IDZ 19.1 – Option 2. 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.

We present to your attention a digital product - “IDZ 19.1 – Option 2. Solutions by Ryabushko A.P.” This product contains solutions to tasks from Individual Homework No. 19.1, option 2, which were completed by A.P. Ryabushko.

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IDZ 19.1 – Option 2. Solutions Ryabushko A.P. is a set of tasks on mathematical statistics. The kit includes solutions to problems related to the processing of statistical data.

The task requires the following steps:

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

Solutions to problems are prepared in Microsoft Word 2003 using the formula editor. The set of tasks is intended for students and teachers studying mathematical statistics and conducting practical classes on processing statistical data.

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