In: Math
. Let X be the soil strength of a sample taken at 35mm depth in a large field. Assume X is normally distributed with an UNKNOWN standard deviation. We are interested in computing confidence intervals for μ, the unknown population mean soil strength at 35mm in this particular field. Four soil samples are randomly chosen from the field with the measurements (15, 21, 30, 34).
a. compute the 80% CI.
b. compute the 95% CI.
c. compare the two confidence intervals from a. and b.
(Which one is more precise? Which one is more accurate