A researcher hypothesizes that the administration of Trintellix, a new treatment for clinical depression, will decrease the number of depressive episodes experienced per week.    PID Pre-treatment Post-treatment 1 4 2 2 3 2 3 3 2 4 2 1 5 4 4 6 4 1

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.6: Percents Problems
Problem 1WE
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A researcher hypothesizes that the administration of Trintellix, a new treatment for clinical depression, will decrease the number of depressive episodes experienced per week. 

 

PID Pre-treatment Post-treatment
1 4 2
2 3 2
3 3 2
4 2 1
5 4 4
6 4 1

 

 

 What is the appropriate statistical test to use for this study?

  In decimal form, express the calculated statistic. Round to the nearest hundredths.

 If alpha criteria is set at 0.05, is there a treatment effect?

t Table
cum. prob
t so
0.50
t 3o
0.20
t so
0.10
0.20
tas
t at
t 975
t g95
t 99
t 9995
one-tail
two-tails
0.25
0.15
0.05
0.025
0.01
0.005
0.001 0.0005
1.00
0.50
0.40
0.30
0.10
0.05
0.02
0.01
0.002
0.001
1
UP
0.000
1.000
1.376
1.963
3.078
6.314
12.71
31.82
6.965
63.66
9.925
318.31
636.62
31.599
0.000
0.816
1.061
1.386
1.886
2.920
2.353
4.303
22.327
10.215
7.173
5.893
5.208
0.000
0.765
0.978
1.250
1.638
3.182
4.541
5.841
12.924
8.610
6.869
5.959
5.408
5.041
4.781
4.587
4.437
4.318
4
5
0.000
0.741
0.941
1.190
1.533
2.132
2.776
3.747
4.604
0.000
0.727
0.718
0.920
0.906
0.896
0.889
1.156
1.134
1.476
2.015
1.943
2.571
3.365
3.143
4.032
0.000
0.000
0.000
1.440
1.415
1.397
2.447
3.707
0.711
1.119
1.895
1.860
2.365
2.998
2.896
3.499
3.355
4.785
0.706
1.108
2.306
4.501
9
10
11
12
13
14
15
16
17
18
19
20
0.000
0.703
0.883
0.879
1.100
1.383
1.833
2.262
2.821
3.250
3.169
4.297
0.000
0.700
1.093
1.372
1.812
2.228
4.144
4.025
3.930
3.852
3.787
3.733
3.686
3.646
3.610
3.579
0.000
0.000
0.697
0.695
0.694
2.764
2.718
0.876
0.873
1.088
1.363
1.796
2.201
3.106
3.055
1.083
1.356
1.782
2.179
2.681
0.000
0.870
1.079
1.350
1.771
2.160
2.650
3.012
4.221
4.140
4.073
0.000
0.692
0.868
1.076
1.345
1.761
2.145
2.624
2.977
0.000
0.691
0.866
1.074
1.341
1.753
2.131
2.947
2.921
2.602
0.000
0.690
0.865
1.071
1.337
1.746
2.120
2.583
0.000
0.000
4.015
3.965
0.689
0.863
1.069
1.067
1.333
1.740
2.110
2.567
2.898
0.688
0.862
1.330
1.328
1.734
2.101
2.552
2.878
3.927
3.883
3.850
3.819
3.792
3.768
0.000
0.688
0.861
1.066
1.729
2.093
2.539
2.861
0.000
0.687
0.860
1.064
1.325
1.725
2.086
2.528
2.845
3.552
21
0.000
0.686
0.859
1.063
1.323
1.721
2.080
2.518
2.831
3.527
22
23
24
25
26
27
28
29
30
40
60
80
100
1000
0.000
0.686
0.858
1.061
1.321
1.717
2.074
2.508
2.819
3.505
3.485
3.467
0.000
0.685
0.858
1.060
1.319
1.714
2.069
2.500
2.807
0.000
0.685
0.857
1.059
1.318
1.711
2.064
2.492
2.797
3.745
0.000
0.684
0.856
1.058
1.316
1.708
2.060
2.485
2.787
3.450
3.725
0.000
0.684
0.856
1.058
1.315
1.706
2.056
2.479
2.779
3.435
3.421
3.408
3.396
3.707
0.000
0.684
0.683
0.855
1.057
1.314
1.703
2.052
2.473
2.771
3.690
0.000
0.855
1.056
1.313
1.701
2.048
2.467
2.462
2.763
2.756
3.674
0.000
0.683
0.854
1.055
1.311
1.699
2.045
3.659
0.000
0.854
1.055
1.050
0.683
1.310
1.697
2.042
2.457
2.750
3.385
3.307
3.232
3.646
0.000
0.681
0.851
1.303
1.684
2.021
2.423
2.704
3.551
0.000
0.679
0.848
1.045
1.296
1.671
2.000
2.390
2.660
2.639
3.460
3.416
0.000
0.678
0.846
1.043
1.292
1.664
1.990
2.374
3.195
0.000
0.677
0.845
1.290
1.282
1.042
1.660
1.984
2.364
2.626
3.174
3.390
3.300
0.000
0.675
0.842
1.037
1.646
1.962
2.330
2.581
3.098
0.000
0.674
0.842
1.036
1.282
1.645
1.960
2.326
2.576
3.090
3.291
0%
50%
60%
70%
80%
90%
95%
98%
99% 99.8% 99.9%
Confidence Level
234 567 890
Transcribed Image Text:t Table cum. prob t so 0.50 t 3o 0.20 t so 0.10 0.20 tas t at t 975 t g95 t 99 t 9995 one-tail two-tails 0.25 0.15 0.05 0.025 0.01 0.005 0.001 0.0005 1.00 0.50 0.40 0.30 0.10 0.05 0.02 0.01 0.002 0.001 1 UP 0.000 1.000 1.376 1.963 3.078 6.314 12.71 31.82 6.965 63.66 9.925 318.31 636.62 31.599 0.000 0.816 1.061 1.386 1.886 2.920 2.353 4.303 22.327 10.215 7.173 5.893 5.208 0.000 0.765 0.978 1.250 1.638 3.182 4.541 5.841 12.924 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4 5 0.000 0.741 0.941 1.190 1.533 2.132 2.776 3.747 4.604 0.000 0.727 0.718 0.920 0.906 0.896 0.889 1.156 1.134 1.476 2.015 1.943 2.571 3.365 3.143 4.032 0.000 0.000 0.000 1.440 1.415 1.397 2.447 3.707 0.711 1.119 1.895 1.860 2.365 2.998 2.896 3.499 3.355 4.785 0.706 1.108 2.306 4.501 9 10 11 12 13 14 15 16 17 18 19 20 0.000 0.703 0.883 0.879 1.100 1.383 1.833 2.262 2.821 3.250 3.169 4.297 0.000 0.700 1.093 1.372 1.812 2.228 4.144 4.025 3.930 3.852 3.787 3.733 3.686 3.646 3.610 3.579 0.000 0.000 0.697 0.695 0.694 2.764 2.718 0.876 0.873 1.088 1.363 1.796 2.201 3.106 3.055 1.083 1.356 1.782 2.179 2.681 0.000 0.870 1.079 1.350 1.771 2.160 2.650 3.012 4.221 4.140 4.073 0.000 0.692 0.868 1.076 1.345 1.761 2.145 2.624 2.977 0.000 0.691 0.866 1.074 1.341 1.753 2.131 2.947 2.921 2.602 0.000 0.690 0.865 1.071 1.337 1.746 2.120 2.583 0.000 0.000 4.015 3.965 0.689 0.863 1.069 1.067 1.333 1.740 2.110 2.567 2.898 0.688 0.862 1.330 1.328 1.734 2.101 2.552 2.878 3.927 3.883 3.850 3.819 3.792 3.768 0.000 0.688 0.861 1.066 1.729 2.093 2.539 2.861 0.000 0.687 0.860 1.064 1.325 1.725 2.086 2.528 2.845 3.552 21 0.000 0.686 0.859 1.063 1.323 1.721 2.080 2.518 2.831 3.527 22 23 24 25 26 27 28 29 30 40 60 80 100 1000 0.000 0.686 0.858 1.061 1.321 1.717 2.074 2.508 2.819 3.505 3.485 3.467 0.000 0.685 0.858 1.060 1.319 1.714 2.069 2.500 2.807 0.000 0.685 0.857 1.059 1.318 1.711 2.064 2.492 2.797 3.745 0.000 0.684 0.856 1.058 1.316 1.708 2.060 2.485 2.787 3.450 3.725 0.000 0.684 0.856 1.058 1.315 1.706 2.056 2.479 2.779 3.435 3.421 3.408 3.396 3.707 0.000 0.684 0.683 0.855 1.057 1.314 1.703 2.052 2.473 2.771 3.690 0.000 0.855 1.056 1.313 1.701 2.048 2.467 2.462 2.763 2.756 3.674 0.000 0.683 0.854 1.055 1.311 1.699 2.045 3.659 0.000 0.854 1.055 1.050 0.683 1.310 1.697 2.042 2.457 2.750 3.385 3.307 3.232 3.646 0.000 0.681 0.851 1.303 1.684 2.021 2.423 2.704 3.551 0.000 0.679 0.848 1.045 1.296 1.671 2.000 2.390 2.660 2.639 3.460 3.416 0.000 0.678 0.846 1.043 1.292 1.664 1.990 2.374 3.195 0.000 0.677 0.845 1.290 1.282 1.042 1.660 1.984 2.364 2.626 3.174 3.390 3.300 0.000 0.675 0.842 1.037 1.646 1.962 2.330 2.581 3.098 0.000 0.674 0.842 1.036 1.282 1.645 1.960 2.326 2.576 3.090 3.291 0% 50% 60% 70% 80% 90% 95% 98% 99% 99.8% 99.9% Confidence Level 234 567 890
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