2. A political scientist developed a test designed to measure the degree of awareness of current events. She wants to estimate the average score that would be achieved on this test by all students in a certain high school. The administration at the school will not allow the experimenter to randomly select students out of classes in session, but it will allow her to interrupt a small number of classes for the purpose of giving the test to every member of the class. Thus, the experimenter selects 25 classes at random from the 108 classes in session at a particular hour. The test is given to each member of the sampled classes, with results as shown in the accompanying table. Number of students, mi Total score, yi Class 1 31 1590 2 29 1510 3 25 1490 4 35 1610 5 15 800 6 31 1720 22 1310 27 1427 9 25 1290 10 19 860 11 30 1620 12 18 710 13 21 1140 14 40 1980 15 38 1990 16 28 1420 17 17 900 18 22 1080 19 41 2010 20 32 1740 21 35 1750 22 19 890 23 29 1470 24 18 910 25 31 1740 a. Estimate the average score that would be achieved on this test by all students in the school. Place a bound on the error of estimation. b. The political scientist wants to estimate the average test score for a similar high school. She wants the bound on the error of estimation to be less than 2 points. How many classes should she sample? Assume the school has 100 classes in session during each hour.
2. A political scientist developed a test designed to measure the degree of awareness of current events. She wants to estimate the average score that would be achieved on this test by all students in a certain high school. The administration at the school will not allow the experimenter to randomly select students out of classes in session, but it will allow her to interrupt a small number of classes for the purpose of giving the test to every member of the class. Thus, the experimenter selects 25 classes at random from the 108 classes in session at a particular hour. The test is given to each member of the sampled classes, with results as shown in the accompanying table. Number of students, mi Total score, yi Class 1 31 1590 2 29 1510 3 25 1490 4 35 1610 5 15 800 6 31 1720 22 1310 27 1427 9 25 1290 10 19 860 11 30 1620 12 18 710 13 21 1140 14 40 1980 15 38 1990 16 28 1420 17 17 900 18 22 1080 19 41 2010 20 32 1740 21 35 1750 22 19 890 23 29 1470 24 18 910 25 31 1740 a. Estimate the average score that would be achieved on this test by all students in the school. Place a bound on the error of estimation. b. The political scientist wants to estimate the average test score for a similar high school. She wants the bound on the error of estimation to be less than 2 points. How many classes should she sample? Assume the school has 100 classes in session during each hour.
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:2. A political scientist developed a test designed to measure the degree of awareness of
current events. She wants to estimate the average score that would be achieved on this
test by all students in a certain high school. The administration at the school will not
allow the experimenter to randomly select students out of classes in session, but it
will allow her to interrupt a small number of classes for the purpose of giving the test
to every member of the class. Thus, the experimenter selects 25 classes at random
from the 108 classes in session at a particular hour. The test is given to each member
of the sampled classes, with results as shown in the accompanying table.
Number of
students, mi
Total
score, yi
Class
1
31
1590
2
29
1510
3
25
1490
4
35
1610
5
15
800
6
31
1720
Transcribed Image Text:22
1310
27
1427
9
25
1290
10
19
860
11
30
1620
12
18
710
13
21
1140
14
40
1980
15
38
1990
16
28
1420
17
17
900
18
22
1080
19
41
2010
20
32
1740
21
35
1750
22
19
890
23
29
1470
24
18
910
25
31
1740
a. Estimate the average score that would be achieved on this test by all students
in the school. Place a bound on the error of estimation.
b. The political scientist wants to estimate the average test score for a similar
high school. She wants the bound on the error of estimation to be less than 2
points. How many classes should she sample? Assume the school has 100
classes in session during each hour.
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