The following are the heights (measured to the nearest 2 cm) and the weights (measured to the nearest kilogram) of 10 men:
Height
|
162
|
168
|
174
|
176
|
180
|
180
|
182
|
184
|
186
|
186
|
Weight
|
65
|
65
|
84
|
63
|
75
|
76
|
82
|
65
|
80
|
81
|
and 10 women:
Height
|
152
|
156
|
158
|
160
|
162
|
162
|
164
|
164
|
166
|
166
|
Weight
|
52
|
50
|
47
|
48
|
52
|
55
|
55
|
56
|
60
|
60
|
Calculate, separately for men and women, the 95% confidence interval for Pearson's correlation coefficient between height and weight. Is there any indication that the two population correlation coefficients are different.