IDZ 19.1 – Option 5. Solutions Ryabushko A.P.

As a result of the experiment, data was obtained that was recorded in the form of a statistical series. For further analysis, the following tasks must be completed:

a) Write down the values ​​of the experiment results in the form of a variation series; b) Find the range of variation and divide it into 9 intervals; c) Construct a frequency polygon, a histogram of relative frequencies and a graph of the empirical distribution function; d) Find the numerical characteristics of the sample x, DB; e) Test the null hypothesis H0: the population from which the sample was drawn has a normal distribution, using the Pearson test at a significance level of α = 0.025; f) Find confidence intervals for the mathematical expectation and standard deviation with a reliability of γ = 0.9.

To solve these problems, it is necessary to carry out appropriate calculations and data analysis. The results of the analysis can be used to make decisions based on the data obtained.

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IDZ 19.1 – Option 5. Solutions Ryabushko A.P. is a digital product containing solutions to statistical problems. This product provides a detailed solution to tasks that require the following tasks:

a) write down the values ​​of the experiment results in the form of a variation series;

b) find the range of variation and divide it into 9 intervals;

c) construct a frequency polygon, a histogram of relative frequencies and a graph of the empirical distribution function;

d) find the numerical characteristics of the sample x, DB;

e) accepting H0 as the null hypothesis: the population from which the sample was drawn has a normal distribution, test it using the Pearson test at a significance level of α = 0.025;

f) find confidence intervals for the mathematical expectation and standard deviation with a reliability of γ = 0.9.

Solutions are presented in Microsoft Word 2003 format using the formula editor. Beautiful design in html format makes using this product more convenient and attractive for users. All solutions are presented in a clear and easily accessible form, which allows you to quickly familiarize yourself with the material and gain the necessary knowledge.

Purchasing this digital product is an excellent choice for students and anyone interested in effectively completing homework in the relevant discipline.

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IDZ 19.1 – Option 5. Solutions Ryabushko A.P. is a description of solving problems related to the processing of statistical data. The task requires the following steps:

a) Write down the values ​​of the experimental results in the form of a variation series. A variation series is a sequence of ordered sample values.

b) Find the range of variation and divide it into 9 intervals. The range of variation is the difference between the maximum and minimum sample values. Intervals are needed to construct a histogram and a frequency polygon.

c) Construct a frequency polygon, a histogram of relative frequencies and a graph of the empirical distribution function. Frequency polygon and relative frequency histogram are ways of visualizing the distribution of a sample. An empirical distribution function graph is a graph that shows what proportion of the sample values ​​are values ​​less than or equal to a given value.

d) Find the numerical characteristics of the sample x, DB. Numerical characteristics of a sample are indicators that describe its distribution. The mean (x) and variance (DB) are the main characteristics of a sample.

e) Taking H0 as the null hypothesis: general

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