IDZ 19.1 – Option 4. 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 processing, the following tasks must be completed:

a) Convert the statistical series into a variation series by writing down the values ​​of the experiment results.

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 and DB.

e) Test the null hypothesis H0 using the Pearson test at a significance level of α = 0.025. The null hypothesis is that the population from which the sample was drawn is normally distributed.

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

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IDZ 19.1 – Option 4. Solutions Ryabushko A.P. is a set of solutions to problems in mathematical statistics. It includes a detailed solution to the problem, designed in Microsoft Word 2003, which includes the following points:

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.

The solution uses a formula editor for a more visual and accurate presentation of mathematical calculations. The set of solutions is suitable for students and teachers involved in mathematical statistics and solving problems on this topic.

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