In an article by S. Josephina Concannon in The Journal of Educational Research, November 1975, entitled "Comparison of the
Stanford-Binet Scale with the Peabody Picture Vocabulary Test,"
a report is given about a sample of 32 five-year-old children of
above average ability. The average IQ score on the Standord-Binet
test is given to be 134.4 for these children with s = 6.53.
(a) Assuming that IQ scores are N(µ,225), test the hypothesis
for these children. Use a = 0.05.
(b) Assuming normality, but that o2 is not known, test the
hypotheses (a= 0.05) given in part (a).