TAMIL NADU STATE BOARD CLASS 12 STATISTICS 2026

When the alternative hypothesis is $H_1 : \mu \ne \mu_0$, the critical region will be determined by :

What is level of significance ?

If $n$ is the degree of freedom of chi-square distribution then its variance is :

In two-way classification the total variation TSS =

F-statistic is the ratio of two Independent sample __________.

If $\Sigma D^2 = 0$, rank correlation is :

If $r=0$ then $\operatorname{cov}(x,y)$ is :

__________ is the Father of mental tests.

The regression lines intersect at :

The condition for the circular test to hold good with usual notation is :

The consumer price index in 2000 increases by 80% as compared to the base 1990. A person getting Rs. 60,000 per annum in 1990 should now (in 2000) get :

Cyclical movements are due to :

The first Economic census was conducted in __________.

NSSO publishes the bi-annual journal :

Qualitative data implies :

The mean breaking strength of cables supplied by a manufacturer is 1900 n/m² with a Standard Deviation of 120 n/m². The manufacturer introduced a new technique in the manufacturing process and claimed that the breaking strength of the cables has increased. In order to test the claim, a sample of 60 cables is tested. It is found that the mean breaking strength of the sampled cables is 1960 n/m². Can we support the claim at 1% level of significance?

The number of pages typed by 5 DTP-Operators for 1 hour in the morning sessions are 10, 12, 13, 8, 9 and the number of pages typed by them for 1 hour in the afternoon are 11, 15, 12, 10, 8. Is there any significant difference in the mean number of pages typed?

Three different techniques namely medication, exercises and special diet are randomly assigned to individuals diagnosed with high blood pressure to lower the blood pressure. After four weeks the reduction in each person's blood pressure is recorded. Test at 5% level, whether there is significant difference in mean reduction of blood pressure among the three techniques. Medication 10 12 9 15 13 Exercise 6 8 3 0 2 Special Diet 5 9 12 8 4

The following table gives quarterly expenditure over a number of years. Obtain seasonal indices for the data. Year Season I 78 84 92 100 II 62 64 70 81 III 56 61 63 72 IV 71 82 83 96 2000 2001 2002 2003

Find the linear regression equation of percentage of worms (Y) on size of the crop (X) based on the following seven observations. Size of the crop (X) 16 15 11 27 39 22 20 Percentage of worms (Y) 24 25 34 40 35 20 23

Number of deaths recorded in various age groups in two areas and the population size in each age group are given in the following table. Population No. of Deaths Population No. of Deaths 0-10 3000 55 7500 300 10-25 4500 30 6000 50 25-45 6000 40 8000 40 45 and over 1000 15 2000 64 Area-I Area-II Age Group (in years) Find the crude death rates and age specific death rates of Area I and Area II.

A survey was conducted with 500 female students of which 60% were intelligent, 40% had uneducated fathers, while 30% of the not intelligent female students had educated fathers. Test the hypothesis that the education of fathers and intelligence of female students are independent.

Construct the price indices from the following data by applying (1) Laspeyre's method (2) Paasche's method and (3) Fisher ideal number by taking 2010 as the base year. Price (`) Quantity Price (`) Quantity A 15 15 22 12 B 20 5 27 4 C 4 10 7 5 2010 2011 Commodity

Construct the price indices from the following data by applying (1) Laspeyre's method (2) Paasche's method and (3) Fisher ideal number by taking 2010 as the base year.

Following data gives the yield of wheat in India for the years 2010-11 to 2019-20. Find the trend values using 3-year moving averages. Year 2010-11 2011-12 2012-13 2013-14 2014-15 2015-16 2016-17 2017-18 2018-19 2019-20 Yield (kg/hectare) 626 734 535 727 652 715 756 860 909 798

Calculate the Spearman's rank correlation coefficient for the following data. Marks in Statistics 82 70 95 60 55 Marks in Economics 65 72 45 33 84