A pharmaceutical manufacturer has been researching new formulas to provide quick
ID: 3240714 • Letter: A
Question
A pharmaceutical manufacturer has been researching new formulas to provide quicker relief of minor pains. Their laboratories have produced three different formulas and they want to determine if the different formulas produce different responses. Fifteen people who complained of minor pains were recruited for an experiment;five were randomly assigned to each formula. Each person was asked to take the medicine and report the length of time until some relief was felt (minutes). The results are shown below. (Assume normal distributions with equal variances.) Do these data provide sufficient evidence to indicate that differences in the average time of relief exist among the three formulas? Use alpha = 0.05.Explanation / Answer
Solution:
H0: 1 = 2 = 3 vs.
H1: At least two means differ
Conclusion: Reject the null hypothesis. Yes, differences in the average time of relief exist in at least two of the three formulas, according to the data.
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