IDZ Ryabushko 19.1 Option 10

IDZ Ryabushko 19.1 Option 10

Solution of IDZ Ryabushko 19.1 - Option 10

Section: Chapter 19. Elements of Mathematical Statistics
Topic: Sample, histogram, empirical distribution function, hypothesis testing
Description: Construction of a variation series, histogram of relative frequencies, empirical distribution function; calculation of sample mean, variance, standard deviation; testing the hypothesis of normal distribution using Pearson´s criterion; construction of confidence intervals.

Tasks:
1. As a result of the experiment, data written as a statistical series are obtained. It is required: a) to write the experimental results as a variation series; b) to find the range of variation and divide it into a given number of intervals; c) to construct a frequency polygon, a histogram of relative frequencies and a graph of the empirical distribution function; d) to find the numerical characteristics of the sample x̄, DВ; e) taking the null hypothesis H₀ that the population from which the sample is drawn is normally distributed, test it using Pearson´s criterion at a given significance level α; f) to find confidence intervals for the mathematical expectation and standard deviation at a given confidence level γ.

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