In: Statistics and Probability
The logistics company wants to know if the time it takes to receive shipments is the same or different for two shipping companies. A random sample of delivery times is selected for each of the two shipping firms.
The null and alternative hypotheses are:
?0: (?1−?2)=0
??: (?1−?2)≠0
A 0.10 significance level is chosen for this two-tailed test.
The samples are selected, and the results are:
?1 = 14.8 ???? ?1 = 4.6 ???? ?1 = 35
?2 = 17.4 ???? ?2 = 4.9 ???? ?2 = 47
Therefore, there is enough evidence to claim that population mean μ1
is different than μ2, at the 0.10 significance level.