A simulated exercise gave n 24 observations on escape time

A simulated exercise gave n = 24 observations on escape time (sec) for oil workers, from which the sample mean and sample standard deviation are 367.7 and 24.55, respectively. Suppose the investigators had believed a priori that true average escape time would be at most 6 min. Does the data contradict this prior belief? Assuming normality, test the appropriate hypotheses using a significance level of .05. (Give t to 2 decimal places and the p-value to 3 decimal places.)

Solution

t = (6 - 6.13) / (24.55/60) = - 0.32 Answer

P-value = 0.375 Answer