See the below data: Respondent Gender Height Weight Age 1 F 63.30 156.30 Less than 18 years 2 F 57.00 100.70 Less than 18 years 3 M 63.00 156.30 Less than 18 years 4 M 71.00 237.10 Less than 18 years 5 F 64.30 114.80 Less than 18 years 6 M 62.90 151.80 Between 18-20 years 7 M 65.60 164.70 Between 18-20 years 8 F 61.80 123.90 Between 18-20 years 9 F 64.80 105.40 Between 18-20 years 10 F 63.10 136.10 Between 18-20 years 11 M 68.30 175.20 Between 18-20 years 12 M 69.70 137.40 Between 18-20 years 13 M 65.40 164.20 Between 18-20 years 14 M 66.30 151.00 Between 18-20 years 15 M 66.20 144.20 Between 21-25 5 years 16 F 60.70 124.30 Between 21-25 years 17 F 66.70 182.40 Between 21-25 years 18 F 64.70 108.80 Between 21-25 years 19 22 F 62.70 147.80 Between 21-25 years 20 F 61.30 112.90 Between 21-25 years 21 F 62.60 106.70 Between 21-25 years 23 22 M 67.60 151.30 Between 21-25 years 23 F 62.30 107.80 Between 26-30 years 24 F 59.80 111.70 Between 26-30 years 25 M 68.50 144.10 Between 26-30 years Page 1 of 2 Q1: Answer the following: a. One of the objectives of the study was to determine whether there is a difference in the height of female and male participants. Assuming that the population variances from both populations are equal, is there evidence of a difference in the mean height based on the gender? b. Determine the p-value and interpret its meaning. c. What other assumption is necessary in (a)? d. At the 0.05 level of significance, is there evidence of a difference in the variability of the height in males and females? e. Is there evidence that mean weight for men is larger than mean weight of females in the sample?