In this set of data 116.0, 97.9, 114.2, 106.8, 109.2, 116.0, and 108.3, find the mean, median, mode, respectively? 109.77, 116.00, 109.20 O 109.77, 106.80, 116.00 O 109.77, 109.20, 116.00 O 109.20, 109.77, 116.00
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- From the Gaussian (normal) error curve, what is the probability that a result from a population lies between 0 and +1 σ of the mean? What is the probability of a result occurring that is between +1 σ and +2σ of the mean?You have the following data points which belong to a function of the form y = ae, where b can be positive or negative. ม 13.7 29.6 34.6 x 2.00 4.00 5.00 You wish to determine the value of the constant, b, and to do so you will construct a linear plot. What will you plot against what? y-axis label: x-axis label: From the values of x and y in the table above, calculate the values of the three corresponding data points. Click on the graph below, and use the "Freeform Curves" tool to plot the data. Line segments will automatically connect the points. Enter Solution. What is the numerical value of the constant, b?The contents of similar containers of sulfuric acid are 9.8, 10.2, 10.4, 9.8, 10.0, 10.2, and 9.6 liters. Find a 95% confidence interval for the mean of all such containers, assuming an approximate normal distribution. Use t = 2.447 9.74 10.26 9.74> μ μ> 10.26 O wwxx O xwww 9.74 <μ <-10.26
- y" 3y 18y = sin(8) = y(0) 3, y'(0) = -1 Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for Y(s) =The ages of a group of 122 randomly selected adult females have a standard deviation of 18.5 years Assume that the ages of female statistics students have less variation than ages of females in the general population, so let o = 18 5 years for the sample size caloulation How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want 95% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? The required sample size is (Round up to the nearest whole number as needed)O J. nm 1 O J. m-1 OJ-I.nm Evaluate Correct! 4) Other Linearization Choices 0/2 points When using x =1/A, the meaning of the slope is hc. There is more than one way to make this data linear, though. For example, instead of choosing x 1/A, you could also choose x = c/A. What would the slope mean in this case? Note that in reality, your choices of variables may be limited by the goals of your experiment, the data available, and the model to which you are fitting your data. Evaluate Incorrect: You're looking for an algebraic representation. If this question had asked the meaning of the slope when y = E and a = 1/A, you would have answered hc. 5) Planck's constant 16 point Other than aesthetics, why would it be useful to fit data with a straight line? Real data is noisy. Often with noisy data, the trend will be more accurate than using a single point. c auantired a crucial understanding in the dexelonment of guantum mechanics. The equation is
- 2. As the director of a research laboratory you are paid to decide if there is a significant difference between the mean values of two sets of data obtained by two different scientists, a senior scientist and one recently hired. Use 95% CL. (t at df = 10 is 2.23) Data of Senior Scientist: Xmean = 24.66% with s = 0.06% for n = 5 Data of the New Kid: xmean = 24.55% with s = 0.10% for n = 72. As the director of a research laboratory you are paid to decide if there is a significant difference between the mean values of two sets of data obtained by two different scientists, a senior scientist and one recently hired. Use 95% CL. (t at df = 10 is 2.23) Data of Senior Scientist: xmoan = 24.66% with s = 0.06% for n = 5 Data of the New Kid: xmean = 24.55% with s = 0.10% for n = 7Q3)a) Discuss the any two applications of Beer’s law with suitable justification. (b) In an analytical laboratory a chemical compound namely Paracetamol (151.163 g/mol) is determined in a sample. A sample weighing 0.0295 g was dissolved in a solvent and diluted the solution to 1 L. The solution has λ max at 243 nm (ε=2.6×104 cm-1 mol-1 L). The solution exhibits an absorbance of 0.638 in a 2 cm cell. Calculate the percentage paracetamol in the sample. (c) Analyze any two causes of non-linearity of curve in the Beer’s law.
- Which of the following compounds has the shortest Xmax? O II OI ||| CONV III IVStudent Discipline Problems The data for a random sample of 32 months for the number of discipline problems that occurred each month at a large high school are shown. Find the 99% confidence interval for the mean when σ 3. Round your answers to one decimal place. = 13 19 10 11 14 25 16 27 22 29 23 29 28 17 17 22 28 26 29 20 22 18 14 215 16 27 17 14 17 110 11 20 19 22 Send data to Excel We are 99% confident that the mean is between 15.1 and 17.8 discipline problems per month.Calculate the answers using q = mCΔT