The Central Limit Theorem tells us that the sampling distribution of can be approximated by a normal distribution whenever .

A. The sample size is large enough.
B. The population size is large enough.
C. The sample was normally distributed.
D. We can compute a value for E and σ.
E. n/N < 0.5

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).