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T test for average sick days

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An insurance company is trying to determine if there is a significant difference in the average number of sick days that registered nurses and nurse practitioners use per year. The data analysis provided the following output.

Two sample T for registered nurses vs nurse practitioners:

N Mean StDev SE Mean
Registered nurses 180 10.5 10.0 0.74
Nurse practitioners 180 13.2 4.68 0.35

T-Test mu registered nurses = mu nurse pract: T = 1.12 P-value = 0.89

Provide an interpretation of the descriptive statistics as displayed in the above output.

Is there a statistically significant difference at 0.05 in the average number of sick days used by these two different groups of nurses? State your conclusion.

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Solution Summary

The solution provides step by step method for the calculation of t test statistic. Formula for the calculation and Interpretations of the results are also included.

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