Question
Orange Yellow Brown Number 12 13 14 Proportion 0.31 0.33 0.36 ) If every student was to estimate the population proportion of orange candies by
Orange | Yellow | Brown | |
Number | 12 | 13 | 14 |
Proportion | 0.31 | 0.33 | 0.36 |
) If every student was to estimate the population proportion of orange candies by the proportion of orange candies in his/her sample, would everyone arrive at the same estimate?
j) Based on what you have learned about random sampling and having the benefit of seeing the sample results of the entire class, take a guess concerning the population proportion of orange candies.
k) Again, assuming that each student had access only to her/his sample, would most estimates be reasonably close to the true parameter value? Would some estimates be way off? Explain.
l) In what way would the dot plot have looked different if each student had taken a sample of 10 candies instead of 25? (If unsure, you can check this using the Reese's Pieces applet
http://www.rossmanchance.com/applets/OneProp/OneProp.htm?candy=1)
m) In what way would the dot plot have looked different if each student had taken a sample of 75 candies instead of 25?
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