A company has established an experiment with its production process in which three temperature settings are used and five elapsed times are used for each setting.The company then produces one product under each and measures the resulting strength of the product.The managers are mainly interested in determining whether the mean strength is the same at all temperature settings,but they know that controlling for process time is important.The following data were observed from the experiment:
Based on these data and experimental design,the primary null hypothesis to be tested is
H₀ : μ₁ = μ₂ = μ₃.

Question

A company has established an experiment with its production process in which three temperature settings are used and five elapsed times are used for each setting.The company then produces one product under each and measures the resulting strength of the product.The managers are mainly interested in determining whether the mean strength is the same at all temperature settings,but they know that controlling for process time is important.The following data were observed from the experiment:

Based on these data and experimental design,the primary null hypothesis to be tested is
H₀ : μ₁ = μ₂ = μ₃.

Quizplus · Accepted Answer

The null hypothesis given is stating that the mean strength is the same at all temperature settings. This aligns with the managers' interest in determining whether there is a difference in mean strength between the three temperature settings. Therefore, the primary null hypothesis to be tested is true.

A Company Has Established an Experiment with Its Production Process