You beat me LOLThe observed result was 14%. I suspect the professor wants the students to calculate/estimate a theoretical confidence range for that result. For example, one could make an assumption that there were equal numbers of each color in the container from which the skittles were taken. What is the probability one would see that distribution in that event. What if one asked only, what is the probability of drawing 18 reds in 100 grabs without regard to the other colors?
Some rules of thumb may help see that. One is that the standard deviation for any sample is roughly the square root of that sample (e.g, the S.D. for red is √18 ≈ 4.2). For quick estimates without calculations , I round up. Thus the expected range for red is 18 ± 2xS.D. That is, if you repeated the experiment several times, the number of reds would be expected to be between (18 - 2xS.D.) and (18 + 2xS.D) 95% of the time. (Assuming everything is fair.)
I notice the reference book is a nursing manual and suspect the professor's intent is along those lines. How deeply into the mathematics have they gone?
I don't see anything that indicates that the bag has 100 Skittles in it. It appears that it is a bag that contains SOME Skittles and that some reached in, picked on out, recorded the color, and returned it to the bag. They then repeated this 100 times and the data given is just the total observed results. All we know for sure about the bag is that it has at least five Skittles in it (since five different colors were observed over the course of the trials).LOL, I'm sure her children would love to do that experiment
But, these are Nursing students taking a Statistics class, I made sure she writes the equation correctly (P) = 1/5 chances. I'm not sure where she got the bag holds 100 skittles, so they used that as the amount of pulls from the bags to equal the amount of occurrences given. It would be cool to do a graph or other representations as a functional result of different students with separate results. I was surprised with the actual occurrences equal 100 if you total them. So, I qustioned it would be impossible to get the resultant amount of occurrences with only 100 draws.
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I'm still not seeing where it is implied that the population consists of 100 Skittles. Since it is supposedly data from experimental observations, it seems far more likely that we have the tabulated results of 100 experiments, probably performed with replacement.This problem is a bit odd, in that 100 skittles are sampled, so I assume the author is assuming an equal distribution of colors/flavor for instructional purposes..
by Aaron Carman
by Jake Hertz
by Jake Hertz