Suppose that the data under consideration consists of the heights of the starting five players on a basketball team: player 1 2 3 4 5 height 67 73 75 76 84 a). Compute the mean and the standard deviation for the entire data. b). List all possible samples of size 2 and find the mean of each sample. c). Find the probability distribution of the sample mean. Find the mean and the standard deviation for this distribution d). Does the Central Limit Theorem apply in this sampling situation? If so, verify it very carefully.
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.
Suppose that the data under consideration consists of the heights of the starting five players on a basketball team:
| player | 1 | 2 | 3 | 4 | 5 |
| height | 67 | 73 | 75 | 76 | 84 |
a). Compute the mean and the standard deviation for the entire data.
b). List all possible samples of size 2 and find the mean of each sample.
c). Find the
d). Does the Central Limit Theorem apply in this sampling situation? If so, verify it very carefully.
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