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Bca 3 sem advanced statistical methods 21100700 mar 2021
Bachelor of Computer Applications (BCA2020)
Mahatma Gandhi University
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QP CODE: 21100700 Reg No : .....................
Name : .....................
BCA DEGREE (CBCS)EXAMINATION, MARCH 2021
Third Semester
Bachelor of Computer Application
Complementary Course - ST3CMT32 - ADVANCED STATISTICAL METHODS
2017 Admission Onwards A659C9A Time: 3 Hours Max. Marks : 80 Part A Answer any ten questions. Each question carries 2 marks.
Write down the pdf of uniform distribution in (2,8)
What is the total area under a standard normal curve?
What are the conditions under which Binomial distribution tends to Normal distribution?
Define standard error.
How t tables are prepared?
What is the relation between Normal and a t variable?
Point out the estimate of population mean & variance when sampling from Normal population.
What is the moment estimator of population mean when sampling from Normal population?
What is the 90% C .I. for population mean in sampling from normal population.
Define large sample test.
Give an example of a non parametric test.
Write down the chi-square statistic for a 2x2 contingency table. (10×2=20) Part B Answer any six questions. Each question carries 5 marks.
Obtain the mean and variance of Bernoulli distribution.
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In a Binomial distribution consisting of 5 independent trials, first and second terms are 0 and 0 respectively. Find the parameter p.
A telephone exchange receives on an average 4 calls per minute. Find the probability that there will be 2 or less calls per minute.
Explain sampling distributions.
What are the properties of chi-square distribution?
Suggest any three unbiased estimator for population mean in Poisson population.
In a sample of 20 persons from a town 4 are suffering from TB a 95 % confidence interval for the proportion of TB patients in the town.
How will you go on for a hypothesia testing?
A stenographer claims that she can take dictation at the rate of more than 120 words per minute. Of the 12 tests given to her she could perform an average of 135 words with a SD of 40. Is her claim valid at 5% level. (6×5=30) Part C Answer any two questions. Each question carries 15 marks.
Define Normal distribution distribution of marks obtained by a group of students is normal with mean of 50 and SD 15. Estimate the proportion of students with marks (i) below 35(ii) between 45 and 55.
Define F statistic is its pdf two important uses of it in statistical analysis.
Obtain confidence interval for mean of a normal population when population SD is known.
A sample analysis of an examination result of 200 students were made .It was found that 46 students had failed ,68 secured III class,62 second class and the rest were placed in the first division .Are these figure commensurate with the general examination results which is in the ratio 2:3:3: for various categories respectively. (2×15=30)
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Bca 3 sem advanced statistical methods 21100700 mar 2021
Course: Bachelor of Computer Applications (BCA2020)
University: Mahatma Gandhi University
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