Hypothesis Testing

Feb 3rd, 2012
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There is a new drug that is used to treat leukemia. The following data represents the remission time in weeks for a random sample of 21 patients using the drug.

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Name:Date:Hypothesis TestingAnswer each question completely to recieve full credit1. There is a new drug that is used to treat leukemia. The following datarepresents the remission time in weeks for a random sample of 21 patientsusing the drug.101110720343219322362522171363591666Let X be a random variable representing the remission time in weeks for allpatients using the new drug. Assume that the distribution of x is normal. Apreviously used drug treatment has a mean remission time of 12.5 weeks.Does the data indicate that the mean remission time using the new drug isdifferent from 12.5 week at a level of significance of 0.01?State the Null HypothesisThe mean remission time using the new drug is same as before i.e.,Ho: = 12.5State the Alternatice HypothesisThe mean remission time using the new drug is different than before i.e.,Ho: 12.5State the Level of significanceHere the level of significance is 0.01 or 1%.State the Test StatisticThe value of the test statistic is 2.1059(Test statistic= (sample mean-hypothesized mean)/(sd/sqrt(sample size)))Perform CalculationsFor 0.01 significance level the critical value is 2.8453.Perform CalculationsFor 0.01 significance level the critical value is 2.8453.Statistical ConclusionThe test statistic and critical value shows that the test statistic does not fall inrejection region thus we are failing to reject the null hypothesis.Experimental ConclusionAs w

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