2. (25 points) Length of arm of newborn children is normally distributed with average of

11cms and standard deviation of 1.2cms. A group of 50 newborn children is randomly selected from the population and are found to have an average arm length of 13.7 cms.

Is this evidence that average arm length of new born children is different from 14cms?

Using p-value approach test the hypothesis at a = 0.05.