Question

The weight percent of silicon in six different rock samples, each containing different amounts of silicon, was measured by two different methods. The results are given in the table. Sample Method A Si wt% Method B Si wt% 1 11.570 11.520 2 15.380 15.320 17.950 17.900 22.840 22.810 25.110 25.150 27.070 27.030 Determine tak teale Determine table at the 95% confidence level. A list of t values can be found in the Student's t table. ttable = Are these methods significantly different at the 95% confidence level? O O The methods are significantly different at the 95% confidence level. The methods are not significantly different at the 95% confidence level.

Answer 1

Yilren that to calculate teale, Sample method a method B di B- A 11.570 11.520 -0.05 15.380 15:320 -0.06 15.950 17.900 -0.05 22.840 22.810 --003 0.04 25.110 27.070 25.150 27030 -0.04 mean difference de la -0.05 -0.06 -0.05 -0.03 -0.04 +0.04 -0.23+0.046 1 -0.1916 T -0.03166 E (di-dor Standard deviation, Spa v n-1 (-0.05-(-0.03166)+60-06-(-0·03166) + €0.05-(-0.0360)4 0.03-609869) +0.046-0.03166)*+(-0.04 -(-0·0316657 6-1 6 0.01834)+ (-0.02834) 7 (-0.01834)+(1.86*77*)*(0.04160) +(8.34*103)

(3.36*104)+18.03(410+(3:36*10')+1275*166)+ *6.955Alons ✓ 6-682*10°/5 V 1.33671013 d = 0.03655 t- Statistic as The i calculated 1a tcale : Solan -0.03166 0. 03655 IJO : -0.03166/0.01492 part 1: teal a -2,1213 / > part 2; Number of degrees of freedom Cd) do n- student's 't d= 6-1 table d=5 from the given table at ☺ and 95). Confidence level ttable teala = 2.574 -part 3: If tuis table then null hypothesis rejected It meang tuo methods are not significantly at a confidence internal of 95% - *-