A psychologist obtains a random sample of 20 mothers in the first trimester of their pregnancy. The mothers are asked to play classical music 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 102.2 and sample standard deviation of 15, is there evidence that the children have higher IQs? Use the a = 0.01 level of significance. Complete parts (a) through (d). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values. (b) Identify the test statistic. (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range (c) State the conclusion for the test. OA. Reject Ho because the P-value is less than the a = 0.01 level of significance.A psychologist obtains a random sample of 20 mothers in the first trimester of their pregnancy. The mothers are asked to play classical music 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 102.2 and sample standard deviation of 15, is there evidence that the children have higher IQs? Use the a = 0.01 level of significance. Complete parts (a) through (d). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values. (c) State the conclusion for the test. A. Reject Ho because the P-value is less than the a = 0.01 level of significance. O B. Do not reject Ho because the P-value is less than the a = 0.01 level of significance. O C. Reject Ho because the P-value is greater than the a = 0.01 level of significance. D. Do not reject Ho because the P-value is greater than the a = 0.01 level of significance. (d) State the conclusion in context of the problem. sufficient evidence at the a = 0.01 level of significance to conclude that mothers who listen to classical music have children with higher IQs. There