A psychologist obtains a random sample of 20 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 20 children in the study result in a sample mean of 104.1and sample standard deviation of 15?, is there evidence that the children have higher?IQs? Use the a= 0.10

A psychologist obtains a random sample of 20 mothers in the rst 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 10s are normally distributed with a mean of 100. If the le of the 20 children in the study result in a sample mean of 104.1 and sample standard deviation of 15, is there evidence that the children have higher le? Use the ct = 0.10 level of signicance. Complete parts (a) through (d). (a) Determine the null and alternative hypotheses. H0: p = 100 H1: p > 100 (b) Calculate the P-value. P-value = D (Round to three decimal places as needed.)