Problem
Question 3 of 7, Step 1 of 3 Correct 3 A pizza delivery chain advertises that it will deliver your pizza in 20 minutes from when the order is placed. Being a skeptic, you decide to test and see if the mean delivery time is actually more than 20 minutes. For the simple random sample of 7 customers who record the amount of time it takes for each of their pizzas to be delivered, the mean is 22.5 minutes with a standard deviation of 3.4 minutes. Assume that the population distribution is approximately normal. Perform a hypothesis test using a 0.01 level of significance. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. \[ \begin{array}{l} H_{0}: \mu=20 \\ H_{a}: \mu \longrightarrow 20 \end{array} \] Answer Tables Keypad Keyboard Shortcuts $0 \neq$ $0<$ O > Submit Answer
Solution
Step 1 ：State the null and alternative hypotheses for the test. The null hypothesis \(H_{0}\) is that the mean delivery time \(\mu\) is equal to 20 minutes. The alternative hypothesis \(H_{a}\) is that the mean delivery time \(\mu\) is greater than 20 minutes.
Step 2 ：Final Answer: \(\boxed{H_{0}: \mu=20, H_{a}: \mu > 20}\)
