The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard deviation of 1 minute. At the Warren Road MacBurger, the quality assurance department sampled 50 customers and found 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?
(a) State the null hypothesis and the alternate hypothesis.
(b) State the decision rule.
(c) Compute the value of the test statistic.
(d) What is your decision regarding H0?
(e) What is the p-value? Interpret it.