Reserchers involved in the study of gifted children collected the information about the IQs of the mothers of these children alongwith the information on the children.Based on a random sample of 36 gifted children, the average (mean) IQ of their mothers was found to be 118 with the standard deviation of 6.5.The null and the alternate hypothesis to test a claim that the average IQs of the mothers of gifted children is higher than 100, which is the average IQ of the popluation at large are: