Question

The dispenser of a liquid medicine is dispensing 2ml / hr according to the doctor's instructions. The nurse wants to be sure that the dispenser is working accordingly. With a 90% confidence level, determine if the equipment is accurate. Samples: 2.1, 1.8, 2.1, 2, 1.9, 2.2, 2.1, 2, 1.8, 1.9. Develop the five steps of the hypothesis analysis and determine if the is working as requested.

Choose the following alternative:

Ho: μ = 2ml/hr, H1: μ < 2ml/hr

Ho: μ = 2ml/hr, H1: μ > 2ml/hr

Ho: μ = 2ml/hr, H1: μ ≠ 2ml/hr

Ho: μ < 2ml/hr, H1: μ > 2ml/hr

Answer 1

	Values ( X )
	2.1	0.0121
	1.8	0.0361
	2.1	0.0121
	2	0.0001
	1.9	0.0081
	2.2	0.0441
	2.1	0.0121
	2	0.0001
	1.8	0.0361
	1.9	0.0081
Total	19.9	0.169

To Test :-

Ho: μ = 2ml/hr

H1: μ ≠ 2ml/hr

Test Statistic :-

t = -0.2308

Test Criteria :-

Reject null hypothesis if

Result :- Fail to reject null hypothesis

Conclusion :- Accept Null Hypothesis

μ = 2ml/hr

There is sufficient evidence to support the claim that the dispenser of a liquid medicine is dispensing 2ml / hr according to the doctor's instructions at 10% level of significance.

The dispenser is working accordingly