Q1) Researcher is estimating effectiveness of new physical education program for elementary school children. Program is designed to decrease competition and increase individual self-esteem. Sample of n=16 children is chosen and children are placed in new program. After 3 months, each child is given standardized self-esteem test. For general population of elementary school children, scores on the self-esteem test form normal distribution with m=40 and s =8.
a) If researcher gets sample mean of M=42. Is this sufficient evidence to conclude that program has significant effect? Suppose a two-tailed test with a=0.05.
b) If sample mean is M=44. Is this sufficient to demonstrate significant effect? Again assume a Two-tailed test with a=0.05.
c) Briefly describe why you reached different conclusions for part a and part b