A restaurant 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 dept found in a sample of 50 customers 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 the alternate hypothesis
b) State the decision rule?
c) Compute the value of the test statistic?
d) What is your decision regarding of Ho
e) What is the p-value? Interpret it