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Sachin Kaushal, Lovely Professional University Unit 32: Hypothesis Concerning Standard Deviation

Unit 32: Hypothesis Concerning Standard Deviation Notes

CONTENTS

Objectives
Introduction
32.1 Test of Hypothesis Concerning Population Standard Deviation (n 30)
32.2 Test of Hypothesis Concerning Population Standard Deviation (Large Sample)

32.3 Test of Hypothesis Concerning the Equality of Standard Deviations (Small Samples)
32.4 Test of Hypothesis Concerning Equality of Standard Deviations (large samples)
32.5 Summary
32.6 Keywords

32.7 Self Assessment
32.8 Review Questions
32.9 Further Readings

Objectives

After studying this unit, you will be able to:
 Discuss Hypothesis concerning population standard deviation (n  30)
 Describe Hypothesis concerning population for large sample.

Introduction

In last unit you have studied about hypothesis testing. In this unit you will be studying about
hypothesis concerning standard deviation.
These tests can be divided into two broad categories depending upon whether the size of the
sample is large or small.

32.1 Test of Hypothesis Concerning Population Standard Deviation
(n  30)

å (X - X ) 2 nS 2 2
i
Refer to § 20.4.1, the statistic 2 or 2 is a c - variate with (n - 1) degrees of freedom.
s s
2 nS 2 c 2
Under H : s = s (or s = s ), would be a - variate with (n - 1) degrees of freedom.
2
0 0 0 2
s 0

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