32 pages

PROBLEM 1. Annex 1 presents data on revenue (net) from sales of goods, works and services (without VAT, excise duties and similar payments) of small businesses one of the sectors of the regional economy.
Using a table of random numbers (see Table given in Annex 2), form an array of random numbers and make 30 percent simple random sample of repetition-free.
According to selective data:
Build a number of interval distribution, forming five groups at regular intervals;
the sum of the average amount of revenue from the sale of goods, products, works and services of one company, and the share of small enterprises with the amount of revenue exceeding 25 million rubles .;
with a probability of 0.954, determine confidence intervals, which can be expected general parameters: a) the average amount of revenue from the sale of goods, products, works and services of the enterprise; b) the share of small enterprises with the amount of revenue exceeding 25 million rubles .; c) the total amount of proceeds from the sale of goods, products, works and services of small businesses in the region; d) the number of enterprises with the amount of revenue more than 25 million rubles.
Confirm the validity of the estimates, the calculation of general characteristics.
Draw conclusions.

GOAL 2. Using the database of the Federal State Statistics Service (remote access mode http://www.fsgs.ru), based on the dynamic (interactive) tables posted on this site Rosstat tab "Russia in Figures", build a time series for the last 8-10 years on any of your interesting indicators. Analyze the data. For this:
1) determine all possible chain, basic analysis and the average number of speakers;
2) make a smoothing of levels of time series methods of integration intervals, moving average, as well as analytical alignment (the interval between consolidation and sliding define yourself).
Draw conclusions.

GOAL 3. There is evidence of the index of consumer prices (tariffs) for goods and paid services to the population in the Russian Federation for 2006 (in% to the previous month) (see. Table).
Month All goods and services from them
Food-WIDE
products products Non-governmental
Items paid services to the population
January 101.8 101.6 100.5 104.1
February 101.0 101.1 100.4 101.6
March 100.8 101.1 100.4 100.6
April 101.0 100.8 100.6 102.0
May 100.7 100.4 100.8 101.4
June 100.8 100.8 100.7 100.9
July 100.9 101.0 100.6 101.3
August 100.4 100.1 100.5 101.0
September 100.4 100.0 100.9 100.6
October 101.1 101.4 100.7 101.2
November 101.1 101.5 100.7 100.8
December 101.1 101.7 100.4 101.0
Define:
1) How did the consumer prices of goods and paid services to the population in the first and second half of the year, and the year as a whole;
2) in the reporting period to change the prices for each group of goods and services paid an average monthly;
3) How has the purchasing power of the national currency for the year as a whole.
Draw conclusions.

OBJECTIVE 4. By region there is evidence of non-financial produced tangible assets, billion rubles .:
fixed assets accounting for the full amount at the beginning of the year ... .. 300
depreciation of fixed assets at the beginning of the year .................. 35%
introduced new fixed assets for the year .................................. 50
retired fixed assets for the full book value ......... ... 30
the residual value of disposed fixed assets ............ ... 45%
the amount of depreciation for the year ....................................... .. 25
Define:
1) the total carrying value of fixed assets at the end of the year;
2) The residual carrying value of fixed assets at the beginning and end of the year;
3) the coefficients life of fixed assets at the beginning and end of the year;
4) coefficient of depreciation of fixed assets at the year end;
5) renovation and replacement ra