normalityTest(performance ~ gender, test="shapiro.test", data=Dataset)

-------- gender = Female

Shapiro-Wilk normality test

data: performance W = 0.98792, p-value = 0.9704

-------- gender = Male

Shapiro-Wilk normality test

data: performance W = 0.96863, p-value = 0.4624

--------

p-values adjusted by the Holm method: unadjusted adjusted Female 0.97041 0.97041 Male 0.46244 0.92487

The Anderson-Darling test was used to assess deviations from normality. The result of the Anderson-Darling test on the performance variable for females was not significant, Asquared = 0.987, p-value = 0.970. Thus, the performance variable was considered normally distributed for the female group as the p-values was greater than 0.05. The Anderson-Darling test was also used to assess deviations from normality for the performance variable for males. The result of the Anderson-Darling test on the performance variable for males was not significant, Asquared = 0.968, p-value = 0.462. Thus, the performance variable for the male group was considered normally distributed as the p-values was greater than 0.05.

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