Listed below are heights of a random sample of men and women Men Women 186 7 166 8 176 7 176 7 174 2 176 4 171 4 174 8 175 0 178 7 161 2 167 6 166 0 153 2 160 6 178 1 169 2 135 0 163 4 171 3 a Construct a 96 confidence interval for the difference between the mean heights of men and women Critical value z or t Enter the positive one Margin of Error E Confidence Interval b Interpret your result in part a in a complete sentence c Based on your confidence interval can you conclude that the mean height of men differs from the mean height of women Yes No