What is a 99% confidence interval uncertainty of the slope when we are given a trendline with a slope of 42.211 and an R² value of 0.9991 for a set of 145 data points?
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- What is the meaning of a confidence interval?A sample is selected from a population with µ = 46, and a treatment is administered to the sample. After treatment, the sample mean is M = 48 with a sample variance of s2 = 16. Based on this information, what is the value of Cohen’s d?Do I use the 2.9 as reference for my anserw?
- In the technique of high performance liquid chromatography (HPLC) the peak area response for a particular analyte is directly proportional to concentration Analgesic tablets typically consist of aspirin and caffeine as the active ingredients, the remainder made up of inert binding material. The concentrations of aspirin and caffeine may be routinely monitored using HPLC, whereby the peak areas obtained from a solution of the tablet are compared with those obtained from standard solutions of the analytes. In an analysis to determine the concentration of caffeine in such a tablet, the following data were recorded: Solutions Analysed: Tablet Sample: Mass of tablet (dissolved in 250 cm methano): 0.523 g Caffeine Standard: Mass of caffeine (diessolved in 500 cm methanol) 0.105 g HPLC results: Solution Peak Area (catfeine) 1. Tablet Sample 325 2. Caffeine Std. 865 The concentration of caffeine in the tablet (expressed as a mass (w/wl percentage) was Oa 1.89 Ob 13.4 O 3.77 Od. 267 Oe 7.54 You…In a survey of 1000 large corporations, 250 said that, given a choice between a job candidate who smokes and an equally qualified nonsmoker, the nonsmoker would get the job (USA Today).(a) Let p represent the proportion of all corporations preferring a nonsmoking candidate. Find a point estimate for p.(b) Find a 0.95 confidence interval for p.(c) As a news writer, how would you report the survey results regarding the proportion of corporations that hire the equally qualified nonsmoker? What is the margin of error based on a 95% confidence interval?Student 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.
- 1. The table below shows average temperatures recorded over a five-day period last winter (a) Calculate the mean values, X, of these temperatures (b) Calculate the standard deviation of the average temperatures . Clearly show all your calculations (c) Find confidence interval at 90% and 99% Days Temperature (°C) 21 2 23 17 25 12 6. 19What is the median of the values 7.79, 8.24, 5.81, 4.97, 1.04, 7.39, and 7.22?7. From the normal curve of error, find the probability that a result is outside the limits of ±2σ from the mean. What is the probability that a result has a more negative deviation from the mean than -2σ?
- Alveoli are tiny sacs of air in the lungs. Their average diameter is 5.0 x 10-5 Approximate the minimum uncertainty in the velocity of an oxygen molecule (5.3x -26 kg) trapped within a sac. m. 10For the numbers 116.0, 97.9, 114.2, 106.8 and 108.3, find the range and 90% confidence interval for the mean.Q3)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.