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Example A group of 200 students have the mean height of 154 cms. Another group of 300 students have the mean height of 152 cms. Can these be from the same population with S.D. of 5 cms?

Solution: Ho : m1 = m2, the samples are from the same population.

Ha : m1 ¹ m2, here = 154 cms, = 152 cms, s = 5 cms, n1 = 200 and n2 = 300.

Now,

i.e. the z-score is highly significant. Therefore, we reject Ho i.e. it is not likely that the two samples are from the same population.


Example Random samples from two population gave the following results :

 

Population A

Population B

Mean

490

500

S.D.

50

40

Size

300

300

Is the difference between the means significant?

Solution: Ho : m1 = m2, the difference between the two means is not significant. i.e. Ha : m1 ¹ m2.

We have = 490, = 500, s1 = 50, s2 = 40, n1 = 300 and n2 = 300.

      

Therefore, the null hypothesis Ho is accepted i.e. the difference between the two means is not significant.

Index

8.1 Population
8.2 Sample
8.3 Parameters and Statistic
8.4 Sampling Distribution
8.5 Sampling Error
8.6 Central Limit Theorem
8.7 Critical Region
8.8 Testing of Hypothesis
8.9 Errors in Tesitng of Hypothesis
8.10 Power o a Hypothesis Test
8.11 Sampling of Variables
8.12 Sampling of Attributes
8.13 Estimation
8.14 Testing the Difference Between Means
8.15 Test for Difference Between Proportions
8.16 Two Tailed and one Tailed Tests
8.17 Test of Significance for Small Samples
8.18 Students t-distribution
8.19 Distribution of 't' for Comparison of Two Samples Means Independent Samples
8.20 Testing Difference Between Mens of Two Samples Dependent Samples or Matched Paired Observations
8.21 Chi-Square
8.22 Sampling Theory of Correlation
8.23 Sampling Theory of Regression

Chapter 1





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