Does the location of your seat in a classroom play a role in attendance or grade? 1600 students in a physics course were randomly assigned to one of four groups. The 400 students in group 1 sat 0 to 4 meters from the front of the class, the 400 students in group 2 sat 4 to 6.5 meters from the front, the 400 students in group 3 sat 6.5 to 9 meters from the front, and the 400 students in group 4 sat 9 to 12 meters from the front. Complete parts (a) through (c). E Click the icon to view the chi-square table of critical values. (a) For the first half of the semester, the attendance for the whole class averaged 83%. So, if there is no effect due to seat location, we would expect 83% of students in each group to attend. The data show the attendance history for each group. How many students in each group attended, on average? Is there a significant difference among the groups in attendance patterns? Group Attendance 1 3 4 0.84 0.84 0.84 0.80 The number of students who attended in the first group was The number of students who attended in the second group was The number of students who attended in the third group was The number of students who attended in the fourth group was

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Author:Amos Gilat
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Does the location of your seat in a classroom play a role in attendance or grade? 1600 students in a physics course were randomly assigned to one of four groups. The 400 students in group 1 sat 0 to 4
meters from the front of the class, the 400 students in group 2 sat 4 to 6.5 meters from the front, the 400 students in group 3 sat 6.5 to 9 meters from the front, and the 400 students in group 4 sat 9 to 12
meters from the front. Complete parts (a) through (c).
Click the icon to view the chi-square table of critical values.
(a) For the first half of the semester, the attendance for the whole class averaged 83%. So, if there is no effect due to seat location, we would expect 83% of students in each group to attend. The data show
the attendance history for each group. How many students in each group attended, on average? Is there a significant difference among the groups in attendance patterns?
Group
Attendance
1
2
4
0.84
0.84
0.84
0.80
The number of students who attended in the first group was
The number of students who attended in the second group was
The number of students who attended in the third group was
The number of students who attended in the fourth group was
Transcribed Image Text:Does the location of your seat in a classroom play a role in attendance or grade? 1600 students in a physics course were randomly assigned to one of four groups. The 400 students in group 1 sat 0 to 4 meters from the front of the class, the 400 students in group 2 sat 4 to 6.5 meters from the front, the 400 students in group 3 sat 6.5 to 9 meters from the front, and the 400 students in group 4 sat 9 to 12 meters from the front. Complete parts (a) through (c). Click the icon to view the chi-square table of critical values. (a) For the first half of the semester, the attendance for the whole class averaged 83%. So, if there is no effect due to seat location, we would expect 83% of students in each group to attend. The data show the attendance history for each group. How many students in each group attended, on average? Is there a significant difference among the groups in attendance patterns? Group Attendance 1 2 4 0.84 0.84 0.84 0.80 The number of students who attended in the first group was The number of students who attended in the second group was The number of students who attended in the third group was The number of students who attended in the fourth group was
Chi-Square Table of Critical Values
Chi-Square (x³) Distribution
Area to the Right of Critical Value
Degrees of
Freedom
0.995
0.99
0.975
0.95
0.90
0.10
0.05
0.025
0.01
0.005
0.001
0.051
0.216
0.484
7.879
10.597
12.838
14.860
16.750
0.004
0.010
0.072
0.207
0.020
0.115
0.297
0.554
0.103
0.352
0.711
1.145
0.016
0.211
0.584
1.064
1.610
2.706
4.605
6.251
7.779
9.236
3.841
5.991
7.815
5.024
7.378
9.348
11.143
12.833
6.635
9.210
11.345
13.277
15.086
9.488
0.412
0.831
11.070
1.237
1.690
2.180
2.700
3.247
12.592
14.067
15.507
16.919
18.307
16.812
18.475
20.090
21.666
23.209
18.548
20.278
21.955
23.589
25.188
0.872
1.239
1.635
2.167
2.733
3.325
3.940
2.204
2.833
0.676
0.989
1.344
1.735
2.156
1.646
2.088
2.558
3.490
4.168
4.865
10.645
12.017
13.362
14.684
15.987
14.449
16.013
17.535
19.023
20.483
8
21.920
23.337
24.736
26.119
27.488
24.725
26.217
27.688
29.141
30.578
26.757
28.300
29.819
31.319
32.801
2.603
3.053
3.816
4.575
5.578
6.304
7.042
7.790
8.547
11
17.275
19.675
3.074
3.565
4.075
4.601
3.571
4.107
4.660
5.229
4.404
5.009
5.629
6.262
5.226
5.892
6.571
7.261
18.549
19.812
21.064
22.307
21.026
22.362
23.685
24.996
12
13
14
15
5.142
5.697
6.265
23.542
24.769
25.989
27.204
28.412
32.000
33.409
34.805
36.191
37.566
34.267
35.718
37.156
38.582
39.997
5.812
7.962
8.672
9.390
10.117
9.312
10.085
10.865
11.651
12.443
26.296
27.587
28.869
30.144
31.410
28.845
30.191
31.526
32.852
34.170
16
6.908
7.564
8.231
8.907
17
6.408
7.015
7.633
8.260
18
19
6.844
7.434
20
9.591
10.851
8.897
9.542
10.196
10.856
11.524
10.283
10.982
11.689
12.401
13.120
29.615
30.813
32.007
33.196
34.382
8.034
21
22
23
24
8.643
9.260
9.886
10.520
11.591
12.338
13.091
13.848
14.611
13.240
14.041
14.848
15.659
16.473
32.671
33.924
35.172
36.415
37.652
35.479
36.781
38.076
39.364
40.646
38.932
40.289
41.638
42.980
44.314
41.401
42.796
44.181
45.559
46.928
26
27
28
29
30
35.563
36.741
37.916
39.087
40.256
15.379
16.151
17.292
11.160
11.808
12.461
13.121
13.787
12.198
12.879
13.565
14.256
14.953
13.844
14.573
15.308
16.047
16.791
16.928
17.708
18.493
18.114
18.939
19.768
20.599
38.885
40.113
41.337
41.923
43.195
44.461
45.722
46.979
45.642
46.963
48.278
49.588
50.892
48.290
49.645
50.993
52.336
53.672
42.557
43.773
40
20.707
22.164
24.433
26.509
29.051
51.805
55.758
59.342
63.691
66.766
123 5
Transcribed Image Text:Chi-Square Table of Critical Values Chi-Square (x³) Distribution Area to the Right of Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 0.001 0.051 0.216 0.484 7.879 10.597 12.838 14.860 16.750 0.004 0.010 0.072 0.207 0.020 0.115 0.297 0.554 0.103 0.352 0.711 1.145 0.016 0.211 0.584 1.064 1.610 2.706 4.605 6.251 7.779 9.236 3.841 5.991 7.815 5.024 7.378 9.348 11.143 12.833 6.635 9.210 11.345 13.277 15.086 9.488 0.412 0.831 11.070 1.237 1.690 2.180 2.700 3.247 12.592 14.067 15.507 16.919 18.307 16.812 18.475 20.090 21.666 23.209 18.548 20.278 21.955 23.589 25.188 0.872 1.239 1.635 2.167 2.733 3.325 3.940 2.204 2.833 0.676 0.989 1.344 1.735 2.156 1.646 2.088 2.558 3.490 4.168 4.865 10.645 12.017 13.362 14.684 15.987 14.449 16.013 17.535 19.023 20.483 8 21.920 23.337 24.736 26.119 27.488 24.725 26.217 27.688 29.141 30.578 26.757 28.300 29.819 31.319 32.801 2.603 3.053 3.816 4.575 5.578 6.304 7.042 7.790 8.547 11 17.275 19.675 3.074 3.565 4.075 4.601 3.571 4.107 4.660 5.229 4.404 5.009 5.629 6.262 5.226 5.892 6.571 7.261 18.549 19.812 21.064 22.307 21.026 22.362 23.685 24.996 12 13 14 15 5.142 5.697 6.265 23.542 24.769 25.989 27.204 28.412 32.000 33.409 34.805 36.191 37.566 34.267 35.718 37.156 38.582 39.997 5.812 7.962 8.672 9.390 10.117 9.312 10.085 10.865 11.651 12.443 26.296 27.587 28.869 30.144 31.410 28.845 30.191 31.526 32.852 34.170 16 6.908 7.564 8.231 8.907 17 6.408 7.015 7.633 8.260 18 19 6.844 7.434 20 9.591 10.851 8.897 9.542 10.196 10.856 11.524 10.283 10.982 11.689 12.401 13.120 29.615 30.813 32.007 33.196 34.382 8.034 21 22 23 24 8.643 9.260 9.886 10.520 11.591 12.338 13.091 13.848 14.611 13.240 14.041 14.848 15.659 16.473 32.671 33.924 35.172 36.415 37.652 35.479 36.781 38.076 39.364 40.646 38.932 40.289 41.638 42.980 44.314 41.401 42.796 44.181 45.559 46.928 26 27 28 29 30 35.563 36.741 37.916 39.087 40.256 15.379 16.151 17.292 11.160 11.808 12.461 13.121 13.787 12.198 12.879 13.565 14.256 14.953 13.844 14.573 15.308 16.047 16.791 16.928 17.708 18.493 18.114 18.939 19.768 20.599 38.885 40.113 41.337 41.923 43.195 44.461 45.722 46.979 45.642 46.963 48.278 49.588 50.892 48.290 49.645 50.993 52.336 53.672 42.557 43.773 40 20.707 22.164 24.433 26.509 29.051 51.805 55.758 59.342 63.691 66.766 123 5
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