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.
The hypotheses are:
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
Which one is the hypothesis?