Maths--1條幾難下既問題
2007-08-23 9:58 pm
Q6. Brand A pain relief tablet is said to last μ=6 hours with σ=0.4 hours and to be normally distributed. The company is introducing a Brand A+ which is supposed to be more effective and to last longer. A sample of 20 patients tried the new tablets and was found to have a sample mean of 6.2 hours. On the basis of this sample can the company be believed? (Does the new tablet last longer?) Use α=0.05
回答 (2)
2007-08-23 11:10 pm
參考: My Maths knowledge
2007-08-23 10:28 pm
Ho: u=6 hours
H1: u>6 hours
σ=0.4, n=20, s=6.2 hours
Test statistic = 6.2 / (0.4/20^1/2) = 69.32
Critical value, Z( α=0.05 ) = 1.645
As test statistic > critical value
Ho is rejected at 5% significance level
Hence, the new tablet lasts longer than the old one
2007-08-23 16:13:02 補充：
Sorry, test statistic = (6.2-6.0)/(0.4/20^1/2) = 2.236As test statistic is greater than critical value, Ho is rejected at 5% significance level.The new table can last longer
H1: u>6 hours
σ=0.4, n=20, s=6.2 hours
Test statistic = 6.2 / (0.4/20^1/2) = 69.32
Critical value, Z( α=0.05 ) = 1.645
As test statistic > critical value
Ho is rejected at 5% significance level
Hence, the new tablet lasts longer than the old one
2007-08-23 16:13:02 補充：
Sorry, test statistic = (6.2-6.0)/(0.4/20^1/2) = 2.236As test statistic is greater than critical value, Ho is rejected at 5% significance level.The new table can last longer
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https://hk.answers.yahoo.com/question/index?qid=20070823000051KK02439