The heights (in cm) and weights (in kg) of thirteen male and ten female students are given below: Male Female Height Weight Height Weight Height Weight Height Weight 183 65-5 190 79.5 170 72-5 160 54-0 170 64.0 182 62-0 165 51.0 160 65-5 178 64.0 192 86-0 168 57.5 157 56-5 173 66-0 173 76-5 163 44-5 175 58.5 175 64-0 160 52-0 178 67.0 188 64.0 155 59-5 185 72-0 168 64.5 (a) Obtain 95% confidence intervals for the correlation coefficients between height and weight for the male and female students. (b) Is there any evidence in the data to suggest that the two correlation coefficients differ?

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