need to know the test statistic, critical values, and whether or not to reject H0 if the test statistic falls in the rejection region.
need to know the test statistic, critical values, and whether or not to reject H0 if the test statistic falls in the rejection region.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Topic Video
Question
H0: u1 = u2
H0: u1 =/= u2
I need to know the test statistic, critical values, and whether or not to reject H0 if the test statistic falls in the rejection region.
Transcribed Image Text:Researchers from a certain country were interested in how characteristics of the spleen of residents in their tropical environment compare to those found elsewhere in the world. The researchers randomly sampled 90 males and 110 females
in their country. The mean and standard deviation of the spleen lengths for the males were 10.8 cm and 0.9 cm, respectively, and those for the females were 9.9 cm and 1.1 cm, respectively. At the 1% significance level, do the data provide
sufficient evidence to conclude that a difference exists in the mean spleen lengths of males and females in the country?
Click here to view page 1 of the table of critical values of t
Click here to view page 2 of the table of critical values of t.
Transcribed Image Text:df
10.10
10.01
10.005
df
6.314
df
fo.10
teas
10.025
df
3.078
1.886
12.706
4.303
31.821
63.657
2.920
6.965
9.925
50
1.299
1.298
1.676
1.675
1.638
2.353
3.182
4.541
5.841
3
2.009
2.403
2.678
50
1.533
2.132
2.776
3.747
4,604
2.008
2.402
2.676
51
2.007
2.674
2.672
52
1.298
1.675
2.400
52
1.476
1.440
1.415
2.015
1.943
1.895
2.571
3.365
4.032
3.707
3.499
53
1.298
1.674
2.006
2.399
53
6.
2.447
3.143
6.
54
1.297 1.674
2.005
2.397
2.670
54
7
2.365
2.306
2.262
2.998
2.896
7
1.397
1.860
3.355
55
1.297
1.673
2.004
2.396
2.668
55
9
1.383
1.833
2.821
3.250
9
56
1.297
1.673
2.003
2.395
2.667
56
2.665
2.663
2.662
57
1.297
1.672
1.672
1.671
10
1.372
2.002
2.394
57
1.812
1.796
2.228
2.764
3.169
10
58
1.296
1.296
2.002
2.001
2.392
2.391
11
58
1.363
1.356
1.350
1.345
2.201
2.718
3.106
11
12
1.782
2.179
2.681
3.055
12
59
59
13
1.771
2.160
2.650
3.012
13
60
1.296 1.671
2.000
2.390
2.660
60
14
1.761
2.145
2.624
2.977
14
61
1.296
1.295
1.295
1.295
1.670
2.000
2.389
2.659
61
15
1.341
1.753
2.131
2.602
2.583
2.947
2.921
15
16
62
1.670
1.999
2.388
2.657
62
16
1.337
1.746
2.120
63
1.669
1.998
2.387
2.386
2.656
63
17
1.333
1.740
2.110
2.567
2.898
17
64
1.669
1.998
2.655
64
1.330
1.734
2.552
2.539
18
2.101
2.093
2.878
2.861
18
1.997
1.997
65
1.295
1.295
1.669
2.385
2.384
2.654
2.652
19
1.328
1.729
19
65
66
1.668
66
20
21
1.325
1.725
2.086
2.528
2.845
20
67
1.294
1.668
1.996
1.995
1.995
2.383
2.651
67
1.323
1.321
1.721
2.080
2.074
2.518
2.508
2.831
2.819
21
68
1.294
1.668
2.382
2.650
68
22
1.717
22
69
1.294
1.667
2.382
2.649
69
23
1.319
1.714
2.069
2.500
2.807
23
24
1.318
1.711
2.064
2.492
2.797
24
70
1.294
1.667
1.994
2.381
2.648
70
25
1.316
1.708
2.060
2.485
2.787
25
71
1.294
1.667
1.994
2.380
2.647
71
72
1.293
1.666
2.379
2.646
72
1.315
1.314
1.993
1.993
2.379
1.993 2.378
26
1.706
2.056
2.479
2.779
26
1.666
1.666
73
1.293
2.645
73
74
27
1.703
2.052
2.473
2.771
2.763
27
74
1.293
2.644
2.048
2.045
28
1.313
1.701
1.699
2.467
28
29
1.311
2.462
2.756
29
75
1.293
1.292
1.292
1.665
1.664
1.663
1.992 2.377
2.643
75
1.310
1.697
2.042
2.457
2.750
30
80
85
1.990 2.374
2.639
2.635
80
85
30
31
1.309
1.696
2.040
1.988
2.371
2.453
2.449
2.445
2.744
2.738
2.733
31
32
1.694
1.309
1.308
2.037
2.035
32
33
90
1.291
1.662
1.987
2.368
2.632
90
33
1.692
95
1.291
1.661
1.985
2.366
2.629
95
34
1.307
1.691
2.032
2.441
2.728
34
100
1.290
1.660
1.984
2.364
2.626
100
35
1.306
1.690
2.030
2.438
2.724
35
200
1.286
1.653
1.972
2.345
2.601
200
36
1.306
1.688
2.028
2.434
2.719
36
300
1.284
1.650
1.968
2.339
2.592
300
1.687
2.026
2.024
37
1.305
2.431
2.715
37
400
1.284
1.649
1.966
2.336
2.588
400
38
1.304
1.686
2.429
2.712
2.708
38
500
1.283
1.648
1.965
2.334
2.586
500
39
1.304
1.685
2.023
2.426
39
600
1.283
1.647
1.964
2.333
2.584
600
40
1.303
1.303
1.302
1.302
1.684
2.021
2.423
2.704
40
700
1.283
1.647
1.963
2.332
2.583
700
41
1.683
2.020
2.421
2.701
41
800
1.283
1.282
1.647
1.963
2.331
2.330
2.582
2.581
800
1.682
1.681
2.018
2.017
42
2.418
2.698
42
1.647
1.963
1.962
1.961 2.328
43
2.416
900
900
2.695
2.692
43
44
1.301
1.680
2.015
2.414
44
1000
1.282
1.646
2.330
2.581
1000
2000
1.282
1.646
2.578
2000
45
1.301
1.679
2.014
2.013
2.412
2.690
2.687
45
46
1.300
1.679
2.410
46
df
f0.025
df
47
1.300
1.678
2.012
2.408
2.685
47
1.677
2.407
48
49
48
1.299
2.011
2.010
2.682
2.680
49
1.299
1.677
2.405
1.282
1.645
1.960 2.326 2.576
df
df
Za.10
%23
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