Twenty students from a statistics class each collected a random sample of times on how long it took students to get to class from their homes. All the sample sizes were 30. The resulting means are listed.
Twenty students from a statistics class each collected a random sample of times on how long it took students to get to class from their homes. All the sample sizes were 30. The resulting means are listed.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image 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?
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