When members of a philanthropic organization send out a fundraising letter, they get a return from about 5% of the people on their mailing list. They simulated 1000 mailings for samples of size n with success rate p= 0.05. The sample statistics from each simulation are shown in the table. Complete parts a) through c). n mean standard dev. 20 0 0501 0.0485 50 100 200 0.0508 0.0504 0.0307 0.0214 0.0156 0.0501 a) According to the central limit theorem, what should the theoretical mean and standard deviation be for each of the sample sizes? Complete the following table. theoretical mean theoretical standard dev. 20 50 100 200 (Round to four decimal places as needed.) b) How close are the theoretical values to those that were observed? O Not close O Very close

Q: -48 6

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.