18. Handy. Afactory hiring people to work on an
Chapter 24, Problem 18(choose chapter or problem)
18. Handy. Afactory hiring people to work on an assemblyline gives job applicants a test of manual agility. This testcounts how many strangely shaped pegs the applicant canfit into matching holes in a one-minute period. The tablebelow summarizes the data by sex of the job applicant.Assume that all conditions necessary for inference are met. a) Find 95% confidence intervals for the average numberof pegs that males and females can each place.b) Those intervals overlap. What does this suggest aboutany sex-based difference in manual agility?c) Find a 95% confidence interval for the difference inthe mean number of pegs that could be placed by menand women.d) What does this interval suggest about any differencein manual agility between men and women?e) The two results seem contradictory. Which method iscorrect: doing two-sample inference or doing onesampleinference twice?f) Why dont the results agree?
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