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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?
Write the null and alternative hypotheses for testing if participants and non-participants differ in level of problem behavior (Y).
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Would it be unusual for a return with income of $100,000 or more to be audited? What is the probability that two randomly selected returns with income of $100,000 or more will not be audited?
Assume the probability that a telephone in any given telephone booth is defective is 0.2. Determine the probability that if 8 phone booths are examined, the number of defective phones is exactly 3.
In the regards to a stem-and-leaf plot that best represents the given data, what would the stem be? Determine which stem would have the most leaves and explain what this means in terms of the GPA's.
Using a random sample of 100 workers, researchers calculate a 95% confidence interval for the average hourly wage earned by construction workers in the city of Boston. This interval they calculate is from $18 to $26.
If the rods' lengths produced by your line are normally distributed, with a mean equal to the target of 0.2 meters, and a standard deviation of 0.015m, what percentage of rods will be scrapped?
Find out how to minimize cost of meeting demands in Houston and Tampa.
Correlation and Regression
If there is a difference between the two groups of scores. Briefly explain how the difference may have been caused by the treatments.
Not take SRS of 25 students who took test. What are the mean and standard deviation of sample mean score xbar of these 25 students?
The standard deviation of the sample was 1.7 years. Using the 0.95 degree of confidence, what is the confidence interval within which the population mean lies?
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