Apsychologist obtains a random sample of 2020 mothers in the first trimester of their pregnancy. the mothers are asked to play mozart in the house at least 30 minutes each day until they give birth. after 5 years, the child is administered an iq test. it is known that iqs are normally distributed with a mean of 100. if the iqs of the 2020 children in the study result in a sample mean of 104.3and sample standard deviation of 14, is there evidence that the children have higher iqs? use the alpha equals 0.05α level of significance.