Q1
mcq
1 mark
Standard error of the sample mean is :
- A. n σ
- B. σ2
- C. n σ
- D. n σ
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Q2
mcq
1 mark
Rejecting H0, when it is true is called :
- A. sampling error
- B. type I error
- C. standard error
- D. type II error
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Q3
mcq
1 mark
The degrees of freedom of the chi-square test statistic for the contingency of order 5×4 :
- A. 12
- B. 18
- C. 25
- D. 17
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Q4
mcq
1 mark
In two-way classification TSS=
- A. SST1SSB−SSE
- B. SST1SSB1SSE
- C. SST1SSB
- D. SST−SSB1SSE
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Q5
mcq
1 mark
If ΣD2=0, then rank correlation is :
- A. 0.5
- C. −1
- D. 1
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Q6
mcq
1 mark
If bXY=0.7 and ‘a’=8 then the regression equation of X on Y is :
- A. Y=0.718X
- B. Y=810.7X
- C. X=0.718Y
- D. X=810.7Y
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Q7
mcq
1 mark
If the two lines of regression are perpendicular to each other, then rXY =
- A. −1
- C. 2
- D. 11
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Q8
mcq
1 mark
In simple aggregate method, the aggregate price of all items in the given year is expressed as percentage of the same in the :
- A. Quarterly
- B. Current year
- C. Half-yearly
- D. Base year
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Q9
mcq
1 mark
Data of annual turnover of a company over a period of ten years can be represented by :
- A. a parameter
- B. a time series
- C. a statistic
- D. index numbers
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Q10
mcq
1 mark
Business forecast is made on the basis of :
- A. tax regulations
- B. future data
- C. Government policies
- D. past data
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Q11
mcq
1 mark
Compulsory registration of births and deaths was impl emented in India, during the year :
- A. 1969
- B. 1947
- C. 1970
- D. 1951
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Q12
mcq
1 mark
The first Honorary Statistical Advisor to Government of India is :
- A. C. Rangarajan
- B. P.C. Mahalanobis
- C. Dr. Francis Buchanan
- D. Col. Sykes
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Q13
mcq
1 mark
Qualitative data implies :
- A. Non-Measurable
- B. Partly Measurable
- C. Measurable
- D. All of the above
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Q14
mcq
1 mark
In ANOVA, the sample observations are :
- A. equal
- B. dependent
- C. unequal
- D. independent
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Q15
mcq
1 mark
F-test is also called as __________.
- A. Variance test
- B. Mean ratio test
- C. Standard deviation ratio test
- D. Variance ratio test
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Q16
short answer
2 marks
Define sample space in Statistics.
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Q19
short answer
2 marks
Write the definition of correlation by A.M. Tuttle.
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Q20
short answer
2 marks
Write the two simple linear regression equations.
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Q22
short answer
2 marks
Name the methods of estimating the trend.
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Q23
short answer
2 marks
Define population or target group under study.
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Q24
short answer
2 marks
The number of live births recorded and the number of Infants died in a town during a given period are 500 and 75 respectively. Calculate the Infant mortality rate of the town.
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Q25
short answer
3 marks
Explain one-tailed and two-tailed tests.
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Q26
short answer
3 marks
Write short note on testing the significance of goodness of fit.
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Q27
short answer
3 marks
Write the model ANOVA table for one-way classification.
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Q28
short answer
3 marks
Test the consistency of the following data with the symbols having their usual meaning. N=1000, (A)=600, (B)=500, (AB)=50.
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Q29
short answer
3 marks
Write the regression equation of X on Y and its normal equations.
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Q30
short answer
3 marks
There were 15,000 persons living in a village during a period and the number of persons died during the same period was 98. Find the crude death rate ?
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Q31
short answer
3 marks
Calculate the trend values using semi-average method for the income from the forest department.
Year 2008 2009 2010 2011 2012 2013
Income (in crores) 46.17 51.65 63.81 70.99 84.91 91.64
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Q32
short answer
3 marks
List the benefits derived by doing a project work.
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Q33
short answer
3 marks
Find the Dorbish Bowley’s Index and Fisher’s Ideal Index by using the following Index numbers. P=125, P=126.21
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Q35
long answer
5 marks
A company producing LED bulbs finds that mean life span of the population of its bulbs is 2000 hours with a standard derivation of 150 hours. A sample of 100 bulbs randomly chosen is found to have the mean life span of 1950 hours. Test at 5% level of significance, whether the mean life span of the bulbs is significantly different from 2000 hours.
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Q36
long answer
5 marks
Explain the general procedures to be followed for testing of hypotheses.
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Q37
long answer
5 marks
Three different Techniques namely medication, exercises and special diet are randomly assigned to lower the blood pressure of patients.
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Q38
long answer
Three different Techniques namely medication, exercises and special diet are randomly assigned to lower the blood pressure of individuals diagnosed with high blood pressure. After four weeks the reduction in each person’s blood pressure is tested and recorded and is given below. Test at 5% level, whether there is any significant difference in mean reduction of blood pressure among the three techniques.
Medication: 10 12 9 15 13
Exercise: 6 8 3 0 2
Diet: 5 9 12 8 4
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Q39
long answer
Calculate the Karl Pearson’s coefficient of correlation for the following data and interpret.
x: 9 8 7 6 5 4 3 2 1
y: 15 16 14 13 11 12 10 8 9
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Q40
long answer
Mean S.D.
Yield of wheat (kg/unit area) 10 8
Annual Rainfall (cm) 8 2
Correlation Co-efficient: 0.5.
Find the yield when rainfall is 9 cm
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Q41
long answer
The weight (in kg) of 8 students of class VII are 38, 42, 43, 50, 48, 45, 52 and 50. Test the hypothesis that the variance of the population is 48 kg, assuming that the population is normal and $\mu$ is unknown.
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Q42
long answer
Calculate (1) Laspeyre’s Index (2) Paasche’s Index (3) Marshall-Edgeworth Index and (4) Fisher Ideal Index for the following data taking 2014 as base year.
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Q43
long answer
Fit a straight line trend by the method of least squares for the following consumer price index numbers of the industrial workers.
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Q44
long answer
The following table shows the area covered for cultivation of Ragi in Tamil Nadu (in '000 hectares). Find the trend values using semi averages method.
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Q45
long answer
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. Find the crude death rate and age specific death rate of Area I and Area II.
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