A taxi company is trying to decide whether to purchase brandA or brand B tires for its fleet of taxis, To estimate the difference in the two brands, an experiment is conducted using 15 of each brand. The tires are run until they wear out The results are given in the table below Compute a 90% confidence interval for u-Ha assuming Brand A populations to be approximately normally distributed. You may not assume that the variances are equal X= 35,000 kilometers X= 37,200 kilometers 9, = 4600 kilometers 5=6100 kilometers Brand B Cilck 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 citical velues of the t-distribution The confidence interval is<- pa< (Round to the nearest integer as needed)

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A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 15 of each brand. The tires are run until they wear out The results are given in the table
below. Compute a 90% confidence interval for u-Ha assuming the populations to be approximately normally distributed. You may not assume that the variances are equal.
X = 35,000 kilometers
X2 = 37,200 kilometers
Click here to view page 1 of the table of critical values of thet-distribution.
Click here to view page 2 of the table of critical values of the t-distribution.
s, = 4600 kilometers
S- =6100 kilometers
Brand A
Brand B
The confidence interval is< - Pa
(Round to the nearest integer as needed)
Transcribed Image Text:A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 15 of each brand. The tires are run until they wear out The results are given in the table below. Compute a 90% confidence interval for u-Ha assuming the populations to be approximately normally distributed. You may not assume that the variances are equal. X = 35,000 kilometers X2 = 37,200 kilometers Click here to view page 1 of the table of critical values of thet-distribution. Click here to view page 2 of the table of critical values of the t-distribution. s, = 4600 kilometers S- =6100 kilometers Brand A Brand B The confidence interval is< - Pa (Round to the nearest integer as needed)
Critical Values of the t-Distribution
0.40
0.30
0.20
0.15
0.10
0.05
6.314
2.920
2.353
2.132
2.015
ot
1943
0.025
12.706
4303
3.182
2.776
2.571
0.325
0.289
0.727
1.376
1.061
0.978
0.941
1.963
1.386
1.250
1.190
1.156
3.078
1.886
1.638
1.533
1.476
0.617
0.584
3.
0.277
0.271
0.569
0.267
0.559
0.920
0.265
0.263
0.262
0.261
0.260
0.553
0.906
0.996
1.134
2.447
2.365
2:306
2 262
2.228
2201
2179
2.160
2145
2.131
2.120
2.110
2 101
2.093
2.086
0.549
0.546
0.543
1.415
1.397
1.383
1.372
1.895
0.889
0.883
0.879
1.108
1.100
1.833
1.812
10
0.542
1.093
11
0.260
0.259
0.259
0.258
0.258
0.540
0.876
1.088
1.083
1.079
1.363
1.356
1.350
1.345
1.341
1.796
1.782
1.771
1.761
1.753
12
0.539
0.538
0.537
0.873
0.870
0.868
13
14
1.076
15
0.536
0.866
1.074
16
0.258
0.535
0.534
0.865
1.071
1.069
1.337
1.746
1.740
1.734
1729
1.725
17
0.257
0.863
18
0.257
0.257
0.257
0.534
0.862
0.861
0.860
1.067
1.330
1.328
1.325
19
0,533
0.533
1.066
20
1.064
21
0.257
0.256
0.532
0.859
1.063
1.061
1.323
1.721
1.717
1.711
2080
2074
2.069
2.061
2060
2.056
2.052
2018
22
0.532
0.858
0.858
1.321
1319
1318
1.316
23
0.256
8.532
1.060
21
0.256
0.531
0 857
0.856
1.059
1.711
1.708
1 706
1.703
25
0.256
0.531
1.058
26
0,256
0.256
0.256
0.531
0.856
1 058
1315
27
0.531
0.530
0.855
1.057
1.314
28
0855
1.056
1313
1.701
120
Transcribed Image Text:Critical Values of the t-Distribution 0.40 0.30 0.20 0.15 0.10 0.05 6.314 2.920 2.353 2.132 2.015 ot 1943 0.025 12.706 4303 3.182 2.776 2.571 0.325 0.289 0.727 1.376 1.061 0.978 0.941 1.963 1.386 1.250 1.190 1.156 3.078 1.886 1.638 1.533 1.476 0.617 0.584 3. 0.277 0.271 0.569 0.267 0.559 0.920 0.265 0.263 0.262 0.261 0.260 0.553 0.906 0.996 1.134 2.447 2.365 2:306 2 262 2.228 2201 2179 2.160 2145 2.131 2.120 2.110 2 101 2.093 2.086 0.549 0.546 0.543 1.415 1.397 1.383 1.372 1.895 0.889 0.883 0.879 1.108 1.100 1.833 1.812 10 0.542 1.093 11 0.260 0.259 0.259 0.258 0.258 0.540 0.876 1.088 1.083 1.079 1.363 1.356 1.350 1.345 1.341 1.796 1.782 1.771 1.761 1.753 12 0.539 0.538 0.537 0.873 0.870 0.868 13 14 1.076 15 0.536 0.866 1.074 16 0.258 0.535 0.534 0.865 1.071 1.069 1.337 1.746 1.740 1.734 1729 1.725 17 0.257 0.863 18 0.257 0.257 0.257 0.534 0.862 0.861 0.860 1.067 1.330 1.328 1.325 19 0,533 0.533 1.066 20 1.064 21 0.257 0.256 0.532 0.859 1.063 1.061 1.323 1.721 1.717 1.711 2080 2074 2.069 2.061 2060 2.056 2.052 2018 22 0.532 0.858 0.858 1.321 1319 1318 1.316 23 0.256 8.532 1.060 21 0.256 0.531 0 857 0.856 1.059 1.711 1.708 1 706 1.703 25 0.256 0.531 1.058 26 0,256 0.256 0.256 0.531 0.856 1 058 1315 27 0.531 0.530 0.855 1.057 1.314 28 0855 1.056 1313 1.701 120
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