5) A production manager is studying the effect of overtime on
different shifts. On Shift I at least half of the workers were on
overtime. A random sample of 245 items from the Shift I assembly
line showed that 24 had defects. Shift II has no overtime workers.
A random sample of 258 items from the Shift II assembly line showed
that 11 were defects.
a) Find the 90% confidence interval for the population proportion
difference p1 – p2 of the defective items for Shift I verse Shift
II.
b) Give an explanation of the meaning of your answer in the context
of this problem.
c) What does the confidence interval for the difference tell you
about the population proportion of defects for Shift I compared to
Shift II?
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