Question: The Resolve Pharmaceutical Company claims its new formulation for its over-the-counter sinus medication is faster acting than its original formulation. Before, people who took the medication felt substantial relief in µ = 32.8 minutes. A sample of 24 people who were given the new formulation felt substantial relief in \(\bar{X}\) = 31.6 minutes with a standard deviation of s = 5.3 minutes. Does the data indicate that mean amount of time to feel substantial relief for the new formulation is less than the old formulation? Use a 1% significance level.

Ha: \(\mu \ge 32.8\)

H1:

= 0.01

Distribution: t-distribution

Test Statistic t = -1.109

P-value p = 0.1394

Decision on H0: Fail to reject

Interpretation: We don't have enough evidence to support the claim that mean amount of time to feel substantial relief for the new formulation is less than the old formulation.