A business manager is interested in the amount of overtime employees at their company complete over the year. The manager would like to test the claim that the average amount of overtime employees from the human resources department complete is less than employees from the management department. They collected a random sample of human resources employees and management employees and recorded the amount of overtime completed in the past year. The summary statistics (in hours) are shown in the following table.

Assume that the times are normally distributed and that the population variances are not equal. At the 0.025 level of significance, is there sufficient evidence that the average amount of overtime employees from the human resources department complete over the year is less than employees from the management department?

Let 1 represent the mean overtime for human resources employees and 2 represent the mean overtime for management employees.

Overtime for human resources (in hours)	Overtime for management (in hours)
x1=210	x2=220
s1=14	s2=19
n1=10	n2=10

With a p-value between 0.05 and 0.10 and =0.025, draw a conclusion and interpret the results of this hypothesis test.

Select the correct answer below:

Fail to reject the null hypothesis. There is not sufficient evidence to concludethat theaverage amount of overtime completed byhuman resource employees is less than the mean amount of overtime completed by management employees.

Fail to reject the null hypothesis. There is sufficient evidence to concludethat theaverage amount of overtime completed byhuman resource employees is less than the mean amount of overtime completed by management employees.

Reject the null hypothesis. There issufficient evidence to concludethat theaverage amount of overtime completed byhuman resource employees is less than the mean amount of overtime completed by management employees.

Reject the null hypothesis. There is not sufficient evidence to concludethat theaverage amount of overtime completed byhuman resource employees is less than the mean amount of overtime completed by management employees.