Use the Data Given Below to Verify That the T $$\begin{array} { c | c } \mathrm { A } & \mathrm { B } \\\hline 85 & 74 \\81 & 72 \\73 & 65 \\91 & 83 \\64 & 59\end{array}$$

question 100

Essay

Use the data given below to verify that the t test for independent samples and the ANOVA method are
equivalent. $$\begin{array} { c | c } \mathrm { A } & \mathrm { B } \\\hline 85 & 74 \\81 & 72 \\73 & 65 \\91 & 83 \\64 & 59\end{array}$$ i) Use a t test with a 0.05 significance level to test the claim that the two samples come from populations with
the same means.
ii) Use the ANOVA method with a 0.05 significance level to test the same claim.
iii) Verify that the squares of the t test statistic and the critical value are equal to the F test statistic and critical
value.

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Definitions:

Census 2000

The United States Census conducted in the year 2000 to count and collect information about the country's population.

Nevada

A state located in the western United States, known for its vast deserts, Sierra Nevada mountains, and the entertainment hub of Las Vegas.

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The 42nd President of the United States, serving from 1993 to 2001, known for his economic policies, the impeachment proceedings related to his personal life, and various global initiatives.

Globalization

The process of interaction and integration among people, companies, and governments worldwide, often involving the exchange of goods, services, technology, and cultural ideas.