In: Statistics and Probability
An article in Cancer Research “Analyses of littermatched time-to-response data, with modifications for recovery of interlitter information,” (1977, Vol. 37, pp. 3863–3868) tested the tumorigenesis of a drug. A total of 41 rats were randomly selected from litters and given the drug. The times of tumor appearance were recorded as follows:
101, 104, 104, 77, 89, 88, 104, 96, 82, 70, 89, 91, 39, 103, 93, 85, 104, 104, 81, 67, 104, 104, 104, 87, 104, 89, 78, 104, 86, 76, 103, 102, 80, 45, 94, 104, 104, 76, 80, 72, 73
Calculate a 99% confidence interval on the standard deviation of time until a tumor appearance. Assume population is approximately normally distributed.
Solution :
99% Confidence interval on the standard deviation = (12.3789
< σ < 22.2283)