The waiting time for customers at MacBurger Restaurants follows a normal distrib
ID: 3312820 • Letter: T
Question
The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard deviation of 5 minute. At the Warren Road MacBurger, the quality assurance department sampled 84 customers and found that the mean waiting time was 16.75 minutes. At the 0.05 significance level, can we conclude that the mean waiting time is less than 18 minutes? Use = 0.05.
The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard deviation of 5 minute. At the Warren Road MacBurger, the quality assurance department sampled 84 customers and found that the mean waiting time was 16.75 minutes. At the 0.05 significance level, can we conclude that the mean waiting time is less than 18 minutes? Use = 0.05.
Explanation / Answer
The statistical software output for this problem is:
One sample Z summary hypothesis test:
: Mean of population
H0 : = 18
HA : < 18
Standard deviation = 5
Hypothesis test results:
Hence,
a) H0: 18
H1: < 18
b) True
c) Test statistic = -2.29
d) Reject Ho
e) p - Value = 0.011
Mean n Sample Mean Std. Err. Z-Stat P-value 84 16.75 0.54554473 -2.2912878 0.011Related Questions
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