# Statistics, option 2 (University)

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21 pages

Examination №1
Point and interval estimation. The criterion of consent. Hypothesis Testing
Variant №2
1. For the quantitative variables, point estimates to build the mean, variance, standard deviation (the calculations carried out for the entire sample, as well as separately for groups of boys and girls).
2. Build confidence interval (confidence level γ) for the average value of quantitative variables, suggesting that the normal values \u200b\u200bbelong to the general population.
3. For the quantitative variables to test the hypothesis of a distribution (compare with the normal distribution, significance level 0.05).
4. For the variable "age" to test the hypothesis supplies two unrelated samples (groups of girls and boys) the same general population.
5. Check the hypothesis of two related samples supplies the same general population (meaning "before" and "after" treatment).
The calculation interval is performed with a confidence level γ = 0.91.
Number Age Sex Blood Zinc Zinc pretreatment levels after treatment
1 1.5 3.99 11.1 wives
2 2.08 3.68 13.3 wives
3 2.07 4.23 9.9 wives
4 7.4 1.58 4.04 husband
5 2.3 3.1 12.1 husband
6 2.1 2.7 12.8 husband
7 8.7 4.2 3.9 husband
8 4.04 3.75 11.1 wives
9 1.8 2.7 12.2 husband
10 14.8 2.8 3.9 husband
11 14.4 7.7 6.8 husband
December 13 2.3 4.1 husband
13 14,8 3,3 4,7 husband
14 2.74 3.96 13.1 husband
15 8.1 3.4 5.3 wives
16 2 6.3 11.7 husband
17 October husband 4.7 4.1
18 October husband 5.34 3.78
19 14.3 2.96 5.6 husband
October 20 wives 2.1 5.3

Examination №2
Regression and correlation analysis. Contingency tables
Variant №2
In setting 1 it is necessary to carry out the correlation and regression analysis to determine the strength of the link parameters to test the hypothesis on the significance of the correlation coefficient, a regression (analytical and graphical view), to test the hypothesis on the significance of the regression coefficient. As is assumed that the data follow a normal distribution, the significance level is 0.05.
The task 2 is necessary to analyze contingency, determine the strength of communication features to test the hypothesis about the importance of this connection. As is assumed that the significance level of 0.05.
The table shows the results of an experiment in which explored the relationship between the absorbed dose and the proportion of aberrant bone marrow cells in experimental animals. Determine the nature of the relationship between performance and build regression dependence of aberrant cells from absorbing the radiation dose.
Caries prevalence surveyed (in%) Number of fluoride in drinking water (mg)
94.2 0.1
94.5 0.1
97.5 0.15
93.3 0.15
94.7 0.15
94 0.2
93.1 0.2
90.4 0.25
95.1 0.25
88.2 0.3
87.6 0.35
85.3 0.4
83.4 0.5
83.3 0.6
88.2 0.3
94.2 0.1
94.5 0.1
97.5 0.15