here are four houses at Hogwarts, and this year this is the number of students i
ID: 2922689 • Letter: H
Question
here are four houses at Hogwarts, and this year this is the number of students in each: Gryffindor - 76; Hufflepuff - 82; Ravenclaw - 61; Slytherin - 73 a) What is the range of the number of students in a house? (Note this is a parameter as all four houses are included.) b) List all of the possible samples of size two. This is with replacement, so there should be 16 of them. For each of these, find the sample range. c) Take all the sample ranges you found in step b. Find the mean of these sample ranges. d) Is that mean of sample ranges (from part c) the same as the population range (from part a) e) Why or why not? Explain why you got the result you did in part d.
Explanation / Answer
a)here range =maximum-minimum =82-61 =21
b)
c)
from above mean of all the ranges =8.25
d) No mean of sample ranges is 8.25 while that of population is 21.
e) this is because sample range is not unbiased estimator of population range.
pplease revert for any clarification required,
sample 1 sample 2 sample range 76 76 0 82 76 6 61 76 15 73 76 3 76 82 6 82 82 0 61 82 21 73 82 9 76 61 15 82 61 21 61 61 0 73 61 12 76 73 3 82 73 9 61 73 12 73 73 0Related Questions
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