# Test of Hypothesi: Mean Waiting Time

The Restaurants McBurger says that the waiting time for customers is 3 minutes with a standard deviation of population 1 minute. The quality control department found in a sample of 50 clients that the average waiting time was 2.75 minutes. With a significance level of 0.05. Can conclude that the waiting time is less than 3 minutes?

Please provide details for I try to understand the procedure.

© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/statistics/hypothesis-testing/test-of-hypothesi-mean-waiting-time-7fhg#### Solution Preview

...

1) Hypothesis

Null Hypothesis: Ho: M = 3 (:Mean is 3 minutes)

Alternative Hypothesis: H1: M < 3 :( Mean is less than 3 minutes )

Significance level=alpha (a) = 0.05 or 5%

No of tails= 1 ( Left tail )

This is a 1 tailed ( Left tail ) test because we are testing that M < 3

2) Decision rule

sample size=n= 50

Since sample size is more than 30 and population standard deviation is known, use normal distribution

Thus we use z distribution

Z at the 0.05 level of significance 1 tailed test = 1.6449

...