As part of study of the development of the thymus gland, researchers weighed the glands of five chick embryos after 14 days of incubation. The thymus weights (mg) were as follows:
29.6 21.5 28.0 34.6 44.9
For these data, the mean is 31.7 and the standard deviation is 8.7
a. Calculate the standard error of the mean.
b. Construct a 95% confidence interval for the population mean.
c. Construct the 90 % confidence interval for the population mean.
d. Compare and explain the answer obtained in part (b) and part (c).