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# T-Test and Chi-Square Test for Gender, Age, Department and Tenure

Work through a t-test to compare the means of two groups of data. One possible example is to compare the tenure of females to the tenure of males. Ensure that you begin by stating the null and alternative hypotheses. Your final answer should point out if the null is confirmed or rejected and why. Please show as much work as possible.

Work through a chi-square test to compare the expected and observed frequencies of two groups within our Unit 1 data set. One possible example is to compare the actual number of female and male participants in the data set. Ensure that you begin by stating the null and alternative hypotheses. Your final answer should point out if the null is confirmed or rejected and why. Please show as much work as possible.

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Solution:

T test to compare the means of two groups of data:

Ho: There is no significant difference in the tenure of females to the tenure of males.

Ha: There is significant difference in the tenure of females to the tenure of males.

t = (x1 - x2 ) / s √(1/n1+ 1/n2)

S² = [(n1-1)s1² + (n2-1)s2²] ...

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