As a second example, suppose the production manager in
a company claims that new workers could achieve 90% of
the productivity level of experienced workers within one
week of being hired and trained. The validity of this claim
is considered important by his boss as it would have an
impact on the rest of the operations in the company.
Suppose further that experienced workers can, on average,
process 500 units of a product per hour. Thus, if
the manager’s claim is correct, then new workers should
be able to process 0.9 · 500 = 450 products per hour, on
average.
Our research hypothesis therefore is µ > 450, implying
that the null hypothesis should be µ = 450:
H0 : µ = 450
H1 : µ > 450
A sample of n = 50 workers are taken and the productivity
levels of these workers are measured. The sample
mean turns out to be 460.38, and the sample standard
deviation 38.83.