4.37 According to test theory, scores on a certain IQ test are normally distributed. This test was given to 18 girls of similar age and their scores were 114, 81, 87, 114, 113, 87, 111, 89, 93, 108, 99, 93, 100, 95, 93, 95, 106, 108. Test the null hypothesis that these scores are normally distributed with

(a) Unspecified mean and variance.

(b) Mean 100 and variance 100.