Hypothesis Testing

Problem 1

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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112019617356

103432251396

Let X be a random variable representing the remission time in weeks for all patients using the new drug. Assume that the distribution of x is normal. A previously 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 is different from 12.5 week at a level of significance of ?

State the Null Hypothesis

State the Alternative Hypothesis

State the Level of significance

State the Test Statistic

Perform Calculations

Statistical Conclusion

Experimental Conclusion

Problem 2

We wish to test the claim that the mean body mass index (BMI) of men is equal to the mean BMI of women. Use the data to the right to test this claim.

State the Null Hypothesis

State the Alternatice Hypothesis

State the Level of significance

State the Test Statistic

Perform Calculations

Statistical Conclusion

Experimental Conclusion