The following scenario applies to Questions 7-9. A distribution center for a chain of grocery stores records the total amount of time (in hours) required to fill an order from a store and load the order onto a truck. A new inventory system has made the process more efficient, and the operations manager decides to estimate mean time (M) that it takes to fill an order and load it on the truck. He selects a random sample of 30 orders and computes a 98% confidence interval for u of 5.85 hours to 6.65 hours, A different manager, acting independently of the other manager, selects a different random sample of 30 orders, and computes a sample mean of 6.2 hours, and a sample standard deviation of s = 1.1 hours. After testing the null hypothesis that 16.5 hours, in favor of the alternative hypothesis that * <6.5 hours, this manager gets a p-value of 0.043. Based on these data, which of the following statements is most likely to be correct?
A. We can accept the hypothesis thatp 26.5 hours, with a 043 probability of being wrong
B. There is a .043 probability that p <6.5 hours.
C. There is a 957 probability that p26.5 hours
D. We tan reject the hypotheses that 126.5 hours, with a 043 probability or being wrong