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- Calculate the standard deviation for an element whose % in a sample were found to be20.8, 21.6, 22.1, 22.0, 23.3, 21.9 and 22.8%C. Nickel in a sample was determined using a new procedure where six replicate samples resulted in a mean of 19.65% and a variance of 0.4524. Five replicate analyses where conducted using a standard procedure resulting in a mean of 19.24% and a variance of 0.105. If the pooled standard deviation was +0.546, is there a significant difference between the two methods?Provide an appropriate response. 12) The IQ scores of adults are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability that a randomly selected adult has an IQ score between 85 and 125.
- Replicate water samples are analyzed for water hardness with the following results: 102.2, 102.8, 103.1, and 102.3 ppm CaCO3. What is the (a) the standard deviation, (b) the relative standard deviation, (c) variance.5. A new method for measuring NO2 in air was developed and compared to a conventional method with the results summarized in the following table: Method Average concentration (ppb) Standard deviation (ppb) Number of measurementsConventional 56.0 3.1 7New 51.9 2.8 8 a) Is the standard deviation for the new method significantly different from that of the conventional method? b) Does the new method give an average concentration similar to the conventional method at the 95% confidence level?8) Two different analytical methods are compared for determining Ca. The following are two sets of data. Set 1 Set 2 155.779 155.784 155.787 155.787 155.813 155.765 155.781 155.793 i. i. Determine the mean and the standard deviation in Set 1. Calculate the 95% confidence limit for data in Set 1. Identify a possible outlier in Set 2. Use the Q-test to determine whether it can be retained or rejected at 95% confidence level. ii.
- The following are the results for the % Cu of ore sample: 24.52%, 24.75%, 24.82%, 24.69%, 24.78% Calculate the mean. (A) 24.71% B) 0.12% 24.75% 0.47%A set of experimental data is given below: 19.49, 19.75, 19.66, 19.58, 19.70 a) Determine the mean and the standard deviation. b) Calculate the 95% confidence limit.If it was discovered that a polyaromatic hydrocarbon (PAH) having a density of 1 g/cm3 has a concentration of 1 ppm in the soil, how much soil would be required if a standard deviation of 0.1 is desired for the fundamental sampling error?