Amarketing consultant is hired by a major restaurant chain wishing to investigate the preferences and spending patterns of lunch customers. the ceo of the chain hypothesized that the average customer spends at least $13.50 on lunch. a survey of 25 customers sampled at one of the restaurants found the average lunch bill per customer to be ¯=$14.50 . based on previous surveys, the restaurant informs the marketing manager that the standard deviation is =$3.50 . lunch bills are normally distributed. to address the ceo’s conjecture, the marketing manager carried out a hypothesis test of : =13.50 vs. : > 13.50 . using the test statistic ¯−13.50)/√ , the ‑value for the hypothesis test equals: