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The MacBurger restaurant chain claims that the waiting time of customers for service is normally distributed, with a mean of 3 minutes and a standard deviation of 1 minute. The quality-assurance department found in a sample of 50 customers at the Warren Road MacBurger that the mean waiting time was 2.75 minutes. At the .05 significance level, can we conclude that the mean waiting time is less than 3 minutes?

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Solution Summary

The solution contain the testing of mean waiting time of customers for service at MacBurger restaurant. Null hypothesis, alternative hypothesis, significance level, critical value and p value are given in the solution.

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Please see the attached file.

The Null hypothesis tested
H0: Mean waiting time = 3 min
Claim H1: mean waiting time < 3 min
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