Suppose Al's Aviation claims their airplanes can hold an average of 626 luggage bags at once. A random sample of 13 airplanes is taken, which leads to a sample mean of 594 bags with a sample standard deviation of 70 bags. Using this sample, a test is constructed about whether the actual average number of bags the airplanes can hold is less than what Al's Aviation claims, using a significance level of 0.05.
(a) What are the null and alternative hypotheses?
H0: pμp1 - p2μ1 - μ2 <≠>= 626594
HA: pμp1 - p2μ1 - μ2 =≤≥<≠> 626594
(b) What is the test statistic? (Round your answer to 3 decimal places, if needed.