PDF notes of Student's t test in Hindi | PDF notes of t test distribution in hindi | classification of t test in hindi

Student's t test in Hindi | t test distribution in Hindi | classification of t test in Hindi

Working rule to solve t-test problem for one sample group:

Classification of t test for one sample group:

given a random sample data x1,x2,.......,xn from a normal population.

consider testing the hypothesis that the mean of the population is μ

for this test 

tcal=|(x ̅-μ)/(S/√n)| 

where  S is a standard deviation and defined as

S=√((∑(x-x ̅)〗^2 )/(n-1)) 

solve the of the following problem :

Q1.)The annual rainfall in Lucknow city in normally distributed with mean 45 cm.The rainfall during the last five years are 48 cm, 42 cm, 40 cm, 44 cm and 43 cm respectively. Can we concluded that the average rainfall during the rainfall last five years, is less than the normal rainfall. Test at 5% Level of significance. The tabulated value

 Q.2) 10 individuals are chosen at random from a population and their height are found to be inches 63,63,64,65,66,69,69,70,70 and 71. Discuss the suggestion that the mean height of universe is 65 for 9 degree of freedom t at.5% level of significance is 1.833.

Q.3)A sample of 20 items has mean 42 units and standard deviation 5 units. Test the hypothesis that it is a random sample from a normal population with mean 45 units. Given that t0.05=1.729

Q.4)A sample of 10 items has mean 25 units and standard deviation 10 units.Test the hypothesis that it is a random sample from a normal population with mean 30 units.

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t-test / student's t test for two sample groups

we are discussed basic concept of two sample group problem for t -test.

How to solve t test or student's t test problem for two group?

let X and Y be two groups having elements n1 and n2 

Q.1)Two independent samples of size 7 and 6 has the following values

Examine whether the samples have been drawn from normal papulation having same variance

Given that tabular value at 5% level of significance is 1.796 for 11 degree of freedom

Q.2)Two independent samples of size 7 and 9 has the following values

Sample A			10	12	10	13	14	11	10
Sample B			10	13	15	12	10	14	11	12	11
		Test whether the difference between the mean is significant.

Given that tabular value at 5% level of significance is 1.761 for 14 degree of freedom