7 7 26 1.9 17 26 1.8 8 34 4.2 18 21 2.0 9 23 2.6 19 30 2.2 10 29 2.1 20 29 2.8 a. The students noticed that everyone had different answers. Ifyou randomly sample over and over from any population, with the same samplesize, will the results ever be the same? b. The studentswondered whose resultswere right. How can they find out what the population mean and standard deviation are? c. Checkthe mean and standard deviation of the means. How do thesevalues compare to the students' individual scores?