Question

(12pts)A new idea for treating advanced melanoma, the most serious skin cancer, is brought up. Genetically engineered white blood cells can recognize and destroy cancer cells, after infused these cells into patients. The subjects in a small initial study were 11 patients whose melanoma had not responded to existing treatment. One research question is how rapidly the new cells would multiply after infusion, as measure by the doubling time in days. Here are the data collected for doubling time.

1.4, 1.0 , 1.3, 1.0. , 1.3, 2.0 , .6., .8 .7 .9 1.9

what is the sample and population of study?

what is the standard deviation?

One researcher claimed that the average doubling time is more than 1 day. Perform a statistical analysis to justify his claim based on 0.05 significance level.

Answer 1

Ans:

sample is  subjects in a small initial study having 11 patients whose melanoma had not responded to existing treatment.

Population is all patients having melonoma disease

sample mean=1.173

standard deviation=0.4606

Test statistic:

t=(1.173-1)/(0.4606/SQRT(11))

t=1.245

df=11-1=10

p-value=TDIST(1.245,10,1)=0.1210

As,p-value>0.05,we fail to reject null hypothesis.

There is not sufficient evidence to support the claim that the average doubling time is more than 1 day