The following data represent the length of time, in days, to recovery for patients randomly treated with one of two medications to clear up severe bladder infections. Find a 99% confidence interval for the difference H₂- H₁ between in the mean recovery times for the two medications, assuming normal populations with equal variances. Medication 1 n₁ = 12 Medication 2 n₂ =17 ×₁ = 16 X2-19 $ = 1.5 $=1.1 Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. The confidence interval is
The following data represent the length of time, in days, to recovery for patients randomly treated with one of two medications to clear up severe bladder infections. Find a 99% confidence interval for the difference H₂- H₁ between in the mean recovery times for the two medications, assuming normal populations with equal variances. Medication 1 n₁ = 12 Medication 2 n₂ =17 ×₁ = 16 X2-19 $ = 1.5 $=1.1 Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. The confidence interval is
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Transcribed Image Text:Critical Values of the t-Distribution
> >
☑=
Critical Values of the t-Distribution
a
a
0.02
0.015
0.01
0.0075
0.005
0.0025
0.0005
"
0.40
0.30
0.20
0.15
0.10
0.05
0.025
1
15.894
21.205
31.821
42.433
63.656
127.321
636.578
1
0.325
0.727
1.376
1.963
3.078
6.314
12.706
2
4.849
5.643
6.965
8.073
9.925
14.089
31.600
2
0.289
0.617
1.061
1.386
1.886
2.920
4.303
3
3.482
3.896
4.541
5.047
5.841
7.453
12.924
3
0.277
0.584
0.978
1.250
1.638
2.353
3.182
4
2.999
3.298
3.747
4.088
4.604
5.598
8.610
4
0.271
0,569
0.941
1.190
1.533
2.132
2.776
5
2.757
3.003
3.365
3.634
4.032
4.773
6.869
5
0.267
0.559
0.920
1.156
1.476
2.015
2.571
6
2.612
2.829
3.143
3.372
3.707
4.317
5.959
6
0.265
0.553
0.906
1.134
1.440
1.943
2.447
7
2.517
2.715
2.998
3.203
3.499
4.029
5.408
7
0.263
0.549
0.896
1.119
1.415
1.895
2.365
8
2.449
2.634
2.896
3.085
3.355
3.833
5.041
8
0.262
0.546
0.889
1.108
1.397
1.860
2.306
9
2.398
2.574
2.821
2.998
3.250
3.690
4.781
9
0.261
0.543
0.883
1.100
1.383
1.833
2.262
2.359
2.527
2.764
2.932
3.169
3.581
4.587
10
0.260
0.542
0.879
1.093
1.372
1.812
2.228
2.328
2.491
2.718
2.879
3.106
3.497
4.437
11
0.260
0.540
0.876
1.088
1.363
1.796
2.201
2.303
2.461
2.681
2.836
3.055
3.428
4.318
12
0.259
0.539
0.873
1.083
1.356
1.782
2.179
2.282
2.436
2.650
2.801
3.012
3.372
4.221
13
0.259
0.538
0.870
1.079
1.350
1.771
2.160
2.264
2.415
2.624
2.771
2.977
3.326
4.140
14
0.258
0.537
0.868
1.076
1.345
1.761
2.145
2.249
2.397
2.602
2.746
2.947
3.286
4.073
15
0.258
0.536
0.866
1.074
1.341
1.753
2.131
2.235
2.382
2.583
2.724
2.921
3.252
4.015
16
0.258
0.535
0.865
1.071
1.337
1.746
2.120
2.224
2.368
2.567
2.706
2.898
3.222
3.965
17
0.257
0.534
0.863
1.069
1.333
1.740
2.110
2.214
2.356
2.552
2.689
2.878
3.197
3.922
18
0.257
0.534
0.862
1.067
1.330
1.734
2.101
2.205
2.346
2.539
2.674
2.861
3.174
3.883
19
0.257
0.533
0.861
1.066
1.328
1.729
2.093
2.197
2.336
2.528
2.661
2.845
3.153
3.850
20
0.257
0.533
0.860
1.064
1.325
1.725
2.086
2.189
2.328
2.518
2.649
2.831
3.135
3.819
21
0.257
0.532
0.859
1.063
1.323
1.721
2.080
22
0.256
0.532
0.858
1.061
1.321
1.717
2.074
23
0.256
0.532
0.858
1.060
1.319
1.714
2.069
24
0.256
0.531
0.857
1.059
1.318
1.711
2.064
25
0.256
0.531
0.856
1.058
1.316
1.708
2.060
26
0.256
0.531
0.856
1.058
1.315
1.706
2.056
27
0.256
0.531
0.855
1.057
1.314
1.703
2.052
28
0.256
0.530
0.855
1.056
1.313
1.701
2.048
29
0.256
0.530
0.854
1.055
1.311
1.699
2.045
ت
30
0.256
0.530
0.854
1.055
1.310
1.697
2.042
125%
40
0.255
0.529
0.851
1.050
1.303
1.684
2.021
60
0.254
0.527
0.848
1.045
1.296
1.671
2.000
120
120
0.254
0.526
0.845
1.041
1.289
1.658
1.980
∞
0.253
0.524
0.842
1.036
1.282
1.645
1.960
88 888 888-
2.183
2.320
2.508
2.639
2.819
3.119
3.792
2.177
2.313
2.500
2.629
2.807
3.104
3.768
2.172
2.307
2.492
2.620
2.797
3.091
3.745
2.167
2.301
2.485
2.612
2.787
3.078
3.725
2.162
2.296
2.479
2.605
2.779
3.067
3.707
2.158
2.291
2.473
2.598
2.771
3.057
3.689
2.154
2.286
2.467
2.592
2.763
3.047
3.674
2.150
2.282
2.462
2.586
2.756
3.038
3.660
2.147
2.278
2.457
2.581
2.750
3.030
3.646
2.123
2.250
2.423
2.542
2.704
2.971
3.551
2.099
2.223
2.390
2.504
2.660
2.915
3.460
2.076
2.196
2.358
2.468
2.617
2.860
3.373
2.054
2.170
2.326
2.432
2.576
2.807
3.290
0.02
0.015
0.01
0.0075
0.005
0.0025
0.0005
"
0.40
0.30
0.20
0.15
0.10
0.05
0.025
a
Q
a
Ο
Transcribed Image Text:The following data represent the length of time, in days, to recovery for patients randomly treated with one of two
medications to clear up severe bladder infections. Find a 99% confidence interval for the difference μ₂- μ₁ between
in the mean recovery times for the two medications, assuming normal populations with equal variances.
Medication 1
n₁ = 12
×₁ = 16
Medication 2
n₂ = 17
X2=19
$² = 1.5
$=1.1
Click here to view page 1 of the table of critical values of the t-distribution.
Click here to view page 2 of the table of critical values of the t-distribution.
The confidence interval is ☐ <H₂-H₁<[
(Round to two decimal places as needed.)
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