IDZ 19.1 – Option 9. 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 experimental 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 the problems, it is necessary to conduct appropriate data analysis and use appropriate methods of mathematical statistics.

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In this product you will find solutions to problems according to option 9 from the textbook "IDZ 19.1". The solutions were prepared by an experienced teacher of mathematical statistics A.P. Ryabushko. and will help you better understand the material and successfully cope with difficult tasks.

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"IDZ 19.1 – Option 9. Decisions of Ryabushko A.P." - this is a digital product that represents solutions to problems according to option 9 from the textbook "IDZ 19.1". The solutions were carried out by an experienced teacher of mathematical statistics A.P. Ryabushko. and are designed in a beautiful HTML format for ease of use.

This product provides solutions to the following problems:

a) Recording the values ​​of the experimental results in the form of a variation series;

b) Finding the range of variation and dividing it into 9 intervals;

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

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

e) Testing 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) Finding confidence intervals for the mathematical expectation and standard deviation with a reliability of γ = 0.9.

This product is an excellent resource for students and teachers studying the discipline "IDD" or solving problems in mathematical statistics. Solving problems will help you better understand the material and successfully cope with difficult tasks.

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IDZ 19.1 – Option 9. Solutions Ryabushko A.P. is a document containing a detailed solution to a problem in mathematical statistics. The task requires recording the values ​​of the experimental results in the form of a variation series, finding the range of variation and dividing it into 9 intervals, constructing a frequency polygon, a histogram of relative frequencies and a graph of the empirical distribution function, finding the numerical characteristics of the sample x, DB. The task also asks to test the hypothesis H0: the population from which the sample is drawn has a normal distribution, using the Pearson criterion at a significance level of α = 0.025, and to find confidence intervals for the mathematical expectation and standard deviation with a reliability of γ = 0.9. The entire text of the solution is formatted in Microsoft Word 2003 using the formula editor.

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