Reference no: EM1315469
Hypothesis testing for difference between variances, population means and paired.
Five samples of a ferroustype substance are to be used to determine if there is a difference between a laboratory chemical analyses and Xray 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

Xray (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 thetwosided test of hypothesis for
a) H_{0}: σ_{A}^{2} = σ_{B}^{2} at α =0.05,
b) H_{0}: 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=BA, that is: μ_{D}_{ }= μ_{B}_{ }μ_{A}), then let:
H_{0}: μ_{D}=10%,
H_{1}: μ_{D} < 10%
Test the hypothesis. Will you reject or not reject the null hypothesis at α = 0.05