In: Statistics and Probability
Fast Facts Financial (FFF), Inc. provides credit reports to lending institutions which are
evaluating applicants for home mortgages, vehicle, home equity, and other loans.
A pressure faced by FFF Inc. is that several competing credit reporting companies are
able to provide reports in about the same average amount of time, but are able to promise
a lower time than FFF Inc - the reason being that the variation in time required to
compile and summarize credit data is smaller than the time required by FFF.
FFF has identified & implemented procedures which they believe will reduce this
variation. If the historic standard deviation is 2.3 days, and the standard deviation for a
sample of 25 credit reports under the new procedures is 1.8 days, then test the appropriate
hypothesis at the alpha = .05 level of significance.
Hint: Use chi-square distribution, assume measured trait is normal, and evidence should be insufficient for rejecting null hypothesis.