A student wishes to compare two different methods for determining the same analyte, and obtains the results shown below. Using the appropriate statistical test at
A student wishes to compare two different methods for determining the same analyte, and obtains the results shown below. Using the appropriate statistical test at the 95% confidence level, is there any evidence of bias between the two methods?
Sample number
Method A
Method B
1
0.242
0.251
2
0.482
0.498
3
0.716
0.751
4
0.958
0.989
5
1.200
1.283
Group of answer choices
No, because F ? Fcrit at the 95% CL
No, because G ? Gcrit at the 95% CL
No, because t ? tcrit at the 95% CL
Yes, because F > Fcrit at the 95% CL
Yes, because G > Gcrit at the 95% CL
Yes, because t > tcrit at the 95% CL
pipette 10.00 1 0.02 5.00 + 0.01 93.00 4.00 + 0.01 93.00 3.00 + 0.01 93.00 2.00 + 0.006 93.00 1.00 + 0.006 93.00 10.00 + 0.05 100.00 5.00 + 0.04 86.00 Mohr 2.00 86.00 pipetter + 0.02 1.00 + 0.02 86.00 0.100 + 0.005 91.00 1000.0 1 0.30 61.00 500.0 + 0.15 50.00 250.0 + 0.12 39.00 200.0 + 0.10 37.00 Volumetric 100.00 + 0.08 32.00 flask 50.00 + 0.05 30.00 25.00 + 0.03 28.00 10.00 + 0.02 26.00 5.00 + 0.02 25.00 1.00 + 0.01 30.00 * Volume to deliver at the mark, at a temperature of 20 C Check whether pipette is 'To Deliver' (TD) or 'To Contain' * 2003 Prices - adjust for inflation!CHM 217 Fall 2020: Data Tables for Analytical Chemistry 1. Critical values for Grubb's test at the 95% CL (P= 0. 05) '1 Geri! 3 2.507 4 2.708 5 2.909 6 3.128 Calculate G for the most extreme value (minimum or maximum) and look up the critical value Gerit in the table above: X suspect _ xl G = May reject xsuspm as an outlier if G > Gen-t S 2. Values of the t-statistic at the 95% CL (P = 0.05) for a 2-tailed test V= n 1 tcrit 1 2.131 2 2.086 3 2.060 4 2.04 5 For a ttest, calculate the value of t and look up the critical value tom in the table above. For example, to compare a sample mean with a true value: git27W The sample mean is not from the parent population if t > tam To calculate a condence interval, look up the value of t 'om the table for the appropriate value of n and calculate: 4.. To calculate a confidence interval, look up the value of t from the table for the appropriate value of n and calculate: 95% Confidence interval: M = x +- Is 3. Values of the F statistic at the 95% CL (P = 0.05) for a 1-tailed test Fcrit N = 2 3 4 5 6 7 8 9 10 1 = 2 19.00 19.16 19.25 19.30 19.33 19.35 19.37 19.38 19.40 9.552 9.277 9.117 9.013 8.941 8.887 8.845 8.812 8.786 6.944 6.591 6.388 6.256 6.163 6.094 6.041 5.999 5.964 5.786 5.409 5.192 5.050 4.950 4.876 4.818 4.772 4.735 5.143 4.757 4.534 4.387 4.284 4.207 4.147 4.099 4.060 4.737 4.347 4.120 3.972 3.866 3.787 3.726 3.677 3.637 4.459 4.066 3.838 3.687 3.581 3.500 3.438 3.388 3.347 4.256 3.863 3.633 3.482 3.374 3.293 3.230 3.179 3.137 4.103 3.708 3.478 3.326 3.217 3.135 3.072 3.020 2.978 For an F-test, calculate the value of F and lookup the critical value Forit in the table above. Note that the larger standard deviation is always used as the numerator: F = 1, where S, > S, i.e. F> 1 Page 12 of 4 The standard deviations are assumed to be for samples drawn from the same population (1'. e. NO signicant difference) if F S F cm. 4. Uncertainties for Selected Volumetric Glassware m Volume (mL)* Absolute Uncertainty (mL) Cost ($);t n/a 215.00 n/a 162.00 151.00 Transfer 142-00 pipette 104.00 93 .00 93 .00 93.00 93.00 93.00
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