Two methods were used to measure florescence lifetime of a dye. Method 1 Method 2 Mean lifetime 2.382 2.346 Standard deviation 0.035 0.049 Number of measurements 5 5 a) Are the standard deviations significantly different at 95% confidence level? b) Are the mean values significantly different at 95% confidence level?
Two methods were used to measure florescence lifetime of a dye. Method 1 Method 2 Mean...
Two different methods were used to measure the iron content of a cereal. Are the means of the two methods significantly different? Assume that the population standard deviation for each method is essentially the same. Method 1: -Mean [Fe+3] (mM) 1.382 -Standard Deviation (mM) 0.025 -# of measurements 4 Method 2: -Mean [Fe+3] (mM) 1.346 -Standard Deviation (mM) 0.039 -# of measurements 4
11.Two analytical methods were used to determine the amount of dextromethorphan in Children's Dimetapp. Use the F test and data in the table to determine if the standard deviations were significantly different or not, at 95% confidence level. Method A Method B Mean 492.7 mg.tsp 506.2 mg.tsp 0.28 10 0.16
38. In a physics experiment, two different methods were used to measure the angle of deflection when a subatomic particle collides with a certain material. Ten specimens of the material were used to compare the two methods, For each specimen, the angle of deflection was measured using both methods. For each specimen, the method used first was determined by the flip of a fair coin. The difference between the measured angles was calculated for each specimen. A test of the...
For the final project of an analytical chemistry laboratory course, the students were asked to quantify the lead (Pb2+) content in a drinking water sample. To receive a passing grade for the project, the students must produce a result (Pb2 concentration) that agrees with the result obtained by the course professor, who was using the same method, at the 95% confidence level. The mean (x), standard deviation (Sy) and number of replicate measurements (n) are shown below for the data...
Method 01 (mM) 31.40 31.24 31.18 31.43 Method 02 (mM) 30.70 29.49 30.01 30.15 Sample a. (4 pts) For each method, calculate the mean and standard deviation. b. (2 pts) Are the standard deviations significantly different at the 95% confidence level?
F-Test and corresponding t-Test for 95% confidence Three different methods were used to deterrmine the concentration of a certain bulk solution af acetic acid. The three methods were all titrations, using the same standard NaOH solution as titrant, and identical volumetric technique. The only difference was the choice of acid-base colour indicator to reveal the endpoint. For each method, the average acetic acid concentration and its standard deviation for the number of titrations (n) performed are summarized below IndicatorCH,COH+S (M)...
The resistance, R, of a resistor was determined by two different methods, A and B. For each method, the measurements were repeated 10 times. The results gave the following values for the mean and the standard error of the mean: method A, RA = (95 ± 8) Ω, method B, RB = (103 ± 2) Ω. It is clear that method B is more precise. How many more measurements are required for method A to be as precise as method...
A blood sample was sent to two different Labs for cholesterol analysis and results are tabulated below: Lab Lab-1 (mg/100 mL) Lab-2 (mg/100 mL) Mean ± 243 258 Standard deviation s 15 13 # of measurments n 5 6 (i)Are the standard deviations s1 & s2 significantly different at 95% confidence level? (ii)Are the means s1 & s2 significantly different at 90% confidence level? (*Must use F-test and T-test to conclude above)
Nitrite (NO2-) was measured by two methods in rainwater and unchlorinated drinking water. The results ± standard deviation (number of samples) are given in the following table. Gas chromatography Spectrophotometry Rainwater 0.069 ± 0.005 mg / L (n = 7) 0.063 ± 0.008mg / L (n = 5) Drinking water 0.078 ± 0.007 mg / L (n = 5) 0.087 ± 0.008 mg / L (n = 5) Do the two methods agree with each other at the 95% confidence...
An environmental scientist developed a new analytical method for the determination of cadmium (Cd2+) in mussels. To validate the method, the researcher measured the Cd2* concentration in standard reference material (SRM) 2976 that is known to contain 0.82 ± 0.16 ppm Cd24. Five replicate measurements of the SRM were obtained using the new method, giving values of 0.794, 0.763, 0.821, 0.835, and 0.768 ppm Cd2+. Calculate the mean (x), standard deviation (s,x), and the 95% confidence interval. A list of...