TSU Theory Statistics Option 7 TSU

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Theory of Statistics TSU Option 7
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Theory of Statistics TSU Option 7

CHALLENGE 1

As a result of 5% of the sample survey (random, bes¬povtornaya sample) farms an area yielded the following data:

Number
The yield on the farm cows for 1 year
c. Feed consumption per 1 cow
for the year,
c. feeding units
1 33 40
2 32 38
3 35 39
28 April 43
5 39 41
6 45 44
7 35 40
8 32 38
9 36 39
10 35 39
11 40 42
12 43 42
13 44 43
14 43 43
15 44 43
16 40 40
17 37 40
18 34 37
19 36 37
20 39 41
21 35 40
22 37 40
23 38 41
24 40 41
25 45 41

A statistical analysis of the data. For this purpose:

I.
1. Build a statistical distribution series of farms for udoyu 1 cow per year, forming 4 groups with equal intervals. Plot number distribution.

2. Calculate the number of characteristics of the distribution of farms by udoyu 1 cow per year: the arithmetic mean, the average linear deviation, standard deviation, variance, coefficient of variation. In calculating the average arifme¬ticheskoy and standard deviation using the method of moments.
Draw conclusions.

II.
1. With a probability of 0.954, determine the sampling error sredne¬go milking 1 cow per year and the boundaries within which will be an average milk yield per cow of 1 year in the total population.
2. With a probability of 0.954, determine the proportion of error farms whose milk yield from one cow per year more than 40 quintals of milk, and the border, which will be the proportion in the population.
Draw conclusions.

III.
1. The method of analysis groups set harak¬ter relationship between feed consumption per 1 cow for a year and a yield of 1 cow per year. The results are formalized in the table. Draw conclusions.
2. Measure the closeness of correlation between the flow rate of feed 1 cow and cow milk yield of 1 per year kor¬relyatsionnym empirical attitude. Explain its meaning.
3. Calculate the parameters of a linear equation of the relationship between feed consumption per 1 cow and cow milk yield of 1 year. Explain the meaning of the regression coefficient.
4. Calculate the theoretical correlation ratio, explain its meaning.
5. Compare the results of the analysis due by analytical grup¬pirovki and regression-correlation method.
Draw conclusions.