Página inicial
/
Matemática
/
a) define the following terms: i. matrix outlier (2 marks) b) outline the steps involved during chemical analysis. (5 marks) c) state

Question

a) Define the following terms: i. Matrix Outlier (2 marks) b) Outline the steps involved during chemical analysis. (5 marks) c) State two ways in which a determinate error might occur while using a pipet to transfer a known volume of liquid. (2 marks) d) Using the following data, 85.10,8462. 84.65.8470 calculate the: i. Mean, median, range standard deviation and variance. (6 marks) ii. Calculate the 90% confidence interval inbout the mean. What does this confidence interval mean? a) Touch the bag computer for his mother yesterday? (3 marks)

Solution

Verificación de expertos
4.7 (357 Votos)
Margot Elite · Tutor por 8 anos

Resposta

a) Definitions:i. Matrix: A matrix is a rectangular array of numbers or symbols arranged in rows and columns. It is used to represent and manipulate data in various mathematical and scientific applications.ii. Outlier: An outlier is a data point that significantly differs from other observations in a dataset. It is an unusual or extreme value that deviates from the overall pattern or distribution of the data.b) Steps involved during chemical analysis:1. Sample preparation: The sample is collected and prepared for analysis. This may involve grinding, dissolving, or diluting the sample to obtain a homogeneous mixture.2. Instrument calibration: The analytical instrument used for the analysis is calibrated to ensure accuracy and precision. This involves adjusting the instrument to zero and calibrating it using standard reference materials.3. Measurement: The sample is then placed in the instrument, and the measurement is taken. This may involve setting the instrument parameters, such as temperature, pressure, or flow rate, depending on the specific analysis being performed.4. Data collection: The instrument collects data, which is typically recorded in digital form. This data may include measurements of various parameters, such as concentration, absorbance, or conductivity.5. Data analysis: The collected data is analyzed to extract meaningful information. This may involve calculating statistical measures, such as the mean, median, or standard deviation, or using more advanced techniques like regression analysis or statistical modeling.6. Interpretation and reporting: The results of the analysis are interpreted, and a report is generated to present the findings. This report may include a summary of the methodology, data analysis, and conclusions drawn from the results.c) Two ways in which a determinate error might occur while using a pipet to transfer a known volume of liquid:1. Human error: The person using the pipet may make a mistake while measuring or transferring the liquid. This could occur if the person misreads the volume markings on the pipet or makes an incorrect adjustment to the pipet's volume.2. Instrumental error: The pipet itself may have a defect or malfunction that affects its accuracy. For example, the pipet may have a leak or a faulty tip that causes the liquid to be transferred inaccurately.d) Calculations:i. Mean, median, range, standard deviation, and variance:- Mean: The mean is the average of the data points. It is calculated by adding up all the values and dividing by the total number of values.- Median: The median is the middle value when the data points are arranged in ascending or descending order. If there is an even number of data points, the median is the average of the two middle values.- Range: The range is the difference between the highest and lowest values in the dataset.- Standard deviation: The standard deviation measures the dispersion or spread of the data points around the mean. It is calculated by finding the square root of the variance.- Variance: The variance measures the average squared deviation of each data point from the mean. It is calculated by finding the average of the squared differences between each data point and the mean.ii. confidence interval:- The confidence interval is a range of values that is calculated to estimate the true population mean. It is calculated using the formula: mean ± (t-value * standard deviation / √n), where n is the number of data points. The t-value is a value from the t-distribution table that corresponds to the desired level of confidence (in this case, ). The confidence interval provides a range of plausible values for the true population mean, with a certain level of confidence (in this case, ).c) Touch the bag computer for his mother yesterday?- This question seems to be incomplete or unclear. It is not possible to provide a meaningful answer without further context or clarification.