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 0.01 level of significance whether the two methods of analysis give, on the average, the same result. Click horo to viouy tho camplo analuco

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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 0.01 level of significance whether the two methods of
analysis give, on the average, the same result.
Click here to view the sample analyses.
Click here to view page 1 of the table of critical values of the t-distribution.
Click here to view page 2 of the table of critical values of the t-distribution.
Let sample 1 be the X-ray fluorescence results and let sample 2 be the laboratory chemical results. State the null and alternative
hypotheses.
Ho: HD =
H1: HD #
Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to three decimal places as needed.)
A. t>
B. t<
C.
t< - 4.604 or t> 4.604
Determine the test statistic.
t =
(Round to two decimal places as needed.)
Transcribed Image Text: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 0.01 level of significance whether the two methods of analysis give, on the average, the same result. Click here to view the sample analyses. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. Let sample 1 be the X-ray fluorescence results and let sample 2 be the laboratory chemical results. State the null and alternative hypotheses. Ho: HD = H1: HD # Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to three decimal places as needed.) A. t> B. t< C. t< - 4.604 or t> 4.604 Determine the test statistic. t = (Round to two decimal places as needed.)
i
Sample Analyses
Sample
Analysis
X-ray
1
2
3
4
5
1.9
1.9
2.4
2.1
2.5
Chemical
2.3
1.8
2.5
2.3
2.5
Print
Done
Transcribed Image Text:i Sample Analyses Sample Analysis X-ray 1 2 3 4 5 1.9 1.9 2.4 2.1 2.5 Chemical 2.3 1.8 2.5 2.3 2.5 Print Done
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