Question: Geologists dating rock, using a strontium-isotope technique, provided the ages 5.2 and 4.4 million years for two specimens. Treating these as a random sample of

Geologists dating rock, using a strontium-isotope technique, provided the ages 5.2 and 4.4 million years for two specimens. Treating these as a random sample of size 2 from a normal distribution
(a) Obtain a 90% confidence interval for p, the true age of the rock formation.
(b) Geologists do get an estimate of error from the strontium-isotope analysis so they usually do not take duplicate readings. From a statistical point of view, two observations are much better than one. What happens to the length of the confidence interval if the sample size were increased from 2 to 4? Answer by considering the ratio of the lengths.

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