In an advertisement, a pizza shop claims that its mean delivery time is less than 15 minutes. A random selection of 16 delivery times has a sample mean of 14 minutes. It is known that the population is a normal distribution with standard deviation of delivery time is 2 minutes. Perform hypothesis test on the claim at α = 0.05.
Solution :
Given that,
α = 0.05
= 14
= 2
n = 16
Hypothesis:
H0 :
15
Ha :
15
Test Statistic:
Z = (
-
) / (
/
n)
Z = (14 -15) / ( 2/
16)
Z = -2
The test statistic is -2
Reject H0 if P-value
= 0.05
P-value = 0.0228
Reject H0, its mean delivery time is less than 15 minutes
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