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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.
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![Suppose that the heights of college women follow a normal distribution with a mean 65
inches and a standard deviation 2.5 inches.
Use this information to answer the following 3 problems.
1. Gloria is 62 inches tall. Approximately what percent of college women are shorter than
Gloria?
11.51%
2. Isabel is a player in the women's basketball team. How tall is Isabel if 15% of college
women are taller than her?
67.6 inches
3. Let Y= the number of college women who are at least 65 inches tall in a random sample
of 150.
[ Select ]
Binomial (150, 0.50)
Normal (65, 2.5)
Normal (75, 6.124)
Binomial (150, 0.65)
What is the exact model of Y?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10de40d4-0dd7-45fd-9d14-c5a48cbfeb71%2Fdc79f119-3705-4ccf-8b01-b9fd04fce716%2F9cpo8s9_processed.png&w=3840&q=75)
Sampling Distribution of a Normal Variable :
Given a random variable X. Suppose that the population distribution of X is known to be normal, with mean µ and
variance σ2 , that is, X ~ N(µ, σ). Then, for any sample size n, it follows that the sampling distribution of is normal,
with mean µ and variance σ2/n , that is,
- is called the “standard error of the mean,” denoted SEM, or more simply, s.e.
- The corresponding Z-score transformation formula is ~ N(0,1) .
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