If the standard deviation of the mean (Sm) of a set of 4 replicate measurements is 0.09, the variance would be: Select one: O a. 0.03 b. 0.01 O c. 0.04 d. 0.18 e. 0.09
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- 8. Assuming that an experiment's results are 10.1, 10.4, and 10.6, find the mean, the average deviation from the mean, the standard deviation from the mean, and the relative deviation from the mean. AYAWProvide 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 125.9) The following results were obtained in the determination of Vitamin E mass in tablet samples. Sample 1 2 3 4 5 6 Weight of Vitamin E (mg) 249.1 249.9 251.2 250.2 244.8 251.0 i. Determine whether any data should be rejected or not at 90 % confidence level. ii. Calculate the mean and standard deviation of the data set above. ii. Express the mean weight of vitamin C at 99 % confidence interval.
- 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.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?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%
- For the data set, calculate the mean, standard deviation, and variance. mean: \table[[Sample, Value ],[1,4.028], [2,4.011], [3, 4.013], [4, 4.029], [5, 4.017], [6, 4.012]] standard deviation: variance: Ⓒ Macmillan Learning mean: For the data set, calculate the mean, standard deviation, and variance. standard deviation: 3 variance: C Sample 1 2 3 4 5 6 Value 4.028 4.011 4.013 4.029 4.017 4.012Suppose a normally distributed set of data with 8900 observations has a mean of 123 and a standard deviation of 16. Use the 68-95-99.7 Rule to determine the number of observations in the data set expected to be above a value of 107. Round your answer to the nearest whole value. Hint: This problem is asking for how many observations not the percent. Answer Tip: Don't round any probabilities or percentages in your calculations. Keep all decimal places and round at the END of the problem.A. Determine the mean, standard deviation and %RSD for the following results determined for the mass of Barium cholride: 5.2g, 5.0g, 5.3g, 5.3g, 5.9g. B. Should any of the data points be discarded? Show calculations and explain how you determined this. C. If the true value for the mass is 5.5g, what is the percent error for your average mass?
- 3. A chemist used two different methods to measure the number of mg of Fe in five iron(II) sulfate supplement tablets. The results of each are shown below. 64.71mg Method 1: 65.03mg 61.55mg 64.9 mg 65.1 mg Method 2: 65.5 mg 66.1mg Calculate the average amount determined by each method as well as the standard deviation and RSD for each method. 63.07mg 65.4mg 67.15mg Which method gave more precise results? How do you know? Is it possible to know which method is more accurate? Why or why not?Calculate the mean and standard deviation. 4.10(+0.02) x 0.0050(+0.0001) 1.97(+0.04)9. The following are three sets of data for the atomic mass on antimony (Sb) from the work of Willard and McAlpine. Set 1 Set 2 Set 3 121.771 121.784 121.752 121.787 121.758 121.784 121.803 121.765 121.765 121.781 121.794 a) Determine the mean and standard deviation of each data set. b) Determine the 95% confidence intervals for each data set. c) Determine whether the 121.803 value in Set 1 is an outlier for that set. d) Pool the data and determine the overall mean and the pooled standard deviation. e) Compare the overall mean of the 11 data points with the currently accepted value. Report the absolute error and the percent relative error, assuming the currently accepted value is the true value.