Variances-population means and paired

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Reference no: EM1315469

Hypothesis testing for difference between variances, population means and paired.

Five samples of a ferrous-type substance are to be used to determine if there is a difference between a laboratory chemical analyses and X-ray fluorescent analysis of the iron content. Each sample was split into two subsamples and the two types were applied. Following are the coded data showing the iron content analysis.

Sample
Analysis	1	2	3	4	5
X-ray (B)	2.0	2.0	2.3	2.1	2.4
Chemical (A)	2.2	1.9	2.5	2.3	2.4

Assuming the measurement system has a normal distribution, test thetwo-sided test of hypothesis for
a) H₀: σ_A² = σ_B² at α =0.05,

b) H₀: μ_B-μ_A= 28% at α =0.1

c) Suppose it is desired to test the hypothesis that the differences rather than the individual measurement are of importance, (that is D=B-A, that is: μ_D= μ_B-μ_A), then let:

H₀: μ_D=10%,
H₁: μ_D < 10%

Test the hypothesis. Will you reject or not reject the null hypothesis at α = 0.05

Reference no: EM1315469

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