Australia Post claims that the mean daily number of customers at a particular branch is 35...
- Australia Post claims that the mean daily number of customers
at a particular branch is 35 with standard deviation 8. This mean
is too low and they wish to close this branch. An investigation
measured the number of daily customers over a 30-day period and
found a mean of 38. Use a hypothesis test on the mean to determine
if this investigation supports the claim of Australia Post (at the
5%
level).
Homework Answers
Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ <= 35
Alternative Hypothesis, Ha: μ > 35
Test statistic,
z = (xbar - mu)/(sigma/sqrt(n))
z = (38 - 35)/(8/sqrt(30))
z = 2.05
P-value Approach
P-value = 0.0202
As P-value < 0.05, reject the null hypothesis.
There is sufficient evidence to conclude that the mean
custromers are greater than 35.
Investigation does not support the claim.
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