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 95% confidence interval for the difference 2 -H, between in the mean recovery times for the two medications, assuming normal populations with equal variances. n, = 19 s= 1.5 Medication 1 X, = 13 Medication 2 X2 = 18 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. n2 = 10 s = 1.1 The confidence interval is <42-H<. (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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n.
n.
Critical Values of the t-Distribution
0.40
0.30
0.20
0.15
0.10
0.05
0.025
1
0.325
0.727
1.376
1.963
3.078
6.314
12.706
2.920
4.303
3.182
2.776
0.289
0.617
1.061
1.386
1.886
3
0.277
0.584
0.978
1.250
1.638
2.353
0.271
0.569
0.941
1.190
1.533
2.132
0.267
0.559
0.920
1.156
1.476
2.015
2.571
6
0.265
0.553
0.906
1.134
1.440
1.943
2.447
2.365
2.306
0.263
0.549
0.896
1.415
1.397
1.119
1.895
0.889
0.883
8
0.262
0.546
1.108
1.860
0.543
0.542
0.261
1.100
1.383
1.833
2.262
10
0.260
0.879
1.093
1.372
1.812
2.228
0.260
1.796
1.782
2.201
2.179
11
0.540
0.876
1.088
1.363
12
0.259
0.539
0.873
1.083
1.356
0.259
0.258
0.258
0.870
0.868
0.866
1.079
1.076
1.350
1.345
13
0.538
1.771
1.761
1.753
2.160
2.145
2.131
14
0.537
15
0.536
1.074
1.341
0.535
0.865
2.120
0.258
0.257
1.071
1.337
1.333
16
1.746
1.069
1.067
17
0.534
0.863
1.740
2.110
0.257
0.257
1.734
2.101
0.534
0,533
1.330
1.328
18
0.862
2.093
2.086
19
0.861
1.066
1.729
20
0.257
0.533
0.860
1.064
1.325
1.725
2.080
2.074
2.069
2.064
0.257
0.532
0.532
1.063
1.061
1.721
1.717
21
0.859
1.323
0.256
0.858
1.321
1.319
22
0.858
0.857
23
0.256
0.532
1.060
1.714
1.711
1.708
24
0.256
0.531
1.059
1.318
25
0.256
0.531
0.856
1.058
1.316
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
Print
Done
Transcribed Image Text:n. n. Critical Values of the t-Distribution 0.40 0.30 0.20 0.15 0.10 0.05 0.025 1 0.325 0.727 1.376 1.963 3.078 6.314 12.706 2.920 4.303 3.182 2.776 0.289 0.617 1.061 1.386 1.886 3 0.277 0.584 0.978 1.250 1.638 2.353 0.271 0.569 0.941 1.190 1.533 2.132 0.267 0.559 0.920 1.156 1.476 2.015 2.571 6 0.265 0.553 0.906 1.134 1.440 1.943 2.447 2.365 2.306 0.263 0.549 0.896 1.415 1.397 1.119 1.895 0.889 0.883 8 0.262 0.546 1.108 1.860 0.543 0.542 0.261 1.100 1.383 1.833 2.262 10 0.260 0.879 1.093 1.372 1.812 2.228 0.260 1.796 1.782 2.201 2.179 11 0.540 0.876 1.088 1.363 12 0.259 0.539 0.873 1.083 1.356 0.259 0.258 0.258 0.870 0.868 0.866 1.079 1.076 1.350 1.345 13 0.538 1.771 1.761 1.753 2.160 2.145 2.131 14 0.537 15 0.536 1.074 1.341 0.535 0.865 2.120 0.258 0.257 1.071 1.337 1.333 16 1.746 1.069 1.067 17 0.534 0.863 1.740 2.110 0.257 0.257 1.734 2.101 0.534 0,533 1.330 1.328 18 0.862 2.093 2.086 19 0.861 1.066 1.729 20 0.257 0.533 0.860 1.064 1.325 1.725 2.080 2.074 2.069 2.064 0.257 0.532 0.532 1.063 1.061 1.721 1.717 21 0.859 1.323 0.256 0.858 1.321 1.319 22 0.858 0.857 23 0.256 0.532 1.060 1.714 1.711 1.708 24 0.256 0.531 1.059 1.318 25 0.256 0.531 0.856 1.058 1.316 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 Print Done
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 95% confidence interval for the difference u, - H, between in the mean
recovery times for the two medications, assuming normal populations with equal variances.
Medication 1
n, = 19
X1
= 13
= 1.5
Medication 2
n2 = 10
X2
= 18
2
= 1.1
S
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
<
(Round to two decimal places as needed.)
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 95% confidence interval for the difference u, - H, between in the mean recovery times for the two medications, assuming normal populations with equal variances. Medication 1 n, = 19 X1 = 13 = 1.5 Medication 2 n2 = 10 X2 = 18 2 = 1.1 S 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 < (Round to two decimal places as needed.)
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