a bank claims that the mean waiting time in line is less tha

a bank claims that the mean waiting time in line is less than 4.6 minutes. A random sample of 60 customers has a mean of 4.5 minutes with a standard deviation of .6 minute. If a = .05, test the bank\'s claim using P-values. Ho= Ha= Test Statistic= Alpha level of significance= Classical Critical Value= P-value= Conclusion=

Solution

H0: mean waiting time >= 4.6 minutes against H1: mean waiting time < 4.6.....

Test statistic = (4.6 - 4.5) / ( 0.6 / sqrt(60) ) = 1.290994....
p-value =  0.1008707.....
alpha = 0.05..
critical value = 1.671093.....

so, p-value > alpha and critical value > actual value..

We accept H0 and the waiting time in line is greater than or equal to 4.6....