Question

A jar contains red, green, yellow, orange and black jelly beans. In total the jar has 500 jelly beans. 3 students are discussing the best strategy to determine how many of each color jelly beans are in the jar.

Maci suggest taking 5 random samples of 10 jelly beans and recording the results.

Brandy suggests taking 5 random samples of 20 jelly beans and recording the results.

Gabby suggests taking 10 random samples of 25 jelly beans and recording the results.

Which student's suggestion is most likely to result in the best prediction of how many jelly beans of each color are in the jar?



A: Gabby

B: Maci

C: It is not known which would result in best prediction because it depends which color jelly beans are actually in the jar.
It is not known which would result in best prediction because it depends which color jelly beans are actually in the jar.

D:All 3 of them have the same likelihood resulting in the best prediction of how many of each color jelly bean are in the jar.

Answer 1

Using the Central Limit Theorem, it is found that the best prediction is given by:

A: Gabby.

What does the Central Limit Theorem state?

It states that higher sample sizes and a higher number of experiments lead to more accurate predictions.

Gabby's sampling method has the higher sample size and also the higher number of experiments, hence her experiment gives the best prediction and option A is correct.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

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