Twelve different video games showing substance use were observed and the duration of times of game play (in seconds) are listed below. The design of the study justifies the assumption that the sample can be treated as a simple random sample. Use the sample data to construct a 98% confidence interval estimate of o, the standard deviation of the duration times of game play. Assume that this sample was obtained from a population with a normal distribution. 4,558 4,754 4,106 3,990 4,310 4,918 4,324 3,899 4,302 4,274 Click the icon to view the table of Chi-Square critical values. The confidence interval estimate is sec

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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Twelve different video games showing substance use were observed and the duration of times of game play (in seconds) are listed below. The design of the study justifies the
assumption that the sample can be treated as a simple random sample. Use the sample data to construct a 98% confidence interval estimate of o, the standard deviation of the
duration times of game play. Assume that this sample was obtained from a population with a normal distribution.
4,558
4,754
4,106
3,990
4.310
4,918
4,324
3,899
4,302
4,274
Click the icon to view the table of Chi-Square critical values.
The confidence interval estimate is sec<o< sec.
(Round to one decimal place as needed.)
4,343
4,763
C
Transcribed Image Text:Twelve different video games showing substance use were observed and the duration of times of game play (in seconds) are listed below. The design of the study justifies the assumption that the sample can be treated as a simple random sample. Use the sample data to construct a 98% confidence interval estimate of o, the standard deviation of the duration times of game play. Assume that this sample was obtained from a population with a normal distribution. 4,558 4,754 4,106 3,990 4.310 4,918 4,324 3,899 4,302 4,274 Click the icon to view the table of Chi-Square critical values. The confidence interval estimate is sec<o< sec. (Round to one decimal place as needed.) 4,343 4,763 C
Degrees of
Freedom
1
2
3
4
S
7
8
10
11
12
13
14
15
16
17
18
19
20
21
22
24
25
26
27
28
30
70
06
100
Degroes of
Freedom
Chi-Square (x²) Distribution
0.995
0.010
0.072
0.207
0.412
0.676
0.999
1.344
1.735
2.156
2003
1074
3.585
4075
4.601
5.142
5.037
6.295
6.844
7.434
8.004
4.643
9.200
9.806
10:520
11.150
11.800
12.461
13.121
13.787
20.707
27.991
35.534
43.275
51.172
59.196
67.328
0.995
0.000
0.297
0.554
0.872
1.239
1646
2008
2.558
3.053
1571
4.107
4.660
5.229
5812
6.408
7.015
7.633
8.260
8.887
9.542
10.196
10854
11.524
12.199
12.879
13.565
14.04
22.154
29.707
37.485
45.442
53.540
61.754
70065
0.575
0.001
0.051
0216
0.454
0.831
1.217
1.600
2:180
2.700
3.247
1816
4.404
5.000
5.629
6.262
6.900
7.584
8.231
8.967
9.591
10.283
10.002
11.689
12:401
13.120
13.544
14.573
15.300
16.047
16.791
24.433
32.367
Ar to the Right of the Critical
0.95
0.004
0.100
0.711
1.145
1.636
2:167
2.733
3.375
3.940
4.575
5.802
6.571
7261
7.962
6.672
9.300
10.117
10.851
11.581
12.338
13.00
13.048
14.611
15.379
16.151
16.928
17.708
18.400
26.509
34.764
43.188
48.758
51.799
57.153
60.391
65.847
68.126
74.222 77.929
0.95
0.90
0.016
0.211
0.504
1.064
1.610
2:204
2.833
3.490
4.168
5.578
6.304
7.042
8.547
9.312
10.005
10.865
11.651
12.443
13.240
14.042
15.459
16.475
17.292
18.114
18.909
19.768
20.599
23.051
37.689
46.499
56.329
64.778
73.291
82.358
06:0
0.10
2.706
4.605
6.251
7.779
9.236
10.645
12.017
13.362
14.684
15.997
17.275
18.543
19812
21.064
22.307
23.542
24.700
25.999
27.204
28.412
29415
30.813
32.007
33.196
34.382
35.563
36.741
37.916
40.256
51.805
63.167
74.397
85.527
0.05
3.841
5.991
0.10
9.458
11.071
12.582
14.067
15.507
18.307
19:475
22.382
23.685
24.996
26.296
27.587
28.500
30.144
32.671
33.904
35.172
36.415
37.652
38.885
41.337
42.567
43.773
0.025
5.024
7.378
9:348
11.143
500
12.833
14.449
16.013
17.535
19.023
20.483
21.900
23.337
24.736
27.488
28.845
30.191
31.529
32.862
34.170
35.479
36.781
38.076
36.364
40.545
55.758
62.505
79082
90.531
96.578 101.879 106.629
107.565
113.145
118.136
118.498
124.342 129.561
41.523
43.194
44.461
45.722
46.979
50.342
71.420
83.298
96.023
1000
0.01
6.635
9210
11.345
13277
15.006
16.812
18.475
20090
21.686
23.209
24.725
26.217
29.141
30.578
32.000
33.409
34.805
36.191
995.08
36.932
40.299
41.638
42.900
44.314
45.642
46.278
50.892
76.154
88.379
100.425
112.329
124.116
135.807
0.01
0.005
7.879
10.587
12.038
14.860
16.750
18.548
20.278
21.955
28.290
29.819
31.319
32.801
34.267
35.718
37.156
39.990
44.181
45559
46.928
48.290
49.645
50.990
52.336
53.672
66.766
79.400
91.962
104.215
116.321
128.299
140.169
0.005
Des of
Freedom
1
2
10
11
12
13
14
15
16
17
18
19
20
21
23
24
25
27
28
29
30
50
80
70
NO
90
100
Degrees of
Transcribed Image Text:Degrees of Freedom 1 2 3 4 S 7 8 10 11 12 13 14 15 16 17 18 19 20 21 22 24 25 26 27 28 30 70 06 100 Degroes of Freedom Chi-Square (x²) Distribution 0.995 0.010 0.072 0.207 0.412 0.676 0.999 1.344 1.735 2.156 2003 1074 3.585 4075 4.601 5.142 5.037 6.295 6.844 7.434 8.004 4.643 9.200 9.806 10:520 11.150 11.800 12.461 13.121 13.787 20.707 27.991 35.534 43.275 51.172 59.196 67.328 0.995 0.000 0.297 0.554 0.872 1.239 1646 2008 2.558 3.053 1571 4.107 4.660 5.229 5812 6.408 7.015 7.633 8.260 8.887 9.542 10.196 10854 11.524 12.199 12.879 13.565 14.04 22.154 29.707 37.485 45.442 53.540 61.754 70065 0.575 0.001 0.051 0216 0.454 0.831 1.217 1.600 2:180 2.700 3.247 1816 4.404 5.000 5.629 6.262 6.900 7.584 8.231 8.967 9.591 10.283 10.002 11.689 12:401 13.120 13.544 14.573 15.300 16.047 16.791 24.433 32.367 Ar to the Right of the Critical 0.95 0.004 0.100 0.711 1.145 1.636 2:167 2.733 3.375 3.940 4.575 5.802 6.571 7261 7.962 6.672 9.300 10.117 10.851 11.581 12.338 13.00 13.048 14.611 15.379 16.151 16.928 17.708 18.400 26.509 34.764 43.188 48.758 51.799 57.153 60.391 65.847 68.126 74.222 77.929 0.95 0.90 0.016 0.211 0.504 1.064 1.610 2:204 2.833 3.490 4.168 5.578 6.304 7.042 8.547 9.312 10.005 10.865 11.651 12.443 13.240 14.042 15.459 16.475 17.292 18.114 18.909 19.768 20.599 23.051 37.689 46.499 56.329 64.778 73.291 82.358 06:0 0.10 2.706 4.605 6.251 7.779 9.236 10.645 12.017 13.362 14.684 15.997 17.275 18.543 19812 21.064 22.307 23.542 24.700 25.999 27.204 28.412 29415 30.813 32.007 33.196 34.382 35.563 36.741 37.916 40.256 51.805 63.167 74.397 85.527 0.05 3.841 5.991 0.10 9.458 11.071 12.582 14.067 15.507 18.307 19:475 22.382 23.685 24.996 26.296 27.587 28.500 30.144 32.671 33.904 35.172 36.415 37.652 38.885 41.337 42.567 43.773 0.025 5.024 7.378 9:348 11.143 500 12.833 14.449 16.013 17.535 19.023 20.483 21.900 23.337 24.736 27.488 28.845 30.191 31.529 32.862 34.170 35.479 36.781 38.076 36.364 40.545 55.758 62.505 79082 90.531 96.578 101.879 106.629 107.565 113.145 118.136 118.498 124.342 129.561 41.523 43.194 44.461 45.722 46.979 50.342 71.420 83.298 96.023 1000 0.01 6.635 9210 11.345 13277 15.006 16.812 18.475 20090 21.686 23.209 24.725 26.217 29.141 30.578 32.000 33.409 34.805 36.191 995.08 36.932 40.299 41.638 42.900 44.314 45.642 46.278 50.892 76.154 88.379 100.425 112.329 124.116 135.807 0.01 0.005 7.879 10.587 12.038 14.860 16.750 18.548 20.278 21.955 28.290 29.819 31.319 32.801 34.267 35.718 37.156 39.990 44.181 45559 46.928 48.290 49.645 50.990 52.336 53.672 66.766 79.400 91.962 104.215 116.321 128.299 140.169 0.005 Des of Freedom 1 2 10 11 12 13 14 15 16 17 18 19 20 21 23 24 25 27 28 29 30 50 80 70 NO 90 100 Degrees of
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