ASSIGNMENT TWO:
Question 1:
GPRTU conducted several tests to determine whether there was a
difference in the mean travel times along four routes to Accra from
Kumasi. Because there will be many different drivers, the test was set up,
so each driver drove along each of the four routes. The table below
shows the travel time, in minutes, for each driver-route combination.
Travel Time from Kumasi to Accra
Driver Route I Route II Route III Route IV Route V
Isaac 9 11 9 16 18
Mensah 12 9 10 10 11
Chris 12 18 16 13 12
Serebour 18 19 15 11 14
Tettey 14 15 13 19 10
Obed 20 17 14 8 12
At the 0.01, 0.025, and 0.05 significance level,
i. is there a difference in the mean travel time along the five routes?
ii. if we remove the effect of the drivers, is there a difference in the
mean travel time?
Question 2:
Dot Incorporated has developed three new letter arrangements for
computer keyboards. The company wishes to see if there is any
relationship between the arrangement of letters on the keyboard and the
number of hours it takes a new typing student to learn to type at 20
words per minute. At 1%, 2.5%, and 5% significance levels use the data
below to guide your investigation using an appropriate statistical
technique.
Keyboard 11-30 h 31-50 h 51-70 h 71-90 h
A 16 12 10 25
B 18 10 12 8
C 9 16 20 13
Standard 21 11 15 10
