4. A new procedure for the determination of sulfur in coal was tested on a standard coal sample with a certified value of 2.14% sulfur by mass. The new procedure gave results of 2.11%, 2.07%, 2.04%, 2.06%, and 2.16% for five separate determinations. a) Does the new procedure give the correct result at the 95% confidence level? b) Does the new procedure give the correct result at the 90% confidence level? c) Based on your answers to parts (a) and (b), fill in the blank in the following statement: There is at least a % chance that the difference between the certified value and the values obtained by the new procedure is due to random error.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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4. A new procedure for the determination of sulfur in coal was tested on a standard coal sample with a certified value of 2.14% sulfur by mass. The new procedure gave results of 2.11%, 2.07%, 2.04%, 2.06%, and 2.16% for five separate determinations. a) Does the new procedure give the correct result at the 95% confidence level? b) Does the new procedure give the correct result at the 90% confidence level? c) Based on your answers to parts (a) and (b), fill in the blank in the following statement: There is at least a % chance that the difference between the certified value and the values obtained by the new procedure is due to random error.

 

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