Question

A standard painkiller used for patients after minor surgeries is known to bring relief in 3.5 minutes on the average (\muμ). A new painkiller is hypothesized to bring faster relief to patients. To test this hypothesis, a sample of 19 patients with minor surgeries are selected and given the new painkillers. This sample yields a mean of 2.8 minutes and a standard deviation of 1.1 minutes. Do the data provide sufficient evidence to indicate that the new painkiller indeed works faster? Assume the times to relief are normally distributed and use \alphaα = 0.05.

Which of the following pairs of hypotheses is appropriate for this study?

H0 : \mu μ = 3.5 vs. H\alpha α : \mu μ > 3.5

H0 : \mu μ = 3.5 vs. H\alpha α : \mu μ < 3.5

H0 : \mu μ = 2.8 vs. H\alpha α : \mu μ < 2.8

H0 : \mu μ = 3.5 vs. H\alpha α : \mu μ \ne ≠ 3.5

H0 : \mu μ = 3.5 vs. H\alpha α : \mu μ < 2.8

Answer 1