The weights of eggs have a Normal distribution with a mean o

The weights of eggs have a Normal distribution with a mean of 1 oz and a standard deviation of 0.1 oz.

(a) Whatisthesamplingdistributionofthesamplemeanweightoftheeggsinarandomly selected carton of a dozen eggs?

(b) What is the probability that a carton of a dozen eggs weighs more than 13 oz?

Solution

a. Sampling distribution we can use is t distribution

b. P((T-mean)/SD)> 13 = P((T-1)/0.1)>(13-1)/0.1

and we can use t distribution table to get the answer