Consider a sample x1, x2,…, xn and suppose that thevalues of x, s2, and s have been calculated.a. Let yi 5 xi 2 x for i 5 1,…, n. How do the values ofs2 and s for the yi’s compare to the correspondingvalues for the xi’s? Explain.b. Let zi 5 (xi 2 x)ys for i 5 1,…, n. What are thevalues of the sample variance and sample standarddeviation for the zi’s?
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.
Consider a sample x1, x2,…, xn and suppose that the
values of x, s2, and s have been calculated.
a. Let yi 5 xi 2 x for i 5 1,…, n. How do the values of
s2 and s for the yi’s compare to the corresponding
values for the xi’s? Explain.
b. Let zi 5 (xi 2 x)ys for i 5 1,…, n. What are the
values of the sample variance and sample standard
deviation for the zi
’s?
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