1) Adult males are taller, on average, than adult females. Visiting two recent American Youth Soccer Organization (AYSO)

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1 Adult Males Are Taller On Average Than Adult Females Visiting Two Recent American Youth Soccer Organization Ayso 1 (61.21 KiB) Viewed 133 times

1) Adult males are taller, on average, than adult females. Visiting two recent American Youth Soccer Organization (AYSO) under 12 year old (U12) soccer matches on a Saturday, you do not observe an obvious difference in the height of boys and girls of that age. You suggest to your little sister that she collect data on height and gender of children in 4th to 6th grade as part of her science project . The accompanying table shows her findings. Height of Young Boys and Girls, Grades 4-6, in inches Y Boys 86.7 110 Boys Girls Boys Boys Girls Girls "Girls 7.2 173 8.4 114 (a) Let your null hypothesis be that there is no difference in the height of females and males at this age level. Specify the alternative hypothesis. Ho: A = TB-To=0 no diff. inheight Ha: A =To-To to female height is less than the boys. -Ovs. Hi Boys 70 (b) Calculate the t-statistic for comparing the two means. Is the difference statistically significant at the 1% level? Which critical value did you use? Why would this number be smaller if you had assumed a one-sided alternative hypothesis? What is the intuition behind this? (te = -0.78) V = 10% = 0.01 Answer: (a) HO: Boys Girls Girls 104. - trol, 221 86.7 - 73 -0.78 803 60 Y (d): -0.78, 80 |