Suppose Al's Aviation claims their airplanes can hold an average of 610 luggage bags at once. A random sample of 10 airplanes is taken, which leads to a sample mean of 578 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: H_A: (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is ? (d) Based on the p-value, those conducting the test should fail to reject or reject the null hypothesis ? (e) This data does not provide or provides sufficient evidence to conclude that the actual average number of bags the airplanes can hold is less than more or than different from what Al's Aviation claims ?