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    Hypothesis testing

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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?

    Ho: The mean waiting time is 3 minutes
    Ha:The mean waiting time is less than 3 minutes.

    Test statistic:

    Z = ( 2.75 - 3) / 1/ √50

    Z = -1.77

    At 0.05 level the table value is -1.645

    Since the calculated value lies in the rejection region, we reject Ho.

    The mean waiting time is less than 3 minutes.

    © BrainMass Inc. brainmass.com June 3, 2020, 8:37 pm ad1c9bdddf
    https://brainmass.com/statistics/hypothesis-testing/hypothesis-testing-145814

    Solution Summary

    This posting presents testing of hypothesis that the waiting time of customers at MacBurger Restaurant for service is less than 3 minutes.

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