5) At Hogwarts school of Witchcraft and Wizardry, professor McGonagall wants to conduct a survey, collecting student opinion about renovating the quidditch field. At Hogwarts there are... 150 Gryfinndor students 170 Ravenclaw students 160 Hufflepuff students . 30 staff members . . 140 Slytherin students a) Determine an appropriate sampling interval if administration would like to sample 65 people using a systematic random sample. @ b) McGonagall wants a larger sample size of 130 people that reflects the diversity between the houses. Design a stratified random sample for this scenario, and summarize your results in the table provided. @ Group Gryffindor Hufflepuff Slytherin Ravenclaw Staff # of People Sampled