setting the course "General Theory of Statistics" Threads 5, 7

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Uploaded: 06.03.2013
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Task 1.
From the party in an amount of 1 million. Pcs. small-caliber ammunition taken by random sampling to determine the range of a 1000 pieces. The test results are shown in the table below:
With a probability of 0.954, determine the average distance of the fight in the sample, sampling error, the possible limits of the medium-range battlefield for the entire party cartridges. How to change the error in determining the medium-range, if the confidence level is equal to 0.99?

Task 2.
Internal auditors checked the company's invoice processing system revenues. They took a random sample of size n1 = 50 complete accounts check them out. Four of them were faulty. The company has taken measures to reduce the number of billing errors. After a while the second was conducted random sample of size n2 = 60 completed accounts and three of them found defective. At the significance level of 0.05 find out whether you can assume that the error began to do less?
Note. In fact, the task should be to test the hypothesis of equality of the two sample means.

Task 3.
What firms need to check tax inspection area to the proportion of firms error, delayed payment of taxes, does not exceed 5%? According to the previous sampling fraction of these firms was 32%. Take confidence probability equal to 0.954.

Task 4.
The following data on the implementation of fruit retailers district. (Table)
Calculate the composite indexes:
a) turnover;
b) prices;
c) the physical volume of sales.
Determine the absolute value of the savings customers by lowering prices.
(Note that the table shows the turnover, not physical volume of sales.)

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