Is the difference between the two indicators significant at the 95% confidence level?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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8. (12) An analyst measured the concentration of acid in a solution using two different
indicators. His results were as follows:
Mean [HCI] F stand. Dev.
0.02467 F 0.0045
0.02407 † 0.0032
# measurements
Indicator A:
18
Indicator B:
12
Is the difference between the two indicators significant at the 95% confidence level?
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Transcribed Image Text:8. (12) An analyst measured the concentration of acid in a solution using two different indicators. His results were as follows: Mean [HCI] F stand. Dev. 0.02467 F 0.0045 0.02407 † 0.0032 # measurements Indicator A: 18 Indicator B: 12 Is the difference between the two indicators significant at the 95% confidence level? 15 etv MacBook Air 20 F3 DI DD F4 F5 F6 F7 F8 F9 F10 23 $ % & * 3 4 7 8 9 E Y G KI L
Degrees of freedom
50
90
95
98
99
99.5 99.9
1.000
0.816
0.765
6.314 12.706 31.821
2.920
2.353
63.656 127.321 636.578
9.925
1
4.303
6.965
14.089
31.598
3,182
2.776
2.571
12.924
4.541
3.747
3.365
3
5.841
7.453
2.132
2,015
1.943
1.895
1.860
5.598
4.604
4.032
8.610
6.869
4
0.741
0.727
0.718
4.773
6.
2.447
3.143
3.707
4.317
5.959
0.711
2.365
2.998
3.500
4.029
5.408
0.706
0.703
8
2.306
2.896
3.355
3.832
5.041
9
1.833
2.262
2.821
3.250
3.690
4.781
10
0.700
1.812
2.228
2.764
3.169
3.581
4.587
0.691
0.687
1.753
1.725
1.708
1.697
15
2.131
2.602
2.947
3.252
4.073
20
2.086
2.528
2.845
3.153
3.850
25
0.684
2.060
2.485
2.787
3.078
3.725
30
0.683
0.681
0.679
0.677
2.042
2.457
2.750
3.030
3.646
40
1.684
1.671
1.658
1.645
2.021
2.000
1.980
2.423
2.704
2.660
2.971
3.551
60
2,390
2.358
2.326
2.915
3.460
3.373
120
2.617
2.576
2.860
0.674.
1.960
2.807
3.291
NOTE: In calculating confidence intervals, a may be substituted for s in Equation 4-6 if you have a great deal of
experience with a particular method and have therefore determined its "true" population standard deviation. If o is
used instead ofs, the value of t to use in Equation 4-6 comes from the bottom row of Table 4-2.
Next
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Transcribed Image Text:Degrees of freedom 50 90 95 98 99 99.5 99.9 1.000 0.816 0.765 6.314 12.706 31.821 2.920 2.353 63.656 127.321 636.578 9.925 1 4.303 6.965 14.089 31.598 3,182 2.776 2.571 12.924 4.541 3.747 3.365 3 5.841 7.453 2.132 2,015 1.943 1.895 1.860 5.598 4.604 4.032 8.610 6.869 4 0.741 0.727 0.718 4.773 6. 2.447 3.143 3.707 4.317 5.959 0.711 2.365 2.998 3.500 4.029 5.408 0.706 0.703 8 2.306 2.896 3.355 3.832 5.041 9 1.833 2.262 2.821 3.250 3.690 4.781 10 0.700 1.812 2.228 2.764 3.169 3.581 4.587 0.691 0.687 1.753 1.725 1.708 1.697 15 2.131 2.602 2.947 3.252 4.073 20 2.086 2.528 2.845 3.153 3.850 25 0.684 2.060 2.485 2.787 3.078 3.725 30 0.683 0.681 0.679 0.677 2.042 2.457 2.750 3.030 3.646 40 1.684 1.671 1.658 1.645 2.021 2.000 1.980 2.423 2.704 2.660 2.971 3.551 60 2,390 2.358 2.326 2.915 3.460 3.373 120 2.617 2.576 2.860 0.674. 1.960 2.807 3.291 NOTE: In calculating confidence intervals, a may be substituted for s in Equation 4-6 if you have a great deal of experience with a particular method and have therefore determined its "true" population standard deviation. If o is used instead ofs, the value of t to use in Equation 4-6 comes from the bottom row of Table 4-2. Next 5 étv MacBook Air F5 DI F6 F7 F8 F9 F10 F11 F12 & * 6. %3D Y { } J B N M + || * CO
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