SOLUTION: A survey of the National Capital Region finds the average commute time time of employees on one way is 45 minutes. the Makati chamber of Commerce feels that in their city it is gre

Algebra ->  Probability-and-statistics -> SOLUTION: A survey of the National Capital Region finds the average commute time time of employees on one way is 45 minutes. the Makati chamber of Commerce feels that in their city it is gre      Log On


   

Question 1192239: A survey of the National Capital Region finds the average commute time time of employees on one way is 45 minutes. the Makati chamber of Commerce feels that in their city it is greater and want to publicize this. They randomly selected 28 commuters and found the average is 50 minutes with a standard deviation of 6 minutes. At alpha=0.05, are they correct?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is a 1 sample 1-way t-test
Ho: mean is 45 min
Ha: mean >45 min
alpha=0.05 p{reject Ho|Ho true}
test is a t df=27
reject if t>1.703
calculation t=(diff in mean)/sqrt (V)
=(50-45)/6/sqrt(28)
=5 sqrt (28)/6
=4.41
reject Ho and conclude there has been a difference, and the time is greater. p-value < 0.0001