Apaint company claims their paint will be completely dry within 45 minutes after application. recently, customers have complained drying times are longer than the claimed 45 minutes. a consumer advocate group takes a random sample of 25 paint specimens and records their drying times. the average drying time x is 52. consider dryng time, for all test specimens, to be normally distributed with ? = 6.

suppose the claimed drying time is true, that is ? = 45 minutes, what is the probability of observing a sample mean of x = 52 or greater from a sample size of 25? (round your answer to four decimal places.)