For a particular type of Cancer, chemotherapy provides a 5-year survival rate of 80%. A test randomly selects 18 patients who are just starting with this chemotherapy. 14 will survive beyond 5 years. 6 will die within 5 years.
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Chemotherapy is not fun! You want to know if it was an effective treatment for four patients. You know the size of 4 tumors before and after 20 chemo sessions. You decide to conduct a matched-pairs experimental design. You know tumor sizes are normally distributed. What is the value of the test statistic? The tumor sizes (in centimeters) are listed below: Tumor Size_Before Chemo Size_After Chemo Diff (after - before) 1 6 3 -3 2 4.5 2.5 -2 3 7.6 3.6 -4 4 5 2 -3 Options: 8.99 0.05 -7.35 -3.68 4.28
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The number of living Americans who have had a cancer diagnosis has increased drastically since $1971 .$ In part, this is due to more testing for cancer and better treatment for some cancers. In part, it is because the population is older, and cancer is largely a disease of the elderly. The number of cancer survivors (in millions) between $2000(t=0)$ and $2012(t=12)$ is approximately $$N(t)=0.00445 t^{2}+0.2903 t+9.564 \quad(0 \leq t \leq 12)$$ a. How many living Americans had a cancer diagnosis in $2000 ?$ In $2012 ?$ b. Assuming that the trend continued, how many cancer survivors were there in $2014 ?$
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