Question

# The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard...

The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard deviation of 3 minute. At the Warren Road MacBurger, the quality assurance department sampled 49 customers and found that the mean waiting time was 16.25 minutes. At the 0.05 significance level, can we conclude that the mean waiting time is less than 17 minutes? Use α = 0.05.

a. State the null hypothesis and the alternate hypothesis.

H0: μ ≥

H1: μ <

b. State whether the decision rule is true or false: Reject H0 if z < -1.645.

(Click to select)  True  False

c. Compute the value of the test statistic. (Negative answer should be indicated by a minus sign. Round the final answer to 2 decimal places.)

Test statistic z is            .

d. What is your decision regarding H0?

(Click to select)  Do not reject  Reject  H0.

e. What is the p-value? (Round the final answer to 4 decimal places.)

The p-value is  .