Five samples of a​ ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an​ X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were​ applied, with the accompanying results. Assuming that the populations are​ normal, test at the 0.05 level of significance whether the two methods of analysis​ give, on the​ average, the same result. Determine the test statistic t=?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 36E
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Five samples of a​ ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an​ X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were​ applied, with the accompanying results. Assuming that the populations are​ normal, test at the 0.05 level of significance whether the two methods of analysis​ give, on the​ average, the same result.

Determine the test statistic

t=?

Sample
Analysis
X-ray
1
2
3
4
1.9
1.9
2.3
2.1
2.5
Chemical
2.2
1.7
2.4
2.3
2.5
LO LO
LO
Transcribed Image Text:Sample Analysis X-ray 1 2 3 4 1.9 1.9 2.3 2.1 2.5 Chemical 2.2 1.7 2.4 2.3 2.5 LO LO LO
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,