After conducting the test, give a statistical conclusion in words. An industrial

Question

After conducting the test, give a statistical conclusion in words.

An industrial sociologist suggests that women take more sick days than men (and—although we’re not testing this—that this is because of family responsibilities). Using a test for equality of means, determine if this hypothesis appears valid at a 1% level of significance, if a sample of 56 women took an average of 8.82 sick days in the last 12 months, with a standard deviation of 3.11 days, and a sample of 102 men took an average of 7.94 days, with a standard deviation of 2.92 days.

[Extra Credit] Check whether pooling variances is reasonable in problem (5). Assume a 5% standard.

Explanation / Answer

p-value = 0.0425

As p-value is greater than the significance level of 0.01, we fail to reject the null hypothesis.

This means there are not significant evidence to conclude that women take more sick leaves than men.

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