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Assume That We Are Constructing a Confidence Interval for the Difference

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Assume that we are constructing a confidence interval for the difference in the means of two populations based on independent random samples.If both sample sizes n1 and n2=10n _ { 1 } \text { and } n _ { 2 } = 10
and the distributions of both populations are highly skewed,then a confidence interval for the difference in the means can be constructed using the t test statistic.


Definitions:

Expected Frequency

In statistics, the frequency expected in a category of a contingency table under the assumption that the null hypothesis is true.

Chi-Square

A statistical test that measures the difference between observed and expected frequencies in categorical data.

Row Variable

In the context of a data table or matrix, it refers to the variable represented by the rows, often used in cross-tabulation to compare against another variable.

Column Variable

A variable represented by a column in a dataset, where each entry in the column represents a value of the variable.

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