In the last problem, you were determining if the new cancer drug was better than a...
In the last problem, you were determining if the new cancer drug was better than a placebo. Now you want to determine the probability for a Type II error (accepting the null hypothesis even though it was false). If the difference in mean tumor reduction between actual and placebo was in reality ∆0 = 7.5%
1. What is the probability you would mistakenly conclude there was no difference? Use the information from problem
2. Provide a confidence interval (with α = 0.01) for the value of
the population standard deviation (not variance), σdrug, for the 16
patients that were given the actual supplemental drug.
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In the last problem, you were determining if the new cancer drug
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Imagine that a researcher develops a new cancer drug that shrinks tumors, which she measures using an MRI. The researcher needs to determine if the new drug performs differently from, or the same as, the current gold-standard drug therapy which shrinks tumor diameter by an average of 0.1 mm. After performing an experiment to test the new drug on a group of 5747 cancer patients, the researcher analyzes the measurements of tumor shrinkage by using a one-sample 2-test for a...
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