A photocopier in a school is known to break down at random at a mean rate of 8 times per week.
Question (a)
(a)
The headteacher of the school replaces the photocopier with a refurbished one and wants to find out if the rate of breakdowns has increased or decreased.
Write down suitable null and alternative hypotheses that the headteacher should use.
[ 1 ]
H0:λ=8,H1:λ=8
Question (b)
(b)
During the first week after it was installed there were 4 breakdowns.
Comment on this finding in the light of the critical region found in part (c).
[ 2 ]
"4 is not in the critical region"
So there is insufficient evidence that refurbishment has changed the mean breakdown rate