Discussion:
Q1-Refer to the table below (Computer-interactive Data analysis) that lists the number of years that U.S president and popes and British monarch (since 1690) lived after their inauguration, election, or coronation. Determine whether the survival times for the three groups differ.
|
|
|
|
|
|
president
|
|
Popes
|
|
Kings and Queens
|
|
|
|
|
|
|
Washington
|
10
|
Alex VIII
|
2
|
James II
|
17
|
J. Adams
|
29
|
Innoc XII
|
9
|
Mary II
|
6
|
Jefferson
|
26
|
Clem XI
|
21
|
William III
|
13
|
Madison
|
28
|
Innoc XIII
|
3
|
Anne
|
12
|
Monroe
|
15
|
Ben XII
|
6
|
George I
|
13
|
J.Q. Adam
|
23
|
Clem XII
|
10
|
George II
|
33
|
Jackson
|
17
|
Ben XIV
|
18
|
George III
|
59
|
Van Buren
|
25
|
Clem XIII
|
11
|
George IV
|
10
|
Harrison
|
0
|
Clem XIV
|
6
|
William IV
|
7
|
Tyler
|
20
|
Pius VI
|
25
|
Victoria
|
63
|
Polk
|
4
|
Pius VII
|
23
|
Edward VII
|
9
|
Taylor
|
1
|
Leo XII
|
6
|
George V
|
25
|
Fillmore
|
24
|
Pius VIII
|
2
|
Edward VIII
|
36
|
Pierce
|
16
|
Greg XVI
|
15
|
George VI
|
15
|
Buchanan
|
12
|
Pius IX
|
32
|
|
|
Lincoln
|
4
|
Leo XIII
|
25
|
|
|
A. Johnson
|
10
|
Pius X
|
11
|
|
|
Grant
|
17
|
Ben XV
|
8
|
|
|
Hays
|
16
|
Pius XI
|
17
|
|
|
Garfield
|
0
|
Pius XII
|
19
|
|
|
Arthur
|
7
|
John XXIII
|
5
|
|
|
McKinley
|
24
|
Paul VI
|
15
|
|
|
T. Roosevelt
|
12
|
John Paul I
|
0
|
|
|
Taft
|
4
|
John Paul II
|
26
|
|
|
Wilson
|
18
|
|
|
|
|
Harding
|
21
|
|
|
|
|
Coolidge
|
11
|
|
|
|
|
Hoover
|
36
|
|
|
|
|
F .Roosevelt
|
12
|
|
|
|
|
Truman
|
28
|
|
|
|
|
Kennedy
|
3
|
|
|
|
|
Eisenhower
|
16
|
|
|
|
|
L. Johnson
|
9
|
|
|
|
|
Nixon
|
25
|
|
|
|
|
Regan
|
23
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Q2 -Archaeology: Skull Breadths from different Epochs: samples of head breadths were obtained by measuring skulls of Egyptian males from 3 deferent epochs, and the measurements are listed below: changes in head shape over time suggest that interbreeding occurred with immigrant populations. Use a 0.05 significant level to test the claim that the different epochs do not all have the same mean. What do you conclude
4000 B.C.
|
1850 B.C.
|
15 A.D.
|
131
|
129
|
128
|
138
|
134
|
138
|
125
|
136
|
136
|
129
|
137
|
139
|
132
|
137
|
141
|
135
|
129
|
142
|
132
|
136
|
137
|
134
|
138
|
145
|
138
|
134
|
137
|
Q3-Which treatment is better? A randomized controlled trial was designed to compare the effectiveness of splitting against surgery in the treatment of carpal tunnel syndrome. The results show below. They are based on evaluations made one year after the treatment. Using a 0.01 significant level, test the claim that success is independent of the type of treatment. What do the results suggest about treating carpel tunnel syndrome?
|
successful treatment
|
unsuccessful treatment
|
Split treatment
|
60
|
23
|
Surgery treatment
|
67
|
6
|