A medical researcher is working on a new treatment for a cer…

A medical researcher is working on a new treatment for a certain type of cancer.  The average survival time after diagnosis on the standard treatment is two years.  In an early trial, she tries the new treatment on three subjects who have an average survival time of four years.  Although the survival time has doubled, the results are not statistically significant even at the

For a study of the development of the thymus gland, research…

For a study of the development of the thymus gland, researchers weighed the glands of six chick embryos after 14 days of incubation. The thymus weights (mg) were as follows:  33.8     27.3     30.8     32.6     43.5     47.6   a. Find a 98% confidence interval estimate for the population mean weight of the thymus glands of chick embryos. Show your work for full credit (6 points) b. Interpret the confidence interval in context of the problem. (2 points) c. If we kept the same level of confidence (98%) but take 4 times as large of a sample size, in general what would happen to the width of the confidence interval? You do NOT need to find the new interval (1 point). d. Find a 95% confidence interval estimate for the population variance of the thymus glands of chick embryos. Show your work for full credit (6 points)