1) The figure below shows the histograms of height for both genders in the United States. Use the figure to answer the questions below. Height of Adult Women and Men Within-group variation and between-group overlap are significant Percentage of People in Height Range -5% -4% 161cm 174cm WOMEN MEN -3% -2% 1% 140 145 150 155 160 165 5 ft 170 5.5 ft 175 180 185 190 195 TIT 200 cm 6 ft 6.5 ft feet Data from U.S. CDC, adults ages 18-86 in 2007 a) If you were to resample about 50 times from the data for both genders and calculate the per-gender mean, what would those distributions look like? Draw the approximate frequency distributions resulting from this mental exercise in the space below. b) Would it be appropriate to use a t-test for differences in the by-gender means? If so, which of the three kinds of t-tests is appropriate?