d. Use the summary statistics, part c, to find a 90%confidence interval for thetruemeandiffer-ence (“Ist Hole" minus "2nd Hole") in THMmeasurements.e. Interpret the interval, part d. Can the geologists con-clude that there is no evidence of a difference in thetrue THM means of all original holes and their twinholes drilled at the mine?Location1st Hole2nd Hole125.511.05.95.711.26.0348.25.6510.09.37.910.17.078.487.49.097.09.26.08.11010.08.38.611128.11310.510.45.510.07.011.21415 Twinned drill holes. A traditional method of verifyingmineralization grades in mining is to drill twinned holes,i.e., the drilling of a new hole, or “twin," next to an ear-lier drill hole. The use of twinned drill holes was investi-gated in Exploration and Mining Geology (Vol. 18, 2009).Geologists use data collected at both holes to estimatethe total amount of heavy minerals (THM) present atthe drilling site. The data in the following table (basedon information provided in the journal article) representTHM percentages for a sample of 15 twinned holes drilledat a diamond mine in Africa. The geologists want to knowif there is any evidence of a difference in the true THMmeans of all original holes and their twin holes drilled atthe mine.a. Explain why the data should be analyzed as paireddifferences.b. Compute the difference between the “Ist Hole" and"2nd Hole" measurements for each drilling location.c. Find the mean and standard deviation of the differ-ences, part b.

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d. Use the summary statistics, part c, to find a 90% confidence interval for the true mean differ- ence (“1st Hole" minus "2nd Hole") in THM measurements. e. Interpret the interval, part d. Can the geologists con- clude that there is no evidence of a difference in the true THM means of all original holes and their twin holes drilled at the mine?

d. Use the summary statistics, part c, to find a 90% confidence interval for the true mean differ- ence (“1st Hole" minus "2nd Hole") in THM measurements. e. Interpret the interval, part d. Can the geologists con- clude that there is no evidence of a difference in the true THM means of all original holes and their twin holes drilled at the mine?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 31PPS

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