Question

The project manager of a company developed an improvement alternative where the results showed a productivity increase. The plant manager is not confident with this information and wants to validate the improvement with a 97.5% of confidence level. The expected mean is 20lbs/hr and has a variance of 4lbs/hr. The plant manager requested 10 samples: 20.3, 23, 22, 23.5, 21.9, 24, 23, 22, 22.5, 24. Develop the five steps of the hypothesis analysis and determine if the project manager improved the rate from 20lb/hr.

Choose one of the following alternatives:

Ho: μ = 20lb/hr, H1: μ < 20lb/hr
		Ho: μ = 20lb/hr, H1: μ > 20lb/hr
		Ho: μ = 20lb/hr, H1: μ ≠ 20lb/hr
		Ho: μ < 20lb/hr, H1: μ > 20lb/hr

Answer 1

	Values ( X )
	20.3	5.3824
	23	0.1444
	22	0.3844
	23.5	0.7744
	21.9	0.5184
	24	1.9044
	23	0.1444
	22	0.3844
	22.5	0.0144
	24	1.9044
Total	226.2	11.556

To Test :-

Ho: μ = 20lb/hr

H1: μ > 20lb/hr

Test Statistic :-

t = 7.3119

Test Criteria :-

Reject null hypothesis if

Result :- Reject null hypothesis

Conclusion :- Accept Alternative Hypothesis

μ > 20lb/hr

There is sufficient evidence to support the claim that the project manager improved the rate from 20lb/hr.