Answered: Handy A factory hiring people to work…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Handy A factory hiring people to work on an assembly line
gives job applicants a test of manual agility. This test counts
how many strangely shaped pegs the applicant can fit into
matching holes in a one-minute period. The table below
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 number
of pegs that males and females can each place.
b) Those intervals overlap. What does this suggest about
any sex-based difference in manual agility?
c) Find a 95% confidence interval for the difference in
the mean number of pegs that could be placed by men
and women.
d) What does this interval suggest about any difference in
manual agility between men and women?
e) The two results seem contradictory. Which method

is correct: doing two-sample inference or doing one-
sample inference twice?

f) Why don’t the results agree?

Male Female
Number of subjects 50 50
Pegs placed:
Mean 19.39 17.91
SD 2.52 3.39

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