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Penner and Watts (1991) investigated whether the time to drill holes in rock differs using "dry" or "wet" drilling. In dry drilling, compressed air is used to flush the cuttings, and in wet drilling water is used. Each method is used in 12 rocks. The drilling times (in 1/100 minutes)

Wet Dry

607 727

549 965

762 904

665 987

588 847

798 918

704 814

772 750

780 804

599 989

603 902

699 939

a. Analyze these data using parallel boxplots.

b. Conduct the appropriate hypothesis test using 0.01 significance level.

c. Construct a 99% confidence interval for the true difference in the mean time

d. What did you assume to do the analysis? Can you evaluate how well these data meet the assumptions? If yes, determine how comfortable you are with them. If not, explain why.

e. Discuss the conclusions of the hypothesis test and confidence interval. Which method would you recommend?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M9979768

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